commit 9877eb16fdbc9cd039e200eef1469040e0e8fc7e Author: charlesbvll Date: Thu Oct 8 20:15:00 2020 +0200 First commit diff --git a/BlobDetection.pde b/BlobDetection.pde new file mode 100644 index 0000000..41c50ce --- /dev/null +++ b/BlobDetection.pde @@ -0,0 +1,127 @@ +import java.util.ArrayList; +import java.util.List; +import java.util.TreeSet; + +class BlobDetection { + + PImage findConnectedComponents(PImage input, boolean onlyBiggest) { + PImage result = input.copy(); + int [] labels = new int [result.width * result.height]; + + + // ********************************************************************** + // First pass: label the pixels and store labels' equivalences + // ********************************************************************** + List> labelsEquivalences = new ArrayList>(); + ArrayList meter = new ArrayList(); + + int currLabel = 0; + + // First loop - for height + for (int y = 0; y < result.height; ++y) { + TreeSet colourAdjacent = new TreeSet(); + // Second loop - for width + for (int x = 0; x < result.width; ++x) { + if (brightness(result.pixels[y*result.width+x]) == 255) { + colourAdjacent.clear(); + for (int i = x-1; i <= x+1; i++) { + // Checks first row + if (y != 0) { + if (0 <= i && i < result.width && labels[(y-1)*result.width+i] != 0) { + colourAdjacent.add(labels[(y-1)*result.width+i]); + } + } else { + // Do nothing since we are at the first line and we cannot consider the y-1 th line... + } + } + + if (colourAdjacent.isEmpty()) { + TreeSet tree_set = new TreeSet(); + tree_set.add(++currLabel); + labelsEquivalences.add(tree_set); + meter.add(1); + labels[y*result.width+x] = currLabel; + } else { + if (colourAdjacent.size()>1) { + for (Integer i : colourAdjacent) { + labelsEquivalences.get(i-1).addAll(colourAdjacent); + } + } + int first = colourAdjacent.first(); + meter.set(first-1, meter.get(first-1)+1); + labels[y*result.width+x] = first; + } + } + } + } + + + // ********************************************************************** + // Second pass: re-label the pixels by their equivalent class + // if onlyBiggest = = true, count the number of pixels for each label + // ********************************************************************** + + // Merge all equivalence classes of labels + for (int labEq = 0; labEq < labelsEquivalences.size(); ++labEq) { + TreeSet tree_set = labelsEquivalences.get(labEq); + if (tree_set.size()>1) { + TreeSet acc = new TreeSet(); + for (Integer i : tree_set) { + TreeSet other = labelsEquivalences.get(i-1); + if (tree_set != other) { + acc.addAll(other); + } + } + tree_set.addAll(acc); + for (Integer i : tree_set) { + labelsEquivalences.set(i-1, tree_set); + } + } + } + + // Evaluate size of blob + int[] blobSize = new int[labelsEquivalences.size()]; + for (int labEq = 0; labEq tree_set = labelsEquivalences.get(labEq); + int total = 0; + for (Integer i : tree_set) { + total += meter.get(i-1); + } + blobSize[labEq] = total; + } + + + // ********************************************************************** + // Finally: + // if onlyBiggest = = false, output an image with each blob colored in one uniform color + // if onlyBiggest = = true, output an image with the biggest blob in white and others in black + // ********************************************************************** + + int[] colorArray = new int[blobSize.length]; + if (onlyBiggest) { + int maximum = -1; + for (int i = 0; i < blobSize.length; i++) { + maximum = max(maximum, blobSize[i]); + } + for (int i = 0; i < blobSize.length; i++) { + colorArray[i] = (blobSize[i] == maximum) ? color(255) : color(0); + } + } else { + for (TreeSet tree_set : labelsEquivalences) { + int randomColor = color(random(255), random(255), random(255)); + for (Integer i : tree_set) { + colorArray[i-1] = randomColor; + } + } + } + + // Fill the map with color according to their label + for (int i = 0; i < result.width*result.height; ++i) { + if (labels[i] != 0) { + result.pixels[i] = colorArray[labels[i]-1]; + } + } + + return result; + } +} diff --git a/Cylinder.pde b/Cylinder.pde new file mode 100644 index 0000000..75ebae8 --- /dev/null +++ b/Cylinder.pde @@ -0,0 +1,70 @@ +final float cylinderBaseSize = 20; +final float cylinderHeight = 50; +final int cylinderResolution = 40; +final color defaultCylinderColour = color(220, 60, 60); + +class Cylinder { + PShape closedCylinder = new PShape(); + PShape openCylinder = new PShape(); + PShape topDisk = new PShape(); + + //############################################# + //-----------CONSTRUCTOR OF CYLINDER----------- + //############################################# + Cylinder(color cylinderColour) { + + // Initialise the Cylinder + closedCylinder = new PShape(); + openCylinder = new PShape(); + topDisk = new PShape(); + + float angle; + float[] x = new float[cylinderResolution + 1]; + float[] z = new float[cylinderResolution + 1]; + + //Get the x and y position on a circle for all the sides + for(int i = 0; i < x.length; i++) { + angle = (TWO_PI / cylinderResolution) * i; + x[i] = sin(angle) * cylinderBaseSize; + z[i] = cos(angle) * cylinderBaseSize; + } + + //############################################# + //-----------SHAPE OF OPEN CYLINDER------------ + //############################################# + openCylinder = createShape(); + openCylinder.beginShape(QUAD_STRIP); + openCylinder.fill(cylinderColour); + + //Draw the border of the cylinder + for(int i = 0; i < x.length; i++) { + openCylinder.vertex(x[i] , 0, z[i]); + openCylinder.vertex(x[i], -cylinderHeight, z[i]); + } + openCylinder.endShape(); + + //############################################# + //-----------DISK OF CLOSED CYLINDER----------- + //############################################# + topDisk = createShape(); + topDisk.beginShape(TRIANGLE_FAN); + topDisk.fill(cylinderColour); + + for (int i = 0; i< x.length; i++) { + topDisk.vertex(x[i], -cylinderHeight, z[i]); + } + topDisk.endShape(); + + // MERGE TOP DISK WITH OPEN CYLINDER + closedCylinder = createShape(GROUP); + closedCylinder.addChild(openCylinder); + closedCylinder.addChild(topDisk); + } + + //############################################# + //----------------DISPLAY METHOD--------------- + //############################################# + void display() { + gameSurface.shape(closedCylinder); + } +} diff --git a/DrawMethods.pde b/DrawMethods.pde new file mode 100644 index 0000000..c869090 --- /dev/null +++ b/DrawMethods.pde @@ -0,0 +1,140 @@ +//############################################# +//------------------DRAW GAME------------------ +//############################################# +void drawGame() { + gameSurface.beginDraw(); + basic_settings(); + drawBoard(); + drawSphere(); + drawParticleSystem(); + gameSurface.endDraw(); +} + + +//############################################# +//--------------DRAW SCORE_BOARD--------------- +//############################################# +void drawScoreBoard() { + scoreBoard.beginDraw(); + scoreBoard.background(scoreColor); + scoreBoard.text("Total Score : ", 10, 25); + scoreBoard.text(Float.toString(getPoints()), 20, 45); + scoreBoard.text("Velocity : ", 10, 65); + scoreBoard.text(Float.toString(playable_sphere.velocity.mag()), 20, 85); + scoreBoard.text("Last score : ", 10, 105); + scoreBoard.text(Float.toString(getLastPoints()), 20, 125); + scoreBoard.endDraw(); +} + + +//############################################# +//----------------DRAW TOP_VEIW---------------- +//############################################# +void drawTopView() { + topView.beginDraw(); + topView.background(topViewBoard); + + float ellipseX = (playable_sphere.location().x + boxLength/2) * square_for_score/boxLength; + float ellipseY = (playable_sphere.location().z + boxLength/2) * square_for_score/boxLength; + float ellipseWidth = 2*radius_sphere*square_for_score/boxLength; + float ellipseHeight = ellipseWidth; + topView.fill(colorSphereTopView); + topView.ellipse(ellipseX, ellipseY, ellipseWidth, ellipseHeight); + + if (particle_system!