From 9877eb16fdbc9cd039e200eef1469040e0e8fc7e Mon Sep 17 00:00:00 2001 From: charlesbvll Date: Thu, 8 Oct 2020 20:15:00 +0200 Subject: [PATCH] First commit --- BlobDetection.pde | 127 + Cylinder.pde | 70 + DrawMethods.pde | 140 + GameSettings.pde | 54 + HScrollbar.pde | 110 + HoughComparator.pde | 14 + ImageProcessing.pde | 384 + ParticleSystem.pde | 146 + QuadGraph.pde | 385 + Sphere.pde | 116 + TangibleGame.pde | 144 + TwoDThreeD.pde | 355 + data/PoolBall.jpeg | Bin 0 -> 1746626 bytes data/board1.jpg | Bin 0 -> 106081 bytes data/board2.jpg | Bin 0 -> 110410 bytes data/board3.jpg | Bin 0 -> 110647 bytes data/board4.jpg | Bin 0 -> 123247 bytes data/nao.jpg | Bin 0 -> 394192 bytes data/nao_blob.jpg | Bin 0 -> 1999018 bytes data/robotnik.mtl | 12 + data/robotnik.obj | 30111 ++++++++++++++++++++++++++++++++++++++++++ data/robotnik.png | Bin 0 -> 112766 bytes data/testvideo.avi | Bin 0 -> 6277450 bytes 23 files changed, 32168 insertions(+) create mode 100644 BlobDetection.pde create mode 100644 Cylinder.pde create mode 100644 DrawMethods.pde create mode 100644 GameSettings.pde create mode 100644 HScrollbar.pde create mode 100644 HoughComparator.pde create mode 100644 ImageProcessing.pde create mode 100644 ParticleSystem.pde create mode 100644 QuadGraph.pde create mode 100644 Sphere.pde create mode 100644 TangibleGame.pde create mode 100644 TwoDThreeD.pde create mode 100644 data/PoolBall.jpeg create mode 100644 data/board1.jpg create mode 100644 data/board2.jpg create mode 100644 data/board3.jpg create mode 100644 data/board4.jpg create mode 100644 data/nao.jpg create mode 100644 data/nao_blob.jpg create mode 100644 data/robotnik.mtl create mode 100644 data/robotnik.obj create mode 100644 data/robotnik.png create mode 100644 data/testvideo.avi 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 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116/54/116 +f 122/60/122 116/54/116 119/57/119 +f 123/61/123 118/55/118 117/56/117 +f 124/62/124 123/61/123 117/56/117 +f 124/62/124 117/56/117 120/58/120 +f 125/63/125 124/62/124 120/58/120 +f 126/64/126 125/63/125 120/58/120 +f 126/64/126 120/58/120 121/59/121 +f 122/60/122 126/64/126 121/59/121 +f 127/65/127 126/64/126 122/60/122 +f 127/65/127 125/63/125 126/64/126 +f 128/66/128 124/62/124 125/63/125 +f 127/65/127 128/66/128 125/63/125 +f 128/66/128 123/61/123 124/62/124 +f 129/67/129 130/68/130 131/69/131 +f 132/70/132 131/69/131 130/68/130 +f 133/71/133 132/70/132 130/68/130 +f 134/72/134 132/70/132 133/71/133 +f 135/73/135 134/72/134 133/71/133 +f 136/74/136 134/72/134 135/73/135 +f 136/74/136 135/73/135 137/75/137 +f 138/76/138 136/74/136 137/75/137 +f 139/77/139 136/74/136 138/76/138 +f 138/76/138 140/78/140 141/79/141 +f 142/80/142 138/76/138 141/79/141 +f 143/81/143 138/76/138 142/80/142 +f 143/81/143 139/77/139 138/76/138 +f 140/78/140 144/82/144 145/83/145 +f 140/78/140 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