=null) { + particle_system.particleTopView(); + } + topView.endDraw(); +} + + +//############################################# +//---------------DRAW BAR_CHART---------------- +//############################################# +void drawBarChart() { + barChart.beginDraw(); + barChart.background(colorBarChart); + barChart.rectMode(CORNER); + barChart.fill(255); + + score_scale = 0.5 + hs_scroll_bar.getPos(); + rectIndex = 0; + + if (lastSecond != second() && !gamePaused) { + scores.add(getPoints()); + } + + // Display the chart + for (Float score_index : scores) { + float scaling = (Math.abs(score_index) > 2) ? 2*(log(Math.abs(score_index))) : score_index; + + float dimRect = rectSize*score_scale; + float coordX = rectIndex*rectSize*score_scale; + + for (int col = 0; col <= Math.abs(scaling); ++col) { + float coordY = col*rectSize*score_scale; + if(score_index < 0) { + barChart.rect(coordX, coordY + score_graphic/2, dimRect, dimRect); + } else { + barChart.rect(coordX, -coordY + score_graphic/2, dimRect, dimRect); + } + } + rectIndex++; + } + lastSecond = second(); + barChart.endDraw(); + + } + +//############################################# +//----------AUX METHODS FOR DRAW_GAME---------- +//############################################# + +//---------------BASIC SETTINGS---------------- +void basic_settings(){ + gameSurface.noStroke(); + gameSurface.directionalLight(directionalColor.x, directionalColor.y, directionalColor.z, 0, 1, 0); + gameSurface.ambientLight(ambientColor, ambientColor, ambientColor); + gameSurface.background(backgroundColor); +} + +//-------------SETUP OF THE BOARD-------------- +void drawBoard(){ + gameSurface.translate(width/2, height/2, -score_graphic); + gameSurface.rotateX(thetaX); + gameSurface.rotateY(thetaY); + gameSurface.rotateZ(thetaZ); + gameSurface.fill(boardColor); + gameSurface.box(boxLength, boxThickness, boxLength); +} + +//------------SETUP OF THE SPHERE-------------- +void drawSphere(){ + if(!gamePaused) { + playable_sphere.update(); + } + playable_sphere.checkEdges(); + playable_sphere.display(); +} + +//--------SETUP OF THE PARTICLE SYSTEM--------- +void drawParticleSystem(){ + for (int i = particle_system.particles.size(); i > 0; --i) { + PVector position = particle_system.particles.get(i-1); + gameSurface.pushMatrix(); + gameSurface.translate(position.x,0 , position.z ); //translate origin back to left upper corner + cylinder.display(); + gameSurface.popMatrix(); + } + + if(particle_system.origin != null) { + gameSurface.pushMatrix(); + gameSurface.translate(particle_system.origin.x , -cylinderHeight , particle_system.origin.z ); //translate origin back to left upper corner + gameSurface.shape(robotnik); + gameSurface.popMatrix(); + } + + if(!particle_system.particles.isEmpty() && !gamePaused) { + particle_system.run(); + } +} diff --git a/GameSettings.pde b/GameSettings.pde new file mode 100644 index 0000000..14d5f0d --- /dev/null +++ b/GameSettings.pde @@ -0,0 +1,54 @@ +final int window_size_x = 800; +final int window_size_y = 800; +final float depth = -1000; +final int score_graphic = 150; +final int square_for_score = score_graphic-10; + +// Colors drawGame +final color backgroundColor = color(216, 223, 239); +final color boardColor = color(78, 122, 207); +// Color bottom of window +final color bottomColor = color(162, 165, 200); +// Color drawScore +final color scoreColor = color(132, 60, 101); +// Color drawTopView +final color topViewBoard = color(56, 91, 185); +final color colorSphereTopView = color(0, 0, 0); +final color colorVillainTopView = color(150,20,20); +// Color drawBarChart +final color colorBarChart = color(125,128,190); +final PVector directionalColor = new PVector(50, 100, 200); +final float ambientColor = 200; + +final PVector topViewBoardColor = new PVector(56, 91, 185); +final int fps = 60; + +final float boxLength = 500; +final float boxThickness = 20; + +final float gravityConstant = 0.1; +final float normalForce = 1; +final float mu = 0.01; +final float frictionMagnitude = normalForce * mu; + +final float radius_sphere = 25; + +float angularSpeed = 1; +float defaultGain = 1; +float thetaX = 0; +float thetaY = 0; +float thetaZ = 0; +float oldThetaX = 0; +float oldThetaY = 0; +float oldThetaZ = 0; + +PShape robotnik; +PImage texture; + +boolean gamePaused = false; +boolean shiftPressed = false; + +float score_scale = 1; +float rectIndex = 0; +float lastSecond = 0; +float rectSize = 8; diff --git a/HScrollbar.pde b/HScrollbar.pde new file mode 100644 index 0000000..85958af --- /dev/null +++ b/HScrollbar.pde @@ -0,0 +1,110 @@ +class HScrollbar { + float barWidth; //Bar's width in pixels + float barHeight; //Bar's height in pixels + float xPosition; //Bar's x position in pixels + float yPosition; //Bar's y position in pixels + + float sliderPosition, newSliderPosition; //Position of slider + float sliderPositionMin, sliderPositionMax; //Max and min values of slider + + boolean mouseOver; //Is the mouse over the slider? + boolean locked; //Is the mouse clicking and dragging the slider now? + + /** + * @brief Creates a new horizontal scrollbar + * + * @param x The x position of the top left corner of the bar in pixels + * @param y The y position of the top left corner of the bar in pixels + * @param w The width of the bar in pixels + * @param h The height of the bar in pixels + */ + HScrollbar (float x, float y, float w, float h) { + barWidth = w; + barHeight = h; + xPosition = x; + yPosition = y; + + sliderPosition = xPosition + barWidth/2 - barHeight/2; + newSliderPosition = sliderPosition; + + sliderPositionMin = xPosition; + sliderPositionMax = xPosition + barWidth - barHeight; + } + + /** + * @brief Updates the state of the scrollbar according to the mouse movement + */ + void update() { + if (isMouseOver()) { + mouseOver = true; + } + else { + mouseOver = false; + } + if (mousePressed && mouseOver) { + locked = true; + } + if (!mousePressed) { + locked = false; + } + if (locked) { + newSliderPosition = constrain(mouseX - barHeight/2, sliderPositionMin, sliderPositionMax); + } + if (abs(newSliderPosition - sliderPosition) > 1) { + sliderPosition = sliderPosition + (newSliderPosition - sliderPosition); + } + } + + /** + * @brief Clamps the value into the interval + * + * @param val The value to be clamped + * @param minVal Smallest value possible + * @param maxVal Largest value possible + * + * @return val clamped into the interval [minVal, maxVal] + */ + float constrain(float val, float minVal, float maxVal) { + return min(max(val, minVal), maxVal); + } + + /** + * @brief Gets whether the mouse is hovering the scrollbar + * + * @return Whether the mouse is hovering the scrollbar + */ + boolean isMouseOver() { + if (mouseX > xPosition && mouseX < xPosition+barWidth && + mouseY > yPosition && mouseY < yPosition+barHeight) { + return true; + } + else { + return false; + } + } + + /** + * @brief Draws the scrollbar in its current state + */ + void display() { + noStroke(); + fill(204); + rect(xPosition, yPosition, barWidth, barHeight); + if (mouseOver || locked) { + fill(0, 0, 0); + } + else { + fill(102, 102, 102); + } + rect(sliderPosition, yPosition, barHeight, barHeight); + } + + /** + * @brief Gets the slider position + * + * @return The slider position in the interval [0,1] corresponding to [leftmost position, rightmost position] + */ + float getPos() { + return (sliderPosition - xPosition)/(barWidth - barHeight); + } +} diff --git a/HoughComparator.pde b/HoughComparator.pde new file mode 100644 index 0000000..bd7814d --- /dev/null +++ b/HoughComparator.pde @@ -0,0 +1,14 @@ +class HoughComparator implements java.util.Comparator { + int[] accumulator; + + public HoughComparator(int[] accumulator) { + this.accumulator = accumulator; + } + + @Override + public int compare(Integer l1, Integer l2) { + if (accumulator[l1] > accumulator[l2] || (accumulator[l1] == accumulator[l2] && l1 < l2)) + return -1; + return 1; + } +} diff --git a/ImageProcessing.pde b/ImageProcessing.pde new file mode 100644 index 0000000..0212f0a --- /dev/null +++ b/ImageProcessing.pde @@ -0,0 +1,384 @@ +//********Merge with ImgProcessing******** //<>// +import gab.opencv.*; +//********Merge with ImgProcessing******** +import processing.video.*; + +class ImageProcessing extends PApplet { + Movie cam; + OpenCV opencv; + TwoDThreeD converter; + PVector rotation; + PImage img; + + /********SETTINGS FOR HSB TRESHOLD********/ + final int Hmin = 105, Hmax = 140; + final int Smin = 35, Smax = 255; + final int Bmin = 40, Bmax = 255; + /*****************************************/ + + + BlobDetection blobDetection; + + List detectedCorners; + + void settings() { + size(455, 255, P2D); + } + + + void setup() { + + opencv = new OpenCV(this, 100, 100); + + blobDetection = new BlobDetection(); + + //Video + cam = new Movie (this, "testvideo.avi"); //Put the absolute path here !! + cam.loop(); + } + + + void draw() { + + if (cam.available() == true) cam.read(); + img = cam.get(); + + converter =new TwoDThreeD(img.width, img.height, 0); + + img.resize(img.width/2, img.height/2); + image(img, 0, 0); + + img = thresholdHSB(img, Hmin, Hmax, Smin, Smax, Bmin, Bmax ); + img = convolute(img); + img = blobDetection.findConnectedComponents(img, false); + img = scharr(img); + img = threshold(img, 100); // PImage threshold(PImage img, int threshold) the threshold value can be changed + plotLines(hough(img, 4), img); + + ArrayList lines = hough(img, 4); + detectedCorners = new QuadGraph().findBestQuad(lines, width, height, width*height, width*height/64, false); + + stroke(0); + for (PVector vector : detectedCorners) { + fill(color(255, 255, 255)); + ellipse(vector.x, vector.y, 30, 30); + } + + } + + PVector getRotation() { + if (detectedCorners == null) { + return new PVector(0, 0, 0); + } + + if (detectedCorners.size() == 4) { + for (PVector corner : detectedCorners) { + corner.set(corner.x, corner.y, 1); + } + + rotation = converter.get3DRotations(detectedCorners); + if ((rotation.x) <= - PI/3) rotation.set(rotation.x + PI, rotation.y, rotation.z); + else if ((rotation.x) >= PI/3) rotation.set(rotation.x - PI, rotation.y, rotation.z); + } + + return rotation; + } + + + + + + //******************************* + // CONVOLUTION + //******************************* + PImage convolute(PImage img) { + float[][] kernel = { + { 9, 12, 9}, + { 12, 15, 12}, + { 9, 12, 9}}; + + + float normFactor = 99.f; + + // create a greyscale image (type: ALPHA) for output + PImage result = createImage(img.width, img.height, ALPHA); + + // kernel size N = 3 + for (int i = 1; i < img.width -1; i++) { + for (int j = 1; j< img.height -1; j++) { + int tot = 0; + int c = 0; + for (int l = 0; l<3; l++) { + for (int h = 0; h<3; h++) { + c = i-1 + img.width*(j-1+h) +l; + tot += kernel[h][l] * brightness(img.pixels[c]); + } + } + result.pixels[j * img.width + i] = color(tot/normFactor); + } + } + return result; + } + + + //******************************* + // THRESHOLD + //******************************* + // Inverted Binary Threshold + PImage threshold(PImage img, int threshold) { + // create a new, initially transparent, 'result' image + PImage result = createImage(img.width, img.height, RGB); + for (int i = 0; i < img.width * img.height; i++) { + if (brightness(img.pixels[i]) < threshold) { + result.pixels[i] = color(0); + } else { + result.pixels[i] = color(255); + } + } + return result; + } + + + // HUE Method + PImage applyHue(PImage img, int min, int max) { + // create a new, initially transparent, 'result' image + PImage result = createImage(img.width, img.height, RGB); + + for (int i = 0; i < img.width * img.height; i++) { + float h = hue(img.pixels[i]); + if (min < h && max > h) { + result.pixels[i] = img.pixels[i]; + } else { + result.pixels[i] = color(h); + } + } + return result; + } + + + // Threhold method for HUE, BRIGHTNESS and SATURATION + PImage thresholdHSB(PImage img, int minH, int maxH, int minS, int maxS, int minB, int maxB) { + PImage result = createImage(img.width, img.height, RGB); + + for (int i = 0; i < img.width * img.height; i++) { + float hue = hue(img.pixels[i]); + float bri = brightness(img.pixels[i]); + float sat = saturation(img.pixels[i]); + if (hue >= minH && hue <= maxH && bri <= maxB && bri >= minB && sat >= minS && sat <= maxS) + result.pixels[i] = color(255); + else + result.pixels[i] = color(0); + } + return result; + } + + //******************************* + // SCHARR + //******************************* + PImage scharr(PImage img) { + float[][] vKernel = { + { 3, 0, -3 }, + { 10, 0, -10 }, + { 3, 0, -3 } }; + + float[][] hKernel = { + { 3, 10, 3 }, + { 0, 0, 0 }, + { -3, -10, -3 } }; + PImage result = createImage(img.width, img.height, ALPHA); + // clear the image + for (int i = 0; i < img.width * img.height; i++) { + result.pixels[i] = color(0); + } + float max=0; + float[] buffer = new float[img.width * img.height]; + + // *********************************** + // Implement here the double convolution + // *********************************** + for (int j = 1; j< img.height -1; j++) { + for (int i = 1; i < img.width -1; i++) { + float sum_v = 0; + float sum_h = 0; + int c = 0; + for (int l = 0; l<3; l++) { + for (int h = 0; h<3; h++) { + c = i -1 + img.width * (j-1+h) +l; + sum_v += vKernel[h][l] * brightness(img.pixels[c]); + sum_h += hKernel[h][l] * brightness(img.pixels[c]); + } + } + + float sum = sqrt(pow(sum_h, 2) + pow(sum_v, 2)); + buffer[j * img.width + i] = sum; + if (max <= sum) max = sum; + } + } + + for (int y = 1; y < img.height - 1; y++) { // Skip top and bottom edges + for (int x = 1; x < img.width - 1; x++) { // Skip left and right + int val=(int) ((buffer[y * img.width + x] / max)*255); + result.pixels[y * img.width + x]=color(val); + } + } + return result; + } + + + //******************************* + // HOUGH + //******************************* + + // ********************************************************************** + // Step_1 - Draw the lines requiered - Compute and Store the polar representation + // of lines passing through edge pixels + // ********************************************************************** + ArrayList hough(PImage edgeImg, int nLines) { + + float discretizationStepsPhi = 0.07f; + float discretizationStepsR = 2.8f; + + ArrayList bestCandidates=new ArrayList(); + + // dimensions of the accumulator + int phiDim = (int) (Math.PI / discretizationStepsPhi +1); + //The max radius is the image diagonal, but it can be also negative + int rDim = (int) ((sqrt(edgeImg.width*edgeImg.width + + edgeImg.height*edgeImg.height) * 2) / discretizationStepsR +1); + // our accumulator + int[] accumulator = new int[phiDim * rDim]; + + + // pre-compute the sin and cos values + float[] tabSin = new float[phiDim]; + float[] tabCos = new float[phiDim]; + float ang = 0; + float inverseR = 1.f / discretizationStepsR; + for (int accPhi = 0; accPhi < phiDim; ang += discretizationStepsPhi, accPhi++) { + // we can also pre-multiply by (1/discretizationStepsR) since we need it in the Hough loop + tabSin[accPhi] = (float) (Math.sin(ang) * inverseR); + tabCos[accPhi] = (float) (Math.cos(ang) * inverseR); + } + + + // Fill the accumulator: on edge points (ie, white pixels of the edge + // image), store all possible (r, phi) pairs describing lines going + // through the point. + for (int y = 0; y < edgeImg.height; y++) { + for (int x = 0; x < edgeImg.width; x++) { + // Are we on an edge? + if (brightness(edgeImg.pixels[y * edgeImg.width + x]) != 0) { + + // ...determine here all the lines (r, phi) passing through + // pixel (x,y), convert (r,phi) to coordinates in the + // accumulator, and increment accordingly the accumulator. + // Be careful: r may be negative, so you may want to center onto + // the accumulator: r += rDim / 2 + for (int phi=0; phi minVotes && isMaxOverArea(accumulator, elem, REGION_SIZE, phiDim, rDim)) { + bestCandidates.add(elem); + } + } + + // Sort the lsit of bestCandidates with the HoughComparator class + bestCandidates.sort(new HoughComparator(accumulator)); + + // Construction of the arrayList of the lines for the return + ArrayList lines = new ArrayList(); + + // New method to find the lines (do not need to check if " > minVotes" + // since the array bestCandidate already checked that condition + for (int i=0; i < bestCandidates.size() && i < nLines; ++i) { + int idx = bestCandidates.get(i); + // first, compute back the (r, phi) polar coordinates: + int accPhi = (int) (idx / (rDim)); + int accR = idx - (accPhi) * (rDim); + float r = (accR - (rDim) * 0.5f) * discretizationStepsR; + float phi = accPhi * discretizationStepsPhi; + lines.add(new PVector(r, phi)); + } + return lines; + } + + private boolean isMaxOverArea(int[] accumulator, int idx, int REGION_SIZE, int phiDim, int rDim) { + int threshold=accumulator[idx]; + for (int dx=Math.max(0, idx%rDim-REGION_SIZE); dxthreshold) { + return false; + } + } + } + return true; + } + + // ********************************************************************** + // Step_3 - Plot lines on the top of the image + // ********************************************************************** + void plotLines(ArrayList lines, PImage edgeImg) { + for (int idx = 0; idx < lines.size(); idx++) { + PVector line=lines.get(idx); + float r = line.x; + float phi = line.y; + + // Cartesian equation of a line: y = ax + b + // in polar, y = (-cos(phi)/sin(phi))x + (r/sin(phi)) + // => y = 0 : x = r / cos(phi) + // => x = 0 : y = r / sin(phi) + + // compute the intersection of this line with the 4 borders of the image + int x0 = 0; + int y0 = (int) (r / sin(phi)); + int x1 = (int) (r / cos(phi)); + int y1 = 0; + int x2 = edgeImg.width; + int y2 = (int) (-cos(phi) / sin(phi) * x2 + r / sin(phi)); + int y3 = edgeImg.width; + int x3 = (int) (-(y3 - r / sin(phi)) * (sin(phi) / cos(phi))); + // Finally, plot the lines + //stroke(255, 0, 0); + stroke(204, 102, 0); + if (y0 > 0) { + if (x1 > 0) + line(x0, y0, x1, y1); + else if (y2 > 0) + line(x0, y0, x2, y2); + else + line(x0, y0, x3, y3); + } else { + if (x1 > 0) { + if (y2 > 0) + line(x1, y1, x2, y2); + else + line(x1, y1, x3, y3); + } else + line(x2, y2, x3, y3); + } + } + } +} diff --git a/ParticleSystem.pde b/ParticleSystem.pde new file mode 100644 index 0000000..43624eb --- /dev/null +++ b/ParticleSystem.pde @@ -0,0 +1,146 @@ +final PVector normalX = new PVector(1, 0, 0); + +class ParticleSystem { + ArrayList particles; + PVector originVillain; + PVector origin; + + float points; + float previousPoints = 0; + + ParticleSystem() { + originVillain = new PVector(0,-boxThickness/2 - cylinderHeight,0); + particles = new ArrayList(); + setupVillain(); + } + + //############################################# + //------------SETUP OF THE VILLAIN------------ + //############################################# + void setupVillain() { + points = 0; + + robotnik = loadShape("robotnik.obj"); + robotnik.scale(50); + robotnik.rotateX(PI); + texture = loadImage("robotnik.png"); + robotnik.setTexture(texture); + } + + //############################################# + // Main method that will add and adjacent cylinder to the whole system + //############################################# + void addParticle() { + PVector center; + int numAttempts = 100; + for(int i=0; i (boxLength/2 - cylinderBaseSize)) || (center.x < - boxLength/2 + cylinderBaseSize) || (center.z > (boxLength/2 - cylinderBaseSize)) || (center.z < - boxLength/2 + cylinderBaseSize) ) result = false; + for(PVector v : particles) + if (checkOverlap(v, center)) result = false; + popMatrix(); + return result; + } + + //############################################# + // Check if a particle with center c1 and another particle with center c2 overlap. + //############################################# + boolean checkOverlap(PVector c1, PVector c2) { + double distance = sqrt((c1.x - c2.x)*(c1.x - c2.x) + (c1.z - c2.z)*(c1.z - c2.z)); + return distance < 2*cylinderBaseSize; + } + + //############################################# + // Do the following two things : + // - Add a new cylinder at a regular time interval + // - Move the bad guy so that it always faces the movement of the ball + //############################################# + void run() { + playable_sphere.checkCylinderCollision(); + if(frameCount % 30 == 0 ) { + addParticle(); //interval set to 0.5 seconds + } + + // Rotation of the villain according to the position of the ball + float sphereZ = playable_sphere.location().z - originVillain.copy().z; + float sphereX = playable_sphere.location().x - originVillain.copy().x; + float posNormZ = normalX.copy().normalize().z; + float posNormX = normalX.copy().normalize().x; + float angleVillain = (float) Math.atan2(sphereX*posNormZ - sphereZ*posNormX, sphereX*posNormX + sphereZ*posNormZ); + normalX.x = playable_sphere.location().x - originVillain.x; + normalX.z = playable_sphere.location().z - originVillain.z; + normalX.y = playable_sphere.location().y - originVillain.y; + robotnik.rotateY(angleVillain); + } + + //############################################# + // Draw the position of the cylinder in the square top view box + //############################################# + void particleTopView() { + topView.noStroke(); + + for (int i = 0; i < particles.size(); ++i){ + PVector particle_vector = particles.get(i); + float ellipseX = (particle_vector.x + boxLength/2) * square_for_score/boxLength; + float ellipseY = (particle_vector.z + boxLength/2) * square_for_score/boxLength; + float ellipseDim = (2*cylinderBaseSize) * square_for_score/boxLength; + if(i==0){ + topView.fill(colorVillainTopView); + topView.ellipse(ellipseX, ellipseY, ellipseDim, ellipseDim); + } else { + topView.fill(defaultCylinderColour); + topView.ellipse(ellipseX, ellipseY, ellipseDim, ellipseDim); + } + } + } +} + +//############################################# +// Checks if we can add a cylinder given a x and y coordinates +//############################################# +boolean canAddCylinder(float x, float y) { + return !( (x > (width/2 + boxLength/2 - cylinderBaseSize)) || (x < width/2 - boxLength/2 + cylinderBaseSize) || (y > (height/2 + boxLength/2 - cylinderBaseSize)) || (y < height/2 - boxLength/2 + cylinderBaseSize) ); +} + +//############################################# +// Set up the origin of the villain in order to place it on the board. +//############################################# +void addCenterOfVillain() { + //when a new origin is set, remove all the cylinders and add a new cylinder at the origin + particle_system.particles.clear(); + particle_system.previousPoints = particle_system.points; + particle_system.points = 0; + scores = new ArrayList(); + + if(canAddCylinder(mouseX, mouseY)){ + PVector origin = new PVector(mouseX - width/2 , 0 , mouseY - height/2); //origin in upper left corner + particle_system.particles.add(origin); + particle_system.origin = origin; + } else { + particle_system.origin = null; + } +} diff --git a/QuadGraph.pde b/QuadGraph.pde new file mode 100644 index 0000000..1a78f77 --- /dev/null +++ b/QuadGraph.pde @@ -0,0 +1,385 @@ +import java.util.Collections; +import java.util.Comparator; +import java.util.List; +import java.util.ArrayList; +import java.util.Map; +class QuadGraph { + + boolean verbose=false; + + List cycles = new ArrayList(); + int[][] graph; + + List findBestQuad(List lines, int width, int height, int max_quad_area, int min_quad_area, boolean verbose) { + this.verbose=verbose; + build(lines, width, height); //<>// + findCycles(verbose); + ArrayList bestQuad=new ArrayList(); + float bestQuadArea=0; + for (int [] cy : cycles) { + ArrayList quad= new ArrayList(); + PVector l1 = lines.get(cy[0]); + PVector l2 = lines.get(cy[1]); + PVector l3 = lines.get(cy[2]); + PVector l4 = lines.get(cy[3]); + + + quad.add(intersection(l1, l2)); + quad.add(intersection(l2, l3)); + quad.add(intersection(l3, l4)); + quad.add(intersection(l4, l1)); + quad=sortCorners(quad); + + PVector c1 = quad.get(0); + PVector c2 = quad.get(1); + PVector c3 = quad.get(2); + PVector c4 = quad.get(3); + + if (isConvex(c1, c2, c3, c4) && + nonFlatQuad(c1, c2, c3, c4)) { + float quadArea=validArea(c1, c2, c3, c4, max_quad_area, min_quad_area); + if (quadArea>0 && quadArea>bestQuadArea) { + bestQuadArea=quadArea; + bestQuad=quad; + } + } + } + if (bestQuadArea>0) + return bestQuad; + else + return new ArrayList(); + } + + + void build(List lines, int width, int height) { + + int n = lines.size(); + + // The maximum possible number of edges is n * (n - 1)/2 + graph = new int[n * (n - 1)/2][2]; + + int idx =0; + + for (int i = 0; i < lines.size(); i++) { + for (int j = i + 1; j < lines.size(); j++) { + if (intersect(lines.get(i), lines.get(j), width, height)) { + + graph[idx][0]=i; + graph[idx][1]=j; + idx++; + } + } + } + } + + /** Returns true if polar lines 1 and 2 intersect + * inside an area of size (width, height) + */ + boolean intersect(PVector line1, PVector line2, int width, int height) { + + double sin_t1 = Math.sin(line1.y); + double sin_t2 = Math.sin(line2.y); + double cos_t1 = Math.cos(line1.y); + double cos_t2 = Math.cos(line2.y); + float r1 = line1.x; + float r2 = line2.x; + + double denom = cos_t2 * sin_t1 - cos_t1 * sin_t2; + + int x = (int) ((r2 * sin_t1 - r1 * sin_t2) / denom); + int y = (int) ((-r2 * cos_t1 + r1 * cos_t2) / denom); + + if (0 <= x && 0 <= y && width >= x && height >= y) + return true; + else + return false; + } + + PVector intersection(PVector line1, PVector line2) { + + double sin_t1 = Math.sin(line1.y); + double sin_t2 = Math.sin(line2.y); + double cos_t1 = Math.cos(line1.y); + double cos_t2 = Math.cos(line2.y); + float r1 = line1.x; + float r2 = line2.x; + + double denom = cos_t2 * sin_t1 - cos_t1 * sin_t2; + + int x = (int) ((r2 * sin_t1 - r1 * sin_t2) / denom); + int y = (int) ((-r2 * cos_t1 + r1 * cos_t2) / denom); + + return new PVector(x,y); + } + + void findCycles(boolean verbose) { + cycles.clear(); + for (int i = 0; i < graph.length; i++) { + for (int j = 0; j < graph[i].length; j++) { + findNewCycles(new int[] {graph[i][j]}); + } + } + if (verbose) { + for (int[] cy : cycles) { + String s = "" + cy[0]; + for (int i = 1; i < cy.length; i++) { + s += "," + cy[i]; + } + System.out.println(s); + } + } + } + + void findNewCycles(int[] path) + { + int n = path[0]; + int x; + int[] sub = new int[path.length + 1]; + + for (int i = 0; i < graph.length; i++) + for (int y = 0; y <= 1; y++) + if (graph[i][y] == n) + // edge refers to our current node + { + x = graph[i][(y + 1) % 2]; + if (!visited(x, path)) + // neighbor node not on path yet + { + sub[0] = x; + System.arraycopy(path, 0, sub, 1, path.length); + // explore extended path + findNewCycles(sub); + } else if ((path.length == 4) && (x == path[path.length - 1])) + // cycle found + { + int[] p = normalize(path); + int[] inv = invert(p); + if (isNew(p) && isNew(inv)) + { + cycles.add(p); + } + } + } + } + + // check of both arrays have same lengths and contents + Boolean equals(int[] a, int[] b) + { + Boolean ret = (a[0] == b[0]) && (a.length == b.length); + + for (int i = 1; ret && (i < a.length); i++) + { + if (a[i] != b[i]) + { + ret = false; + } + } + + return ret; + } + + // create a path array with reversed order + int[] invert(int[] path) + { + int[] p = new int[path.length]; + + for (int i = 0; i < path.length; i++) + { + p[i] = path[path.length - 1 - i]; + } + + return normalize(p); + } + + // rotate cycle path such that it begins with the smallest node + int[] normalize(int[] path) + { + int[] p = new int[path.length]; + int x = smallest(path); + int n; + + System.arraycopy(path, 0, p, 0, path.length); + + while (p[0] != x) + { + n = p[0]; + System.arraycopy(p, 1, p, 0, p.length - 1); + p[p.length - 1] = n; + } + + return p; + } + + // compare path against known cycles + // return true, iff path is not a known cycle + Boolean isNew(int[] path) + { + Boolean ret = true; + + for (int[] p : cycles) + { + if (equals(p, path)) + { + ret = false; + break; + } + } + + return ret; + } + + // return the int of the array which is the smallest + int smallest(int[] path) + { + int min = path[0]; + + for (int p : path) + { + if (p < min) + { + min = p; + } + } + + return min; + } + + // check if vertex n is contained in path + Boolean visited(int n, int[] path) + { + Boolean ret = false; + + for (int p : path) + { + if (p == n) + { + ret = true; + break; + } + } + + return ret; + } + + + + /** Check if a quad is convex or not. + * + * Algo: take two adjacent edges and compute their cross-product. + * The sign of the z-component of all the cross-products is the + * same for a convex polygon. + * + * See http://debian.fmi.uni-sofia.bg/~sergei/cgsr/docs/clockwise.htm + * for justification. + * + * @param c1 + */ + boolean isConvex(PVector c1, PVector c2, PVector c3, PVector c4) { + + PVector v21= PVector.sub(c1, c2); + PVector v32= PVector.sub(c2, c3); + PVector v43= PVector.sub(c3, c4); + PVector v14= PVector.sub(c4, c1); + + float i1=v21.cross(v32).z; + float i2=v32.cross(v43).z; + float i3=v43.cross(v14).z; + float i4=v14.cross(v21).z; + + if ( (i1>0 && i2>0 && i3>0 && i4>0) + || (i1<0 && i2<0 && i3<0 && i4<0)) + return true; + else if(verbose) + System.out.println("Eliminating non-convex quad"); + return false; + } + + /** Compute the area of a quad, and check it lays within a specific range + */ + float validArea(PVector c1, PVector c2, PVector c3, PVector c4, float max_area, float min_area) { + + float i1=c1.cross(c2).z; + float i2=c2.cross(c3).z; + float i3=c3.cross(c4).z; + float i4=c4.cross(c1).z; + + float area = Math.abs(0.5f * (i1 + i2 + i3 + i4)); + + + if (area < max_area && area > min_area){ + return area; + } + return 0; + + } + + /** Compute the (cosine) of the four angles of the quad, and check they are all large enough + * (the quad representing our board should be close to a rectangle) + */ + boolean nonFlatQuad(PVector c1, PVector c2, PVector c3, PVector c4) { + + // cos(70deg) ~= 0.3 + float min_cos = 0.5f; + + PVector v21= PVector.sub(c1, c2); + PVector v32= PVector.sub(c2, c3); + PVector v43= PVector.sub(c3, c4); + PVector v14= PVector.sub(c4, c1); + + float cos1=Math.abs(v21.dot(v32) / (v21.mag() * v32.mag())); + float cos2=Math.abs(v32.dot(v43) / (v32.mag() * v43.mag())); + float cos3=Math.abs(v43.dot(v14) / (v43.mag() * v14.mag())); + float cos4=Math.abs(v14.dot(v21) / (v14.mag() * v21.mag())); + + if (cos1 < min_cos && cos2 < min_cos && cos3 < min_cos && cos4 < min_cos) + return true; + else { + if(verbose) + System.out.println("Flat quad"); + return false; + } + } + + + ArrayList sortCorners(ArrayList quad) { + + // 1 - Sort corners so that they are ordered clockwise + PVector a = quad.get(0); + PVector b = quad.get(2); + + PVector center = new PVector((a.x+b.x)/2, (a.y+b.y)/2); + + Collections.sort(quad, new CWComparator(center)); + + + + // 2 - Sort by upper left most corner + PVector origin = new PVector(0, 0); + float distToOrigin = 1000; + + for (PVector p : quad) { + if (p.dist(origin) < distToOrigin) distToOrigin = p.dist(origin); + } + + while (quad.get(0).dist(origin) != distToOrigin) + Collections.rotate(quad, 1); + + return quad; + } +} + +class CWComparator implements Comparator { + + PVector center; + + public CWComparator(PVector center) { + this.center = center; + } + + @Override + public int compare(PVector b, PVector d) { + if (Math.atan2(b.y-center.y, b.x-center.x) boxLength/2) { + velocity.x *= -1; + location.x = boxLength/2 - radius_sphere; + } else if (location.x - radius_sphere < -boxLength/2) { + velocity.x *= -1; + location.x = -boxLength/2 + radius_sphere; + } + + if (location.z + radius_sphere > boxLength/2) { + velocity.z *= -1; + location.z = boxLength/2 - radius_sphere; + } else if (location.z - radius_sphere < -boxLength/2) { + velocity.z *= -1; + location.z = -boxLength/2 + radius_sphere; + } + } + + //############################################# + //-------CHECK COLLISIONS WITH CYLINDERS------- + //############################################# + void checkCylinderCollision() { + for (int i = 0; i < particle_system.particles.size(); ++i) { + PVector cylinderPosition = particle_system.particles.get(i); + PVector ballCylVect = new PVector(location.x - cylinderPosition.x, 0, location.z - cylinderPosition.z); + + if (ballCylVect.mag() <= (radius_sphere + cylinderBaseSize)) { + if (cylinderPosition == particle_system.origin) { + particle_system.particles.clear(); + particle_system.origin = null; + } else { + //remove the cylinder if the ball hits it + particle_system.particles.remove(i); + PVector normal = ballCylVect.normalize(); + float veloNorm = PVector.dot(velocity, normal)*2; + PVector vector = PVector.mult(normal, veloNorm); + velocity = PVector.sub(velocity, vector); + particle_system.points += defaultGain * playable_sphere.velocity.mag();; + } + } + } + } + + PVector location() { + return location.copy(); + } +} diff --git a/TangibleGame.pde b/TangibleGame.pde new file mode 100644 index 0000000..0e4631d --- /dev/null +++ b/TangibleGame.pde @@ -0,0 +1,144 @@ +PGraphics gameSurface; //<>// +PGraphics scoreBoard; +PGraphics topView; +PGraphics barChart; + +Mover playable_sphere; +Cylinder cylinder; +ParticleSystem particle_system; +HScrollbar hs_scroll_bar; + +ImageProcessing imgproc; + +ArrayList cylindersPosition = new ArrayList(); +ArrayList scores = new ArrayList(); + +void settings() { + size(window_size_x, window_size_y, P3D); +} + +void setup() { + + //has to be in the main game process + //********Merge with ImgProcessing******** + imgproc = new ImageProcessing(); + String []args = {"Image processing window"}; + PApplet.runSketch(args, imgproc); + //********Merge with ImgProcessing******** + + + noStroke(); + frameRate(fps); + + playable_sphere = new Mover(); + cylinder = new Cylinder(defaultCylinderColour); + particle_system = new ParticleSystem(); + + gameSurface = createGraphics(width, height - score_graphic, P3D); + scoreBoard = createGraphics(square_for_score, square_for_score, P2D); + topView = createGraphics(square_for_score, square_for_score, P2D); + barChart = createGraphics(width - 2*square_for_score - 20, square_for_score, P2D); + hs_scroll_bar = new HScrollbar(2*score_graphic, height-25, score_graphic*3/4, 15); +} + +void draw() { + + + //has to be in the main game process + //********Merge with ImgProcessing******** + PVector rotation = imgproc.getRotation(); + changeAngleForRotation(rotation); + //********Merge with ImgProcessing******** + + background(bottomColor); + drawGame(); + image(gameSurface, 0, 0); + drawScoreBoard(); + image(scoreBoard, 150, height-score_graphic+5); + drawTopView(); + image(topView, 5, height-score_graphic+5); + drawBarChart(); + image(barChart, 2*square_for_score+10+5, height-score_graphic+5); + hs_scroll_bar.update(); + hs_scroll_bar.display(); +} + + +void changeAngleForRotation(PVector rotation) +{ + if (!shiftPressed) { + thetaX = rotation.x; + thetaZ = rotation.z; + + if (thetaX <= -PI/3) thetaX = -PI/3; + else if (thetaX >= PI/3) thetaX = PI/3; + + if (thetaZ <= -PI/3) thetaZ = -PI/3; + else if (thetaZ >= PI/3) thetaZ = PI/3; + } +} + +void mouseWheel(MouseEvent evenement) { + float e = evenement.getCount(); + if (e < 1 ) { + angularSpeed+=0.1; + } else { + angularSpeed-=0.1; + } + + if (angularSpeed >= 1.5) { + angularSpeed = 1.5; + } else if (angularSpeed <= 0.3) { + angularSpeed = 0.3; + } +} + +void mousePressed() { + if (shiftPressed) { + addCenterOfVillain(); + } +} + +void keyPressed() { + if (key == CODED && keyCode == SHIFT) { + shiftPressed = true; + oldThetaX = thetaX; + oldThetaY = thetaY; + oldThetaZ = thetaZ; + thetaX = -PI/2; + thetaY = 0; + thetaZ = 0; + pauseGame(); + } +} + +void keyReleased() { + if (key == CODED && keyCode == SHIFT ) { + shiftPressed = false; + thetaX = oldThetaX; + thetaY = oldThetaY; + thetaZ = oldThetaZ; + resumeGame(); + } +} + +void pauseGame() { + gamePaused = true; +} + +void resumeGame() { + gamePaused = false; +} + + +//############################################# +// Getters for points & previousPoints variables +//############################################# +float getPoints() { + if (particle_system == null) return 0; + return particle_system.points; +} +float getLastPoints() { + if (particle_system == null) return 0; + return particle_system.previousPoints; +} diff --git a/TwoDThreeD.pde b/TwoDThreeD.pde new file mode 100644 index 0000000..5315841 --- /dev/null +++ b/TwoDThreeD.pde @@ -0,0 +1,355 @@ +import java.util.List; + +import processing.core.PVector; +import org.opencv.core.Mat; +import org.opencv.core.CvType; +import org.opencv.core.Core; + +class TwoDThreeD { + + // default focal length, well suited for most webcams + float f = 700; + + // intrisic camera matrix + float [][] K = {{f, 0, 0}, + {0, f, 0}, + {0, 0, 1}}; + float [][] invK; + PVector invK_r1, invK_r2, invK_r3; + Mat opencv_A, w, u, vt; + double [][] V; + + // Real physical coordinates of the Lego board in mm + //float boardSize = 380.f; // large Duplo board + // float boardSize = 255.f; // smaller Lego board + + // the 3D coordinates of the physical board corners, clockwise + float [][] physicalCorners = { + {-128, 128, 0, 1}, + {128, 128, 0, 1}, + {128, -128, 0, 1}, + {-128, -128, 0, 1} + }; + + //Filtering variables: low-pass filter based on arFilterTrans from ARToolKit v5 */ + float[] q; + float sampleRate; + float cutOffFreq; + float alpha; + + + public TwoDThreeD(int width, int height, float sampleRate) { + + // set the offset to the center of the webcam image + K[0][2] = 0.5f * width; + K[1][2] = 0.5f * height; + //compute inverse of K + Mat opencv_K= new Mat(3, 3, CvType.CV_32F); + opencv_K.put(0, 0, K[0][0]); + opencv_K.put(0, 1, K[0][1]); + opencv_K.put(0, 2, K[0][2]); + opencv_K.put(1, 0, K[1][0]); + opencv_K.put(1, 1, K[1][1]); + opencv_K.put(1, 2, K[1][2]); + opencv_K.put(2, 0, K[2][0]); + opencv_K.put(2, 1, K[2][1]); + opencv_K.put(2, 2, K[2][2]); + Mat opencv_invK=opencv_K.inv(); + + invK = new float[][]{ + { (float)opencv_invK.get(0, 0)[0], (float)opencv_invK.get(0, 1)[0], (float)opencv_invK.get(0, 2)[0] }, + { (float)opencv_invK.get(1, 0)[0], (float)opencv_invK.get(1, 1)[0], (float)opencv_invK.get(1, 2)[0] }, + { (float)opencv_invK.get(2, 0)[0], (float)opencv_invK.get(2, 1)[0], (float)opencv_invK.get(2, 2)[0] }}; + invK_r1=new PVector(invK[0][0], invK[0][1], invK[0][2]); + invK_r2=new PVector(invK[1][0], invK[1][1], invK[1][2]); + invK_r3=new PVector(invK[2][0], invK[2][1], invK[2][2]); + + opencv_A=new Mat(12, 9, CvType.CV_32F); + w=new Mat(); + u=new Mat(); + vt=new Mat(); + V= new double[9][9]; + + q=new float[4]; + q[3]=1; + + this.sampleRate=sampleRate; + if (sampleRate>0) { + cutOffFreq=sampleRate/2; + alpha= (1/sampleRate)/(1/sampleRate + 1/cutOffFreq); + } + } + + PVector get3DRotations(List points2D) { + + // 1- Solve the extrinsic matrix from the projected 2D points + double[][] E = solveExtrinsicMatrix(points2D); + + + // 2 - Re-build a proper 3x3 rotation matrix from the camera's + // extrinsic matrix E + PVector firstColumn=new PVector((float)E[0][0], (float)E[1][0], (float)E[2][0]); + PVector secondColumn=new PVector((float)E[0][1], (float)E[1][1], (float)E[2][1]); + firstColumn.normalize(); + secondColumn.normalize(); + PVector thirdColumn=firstColumn.cross(secondColumn); + float [][] rotationMatrix={{firstColumn.x, secondColumn.x, thirdColumn.x}, + {firstColumn.y, secondColumn.y, thirdColumn.y}, + {firstColumn.z, secondColumn.z, thirdColumn.z}}; + + if (sampleRate>0) + filter(rotationMatrix, false); + + // 3 - Computes and returns Euler angles (rx, ry, rz) from this matrix + return rotationFromMatrix(rotationMatrix); + } + + + double[][] solveExtrinsicMatrix(List points2D) { + + // p ~= K · [R|t] · P + // with P the (3D) corners of the physical board, p the (2D) + // projected points onto the webcam image, K the intrinsic + // matrix and R and t the rotation and translation we want to + // compute. + // + // => We want to solve: (K^(-1) · p) X ([R|t] · P) = 0 + + float[][] projectedCorners = new float[4][3]; + + if(points2D.size() >= 4) + for (int i=0; i<4; i++) { + // TODO: + // store in projectedCorners the result of (K^(-1) · p), for each + // corner p found in the webcam image. + // You can use PVector dot function for computing dot product between K^(-1) lines and p. + //Do not forget to normalize the result + PVector point =points2D.get(i); + projectedCorners[i][0]=point.dot(invK_r1)/point.dot(invK_r3); + projectedCorners[i][1]=point.dot(invK_r2)/point.dot(invK_r3); + projectedCorners[i][2]=1; + } + + // 'A' contains the cross-product (K^(-1) · p) X P + float[][] A= new float[12][9]; + + for (int i=0; i<4; i++) { + A[i*3][0]=0; + A[i*3][1]=0; + A[i*3][2]=0; + + // note that we take physicalCorners[0,1,*3*]: we drop the Z + // coordinate and use the 2D homogenous coordinates of the physical + // corners + A[i*3][3]=-projectedCorners[i][2] * physicalCorners[i][0]; + A[i*3][4]=-projectedCorners[i][2] * physicalCorners[i][1]; + A[i*3][5]=-projectedCorners[i][2] * physicalCorners[i][3]; + + A[i*3][6]= projectedCorners[i][1] * physicalCorners[i][0]; + A[i*3][7]= projectedCorners[i][1] * physicalCorners[i][1]; + A[i*3][8]= projectedCorners[i][1] * physicalCorners[i][3]; + + A[i*3+1][0]= projectedCorners[i][2] * physicalCorners[i][0]; + A[i*3+1][1]= projectedCorners[i][2] * physicalCorners[i][1]; + A[i*3+1][2]= projectedCorners[i][2] * physicalCorners[i][3]; + + A[i*3+1][3]=0; + A[i*3+1][4]=0; + A[i*3+1][5]=0; + + A[i*3+1][6]=-projectedCorners[i][0] * physicalCorners[i][0]; + A[i*3+1][7]=-projectedCorners[i][0] * physicalCorners[i][1]; + A[i*3+1][8]=-projectedCorners[i][0] * physicalCorners[i][3]; + + A[i*3+2][0]=-projectedCorners[i][1] * physicalCorners[i][0]; + A[i*3+2][1]=-projectedCorners[i][1] * physicalCorners[i][1]; + A[i*3+2][2]=-projectedCorners[i][1] * physicalCorners[i][3]; + + A[i*3+2][3]= projectedCorners[i][0] * physicalCorners[i][0]; + A[i*3+2][4]= projectedCorners[i][0] * physicalCorners[i][1]; + A[i*3+2][5]= projectedCorners[i][0] * physicalCorners[i][3]; + + A[i*3+2][6]=0; + A[i*3+2][7]=0; + A[i*3+2][8]=0; + } + + for (int i=0; i<12; i++) + for (int j=0; j<9; j++) + opencv_A.put(i, j, A[i][j]); + + Core.SVDecomp(opencv_A, w, u, vt); + + for (int i=0; i<9; i++) + for (int j=0; j<9; j++) + V[j][i]=vt.get(i, j)[0]; + + double[][] E = new double[3][3]; + + //E is the last column of V + for (int i=0; i<9; i++) { + E[i/3][i%3] = V[i][V.length-1] / V[8][V.length-1]; + } + + return E; + } + + PVector rotationFromMatrix(float[][] mat) { + + // Assuming rotation order is around x,y,z + PVector rot = new PVector(); + + if (mat[1][0] > 0.998) { // singularity at north pole + rot.z = 0; + float delta = (float) Math.atan2(mat[0][1], mat[0][2]); + rot.y = -(float) Math.PI/2; + rot.x = -rot.z + delta; + return rot; + } + + if (mat[1][0] < -0.998) { // singularity at south pole + rot.z = 0; + float delta = (float) Math.atan2(mat[0][1], mat[0][2]); + rot.y = (float) Math.PI/2; + rot.x = rot.z + delta; + return rot; + } + + rot.y =-(float)Math.asin(mat[2][0]); + rot.x = (float)Math.atan2(mat[2][1]/Math.cos(rot.y), mat[2][2]/Math.cos(rot.y)); + rot.z = (float)Math.atan2(mat[1][0]/Math.cos(rot.y), mat[0][0]/Math.cos(rot.y)); + + return rot; + } + + int filter(float m[][], boolean reset) { + + float[] q= new float[4]; + float alpha, oneminusalpha, omega, cosomega, sinomega, s0, s1; + + mat2Quat(m, q); + if (nomalizeQuaternion(q)<0) return -1; + + if (reset) { + this.q[0] = q[0]; + this.q[1] = q[1]; + this.q[2] = q[2]; + this.q[3] = q[3]; + } else { + alpha = this.alpha; + + oneminusalpha = 1.0 - alpha; + + // SLERP for orientation. + cosomega = q[0]*this.q[0] + q[1]*this.q[1] + q[2]*this.q[2] + q[3]*this.q[3]; // cos of angle between vectors. + if (cosomega < 0.0) { + cosomega = -cosomega; + q[0] = -q[0]; + q[1] = -q[1]; + q[2] = -q[2]; + q[3] = -q[3]; + } + if (cosomega > 0.9995) { + s0 = oneminusalpha; + s1 = alpha; + } else { + omega = acos(cosomega); + sinomega = sin(omega); + s0 = sin(oneminusalpha * omega) / sinomega; + s1 = sin(alpha * omega) / sinomega; + } + this.q[0] = q[0]*s1 + this.q[0]*s0; + this.q[1] = q[1]*s1 + this.q[1]*s0; + this.q[2] = q[2]*s1 + this.q[2]*s0; + this.q[3] = q[3]*s1 + this.q[3]*s0; + nomalizeQuaternion(this.q); + } + + if (quat2Mat(this.q, m) < 0) return (-2); + + return (0); + } + + + int nomalizeQuaternion(float[] q) {// Normalise quaternion. + float mag2 = q[0]*q[0] + q[1]*q[1] + q[2]*q[2] + q[3]*q[3]; + if (mag2==0) return (-1); + + float mag = sqrt(mag2); + + q[0] /= mag; + q[1] /= mag; + q[2] /= mag; + q[3] /= mag; + + return (0); + } + + int mat2Quat(float m[][], float q[]) { + float t, s; + t = m[0][0] + m[1][1] + m[2][2] + 1.0; + if (t > 0.0001) { + s = sqrt(t) * 2.0; + q[0] = (m[1][2] - m[2][1]) / s; + q[1] = (m[2][0] - m[0][2]) / s; + q[2] = (m[0][1] - m[1][0]) / s; + q[3] = 0.25 * s; + } else { + if (m[0][0] > m[1][1] && m[0][0] > m[2][2]) { // Column 0: + s = sqrt(1.0 + m[0][0] - m[1][1] - m[2][2]) * 2.0; + q[0] = 0.25 * s; + q[1] = (m[0][1] + m[1][0] ) / s; + q[2] = (m[2][0] + m[0][2] ) / s; + q[3] = (m[1][2] - m[2][1] ) / s; + } else if (m[1][1] > m[2][2]) { // Column 1: + s = sqrt(1.0 + m[1][1] - m[0][0] - m[2][2]) * 2.0; + q[0] = (m[0][1] + m[1][0] ) / s; + q[1] = 0.25 * s; + q[2] = (m[1][2] + m[2][1] ) / s; + q[3] = (m[2][0] - m[0][2] ) / s; + } else { // Column 2: + s = sqrt(1.0 + m[2][2] - m[0][0] - m[1][1]) * 2.0; + q[0] = (m[2][0] + m[0][2] ) / s; + q[1] = (m[1][2] + m[2][1] ) / s; + q[2] = 0.25 * s; + q[3] = (m[0][1] - m[1][0] ) / s; + } + } + return 0; + } + + int quat2Mat( float q[], float m[][] ) + { + float x2, y2, z2; + float xx, xy, xz; + float yy, yz, zz; + float wx, wy, wz; + + x2 = q[0] * 2.0; + y2 = q[1] * 2.0; + z2 = q[2] * 2.0; + + xx = q[0] * x2; + xy = q[0] * y2; + xz = q[0] * z2; + yy = q[1] * y2; + yz = q[1] * z2; + zz = q[2] * z2; + wx = q[3] * x2; + wy = q[3] * y2; + wz = q[3] * z2; + + m[0][0] = 1.0 - (yy + zz); + m[1][1] = 1.0 - (xx + zz); + m[2][2] = 1.0 - (xx + yy); + + m[1][0] = xy - wz; + m[0][1] = xy + wz; + m[2][0] = xz + wy; + m[0][2] = xz - wy; + m[2][1] = yz - wx; + m[1][2] = yz + wx; + + return 0; + } +} diff --git a/data/PoolBall.jpeg b/data/PoolBall.jpeg new file mode 100644 index 0000000..cecccab Binary files /dev/null and b/data/PoolBall.jpeg differ diff --git a/data/board1.jpg b/data/board1.jpg new file mode 100644 index 0000000..8766422 Binary files /dev/null and b/data/board1.jpg differ diff --git a/data/board2.jpg b/data/board2.jpg new file mode 100644 index 0000000..dd326b2 Binary files /dev/null and b/data/board2.jpg differ diff --git a/data/board3.jpg b/data/board3.jpg new file mode 100644 index 0000000..8c1bbd3 Binary files /dev/null and b/data/board3.jpg differ diff --git a/data/board4.jpg b/data/board4.jpg new file mode 100644 index 0000000..34fa5cc Binary files /dev/null and b/data/board4.jpg differ diff --git a/data/nao.jpg b/data/nao.jpg new file mode 100644 index 0000000..1bce331 Binary files /dev/null and b/data/nao.jpg differ diff --git a/data/nao_blob.jpg b/data/nao_blob.jpg new file mode 100644 index 0000000..aa8572f Binary files /dev/null and b/data/nao_blob.jpg differ diff --git a/data/robotnik.mtl b/data/robotnik.mtl new file mode 100644 index 0000000..e1e4394 --- /dev/null +++ b/data/robotnik.mtl @@ -0,0 +1,12 @@ +# File produced by Open Asset Import Library (http://www.assimp.sf.net) +# (assimp v3.1.187496374) + +newmtl _1_-_Default-material +Kd 0.6 0.6 0.6 +Ka 0.588235 0.588235 0.588235 +Ks 0.9 0.9 0.9 +Ke 0 0 0 +Ns 0.43 +illum 2 +map_Kd robotnik.png + diff --git a/data/robotnik.obj b/data/robotnik.obj new file mode 100644 index 0000000..961e3be --- /dev/null +++ b/data/robotnik.obj @@ -0,0 +1,30111 @@ +# File produced by Open Asset Import Library (http://www.assimp.sf.net) 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0.0180566 -0.0177031 +vn -0.00199847 0.0224151 -0.0117784 +vn -0.0127615 0.0192981 -0.0104829 +vn 0.00176842 0.0225007 -0.0116513 +vn 0.00159196 0.0248968 -0.00477242 +vn -0.003265 0.0246406 -0.00522875 +vn -0.00264709 0.0221452 -0.0121549 +vn -1.71222e-05 0.0219016 -0.0128638 +vn 0.0175683 0.0157863 -0.00934379 +vn 0.0170701 0.0186605 -0.00235715 +vn -0.00155118 0.0246277 -0.00601919 +vn 0.0155914 0.0182123 0.00838927 +vn -0.00229373 0.0252885 0.000624105 +vn 0.0104392 0.0181516 0.0143771 +vn -0.000746765 0.0253326 0.00169227 +vn -0.0010136 0.0248672 -0.00507482 +vn -0.0113411 0.0221619 -0.00503896 +vn -0.0221026 0.0121263 -0.0030962 +vn -0.0252 -0.00306851 0.000839803 + +# Mesh 'Eggman_Eggman' with 12194 faces +g Eggman_Eggman +usemtl _1_-_Default-material +f 1/1/1 2/2/2 3/3/3 +f 4/4/4 2/2/2 1/1/1 +f 5/5/5 4/4/4 1/1/1 +f 5/5/5 6/6/6 4/4/4 +f 7/7/7 8/8/8 4/4/4 +f 9/9/9 6/6/6 5/5/5 +f 10/10/10 9/9/9 5/5/5 +f 6/6/6 9/9/9 11/11/11 +f 7/12/7 6/6/6 11/11/11 +f 12/13/12 13/14/13 9/9/9 +f 10/10/10 12/13/12 9/9/9 +f 14/15/14 15/3/15 16/2/16 +f 17/1/17 15/3/15 14/15/14 +f 18/6/18 17/1/17 14/15/14 +f 18/6/18 14/15/14 19/16/19 +f 20/5/20 17/1/17 18/6/18 +f 21/9/21 20/5/20 18/6/18 +f 18/6/18 22/17/22 21/9/21 +f 23/10/23 20/5/20 21/9/21 +f 23/10/23 21/9/21 24/14/24 +f 22/17/22 25/11/25 21/9/21 +f 26/13/26 23/10/23 24/14/24 +f 27/4/27 3/3/3 2/2/2 +f 28/1/28 3/3/3 27/4/27 +f 29/6/29 28/1/28 27/4/27 +f 29/6/29 27/4/27 30/8/30 +f 31/5/31 28/1/28 29/6/29 +f 32/9/32 31/5/31 29/6/29 +f 29/6/29 33/12/33 32/9/32 +f 34/10/34 31/5/31 32/9/32 +f 34/10/34 32/9/32 35/14/35 +f 33/12/33 36/11/36 32/9/32 +f 37/13/37 34/10/34 35/14/35 +f 38/1/38 16/2/16 15/3/15 +f 39/15/39 16/2/16 38/1/38 +f 40/5/40 39/15/39 38/1/38 +f 40/5/40 41/6/41 39/15/39 +f 42/18/42 43/16/43 39/15/39 +f 44/9/44 41/6/41 40/5/40 +f 45/10/45 44/9/44 40/5/40 +f 41/6/41 44/9/44 46/11/46 +f 42/17/42 41/6/41 46/11/46 +f 47/13/47 48/14/48 44/9/44 +f 45/10/45 47/13/47 44/9/44 +f 49/1/49 50/19/50 51/3/51 +f 19/20/19 50/19/50 49/1/49 +f 52/5/52 19/20/19 49/1/49 +f 14/21/14 16/22/16 50/19/50 +f 19/20/19 14/21/14 50/19/50 +f 52/5/52 22/23/22 19/20/19 +f 25/24/25 22/23/22 52/5/52 +f 53/10/53 25/24/25 52/5/52 +f 54/25/54 25/24/25 53/10/53 +f 25/24/25 54/25/54 24/26/24 +f 21/27/21 25/24/25 24/26/24 +f 26/13/26 54/25/54 53/10/53 +f 26/13/26 24/14/24 54/25/54 +f 51/3/51 50/19/50 43/20/43 +f 55/1/55 51/3/51 43/20/43 +f 43/20/43 50/19/50 16/22/16 +f 55/1/55 43/20/43 42/23/42 +f 39/21/39 43/20/43 16/22/16 +f 56/5/56 55/1/55 42/23/42 +f 56/5/56 42/23/42 46/24/46 +f 57/10/57 56/5/56 46/24/46 +f 57/10/57 46/24/46 58/25/58 +f 46/24/46 44/27/44 58/25/58 +f 57/10/57 58/25/58 48/14/48 +f 47/13/47 57/10/57 48/14/48 +f 44/27/44 48/26/48 58/25/58 +f 22/18/22 18/6/18 19/16/19 +f 41/6/41 42/18/42 39/15/39 +f 59/3/59 60/19/60 8/28/8 +f 61/1/61 59/3/59 8/28/8 +f 8/28/8 60/19/60 2/29/2 +f 61/1/61 8/28/8 7/30/7 +f 4/31/4 8/28/8 2/29/2 +f 62/5/62 61/1/61 7/30/7 +f 62/5/62 7/30/7 11/32/11 +f 63/10/63 62/5/62 11/32/11 +f 63/10/63 11/32/11 64/33/64 +f 11/32/11 9/34/9 64/33/64 +f 63/10/63 64/33/64 13/14/13 +f 12/13/12 63/10/63 13/14/13 +f 9/34/9 13/35/13 64/33/64 +f 65/1/65 60/19/60 59/3/59 +f 30/28/30 60/19/60 65/1/65 +f 66/5/66 30/28/30 65/1/65 +f 27/31/27 2/29/2 60/19/60 +f 30/28/30 27/31/27 60/19/60 +f 66/5/66 33/30/33 30/28/30 +f 36/32/36 33/30/33 66/5/66 +f 67/10/67 36/32/36 66/5/66 +f 68/33/68 36/32/36 67/10/67 +f 36/32/36 68/33/68 35/35/35 +f 32/34/32 36/32/36 35/35/35 +f 37/13/37 68/33/68 67/10/67 +f 37/13/37 35/14/35 68/33/68 +f 6/6/6 7/7/7 4/4/4 +f 33/7/33 29/6/29 30/8/30 +f 69/36/69 70/37/70 71/38/71 +f 72/39/72 69/36/69 71/38/71 +f 73/40/73 70/37/70 69/36/69 +f 74/41/74 73/40/73 69/36/69 +f 74/41/74 69/36/69 72/39/72 +f 73/40/73 75/42/75 70/37/70 +f 76/43/76 75/42/75 73/40/73 +f 74/41/74 76/43/76 73/40/73 +f 76/43/76 77/44/77 75/42/75 +f 76/43/76 78/45/78 77/44/77 +f 74/41/74 78/45/78 76/43/76 +f 78/45/78 79/46/79 77/44/77 +f 78/45/78 80/47/80 79/46/79 +f 74/41/74 80/47/80 78/45/78 +f 80/47/80 81/48/81 79/46/79 +f 80/47/80 82/49/82 81/48/81 +f 74/41/74 82/49/82 80/47/80 +f 82/49/82 83/50/83 81/48/81 +f 82/49/82 84/51/84 83/50/83 +f 74/41/74 84/51/84 82/49/82 +f 84/51/84 85/52/85 83/50/83 +f 84/51/84 72/39/72 85/52/85 +f 74/41/74 72/39/72 84/51/84 +f 72/39/72 71/38/71 85/52/85 +f 86/36/86 87/38/87 88/37/88 +f 89/39/89 87/38/87 86/36/86 +f 90/40/90 86/36/86 88/37/88 +f 91/53/91 86/36/86 90/40/90 +f 91/53/91 89/39/89 86/36/86 +f 89/39/89 92/52/92 87/38/87 +f 93/51/93 92/52/92 89/39/89 +f 91/53/91 93/51/93 89/39/89 +f 93/51/93 94/50/94 92/52/92 +f 95/49/95 94/50/94 93/51/93 +f 91/53/91 95/49/95 93/51/93 +f 95/49/95 96/48/96 94/50/94 +f 97/47/97 96/48/96 95/49/95 +f 91/53/91 97/47/97 95/49/95 +f 97/47/97 98/46/98 96/48/96 +f 99/45/99 98/46/98 97/47/97 +f 91/53/91 99/45/99 97/47/97 +f 99/45/99 100/44/100 98/46/98 +f 101/43/101 100/44/100 99/45/99 +f 91/53/91 101/43/101 99/45/99 +f 101/43/101 102/42/102 100/44/100 +f 90/40/90 102/42/102 101/43/101 +f 91/53/91 90/40/90 101/43/101 +f 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186/124/186 +f 185/123/185 182/120/182 186/124/186 +f 185/123/185 187/125/187 184/122/184 +f 188/126/188 187/125/187 185/123/185 +f 189/127/189 185/123/185 186/124/186 +f 189/127/189 188/126/188 185/123/185 +f 187/125/187 172/110/172 184/122/184 +f 187/125/187 171/109/171 172/110/172 +f 172/110/172 171/109/171 166/104/166 +f 189/127/189 186/124/186 190/128/190 +f 191/129/191 189/127/189 190/128/190 +f 192/130/192 189/127/189 191/129/191 +f 190/128/190 193/131/193 194/132/194 +f 190/128/190 186/124/186 193/131/193 +f 195/133/195 190/128/190 194/132/194 +f 193/131/193 196/134/196 197/135/197 +f 193/131/193 186/124/186 196/134/196 +f 194/132/194 193/131/193 197/135/197 +f 194/132/194 197/135/197 198/136/198 +f 194/132/194 198/136/198 199/137/199 +f 197/135/197 200/138/200 198/136/198 +f 197/135/197 196/134/196 200/138/200 +f 198/136/198 201/139/201 202/140/202 +f 198/136/198 202/140/202 203/141/203 +f 200/138/200 201/139/201 198/136/198 +f 199/137/199 198/136/198 203/141/203 +f 196/134/196 204/142/204 200/138/200 +f 204/142/204 205/143/205 206/144/206 +f 196/134/196 205/143/205 204/142/204 +f 205/143/205 207/145/207 208/146/208 +f 206/144/206 205/143/205 208/146/208 +f 196/134/196 207/145/207 205/143/205 +f 206/144/206 208/146/208 209/147/209 +f 181/119/181 210/148/210 208/146/208 +f 211/149/211 208/146/208 210/148/210 +f 207/145/207 181/119/181 208/146/208 +f 209/147/209 208/146/208 211/149/211 +f 186/124/186 181/119/181 207/145/207 +f 186/124/186 207/145/207 196/134/196 +f 181/119/181 212/150/212 210/148/210 +f 210/148/210 213/151/213 214/152/214 +f 210/148/210 212/150/212 213/151/213 +f 211/149/211 210/148/210 214/152/214 +f 212/150/212 215/153/215 213/151/213 +f 213/151/213 216/154/216 217/155/217 +f 213/151/213 215/153/215 216/154/216 +f 214/152/214 213/151/213 217/155/217 +f 217/155/217 216/154/216 218/156/218 +f 203/141/203 202/140/202 219/157/219 +f 203/141/203 219/157/219 220/158/220 +f 221/159/221 203/141/203 220/158/220 +f 199/137/199 203/141/203 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