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Andrew Lawson authored and Andrew Lawson committed Dec 11, 2014
1 parent 6e0c0b2 commit 7a97642
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4 changes: 3 additions & 1 deletion README.md
@@ -1,6 +1,8 @@
geometric_separators Geometric Separators
==================== ====================


![alt tag](http://imgur.com/e5PkQ4a)

Geometric separators project for CSE 4095 (Computational Geometry). Geometric separators project for CSE 4095 (Computational Geometry).


About: About:
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73 changes: 36 additions & 37 deletions geometric_separators.pde
Expand Up @@ -57,6 +57,10 @@ void mousePressed() {
// If mouse presses calculate button // If mouse presses calculate button
else if ((mouseX >= calc_x && mouseX <= (calc_x + calc_w)) && else if ((mouseX >= calc_x && mouseX <= (calc_x + calc_w)) &&
(mouseY >= calc_y && mouseY <= (calc_y + calc_h))) { (mouseY >= calc_y && mouseY <= (calc_y + calc_h))) {
if (rawInput.size() == 0) {
System.out.println("You don't have any input points!");
return;
}
CenterAndSphere returnVals = getSeparator(rawInput); CenterAndSphere returnVals = getSeparator(rawInput);
sphere = returnVals.sphere; sphere = returnVals.sphere;
centerPoint = returnVals.center; centerPoint = returnVals.center;
Expand Down Expand Up @@ -89,7 +93,6 @@ PVector inTetrahedron(ArrayList<PVector> points) {
PVector testPoint = pointsCopy.get(i); PVector testPoint = pointsCopy.get(i);
pointsCopy.remove(i); pointsCopy.remove(i);
// Test if every determinant has the same sign // Test if every determinant has the same sign
System.out.println(pointsCopy.size());
RealMatrix d0Matrix = getDetMatrix(pointsCopy.get(0), pointsCopy.get(1), pointsCopy.get(2), pointsCopy.get(3)); RealMatrix d0Matrix = getDetMatrix(pointsCopy.get(0), pointsCopy.get(1), pointsCopy.get(2), pointsCopy.get(3));
RealMatrix d1Matrix = getDetMatrix(testPoint, pointsCopy.get(1), pointsCopy.get(2), pointsCopy.get(3)); RealMatrix d1Matrix = getDetMatrix(testPoint, pointsCopy.get(1), pointsCopy.get(2), pointsCopy.get(3));
RealMatrix d2Matrix = getDetMatrix(pointsCopy.get(0), testPoint, pointsCopy.get(2), pointsCopy.get(3)); RealMatrix d2Matrix = getDetMatrix(pointsCopy.get(0), testPoint, pointsCopy.get(2), pointsCopy.get(3));
Expand Down Expand Up @@ -228,7 +231,6 @@ boolean areSameSign(ArrayList<Double> detList) {
negDet++; negDet++;
} }
} }
System.out.println("negDet" + Integer.toString(negDet));
if (negDet == 0 || negDet == detList.size()) { if (negDet == 0 || negDet == detList.size()) {
return true; return true;
} }
Expand Down Expand Up @@ -266,8 +268,14 @@ CenterAndSphere getSeparator(ArrayList<PVector> input) {


// Get radius for our separator // Get radius for our separator
float getRadius(PVector centerPoint, PVector unitVector) { float getRadius(PVector centerPoint, PVector unitVector) {
System.out.println("Centerpoint");
System.out.println(centerPoint);
System.out.println("Centerpoint2D");
PVector centerPoint2D = new PVector(centerPoint.x, centerPoint.y); PVector centerPoint2D = new PVector(centerPoint.x, centerPoint.y);
System.out.println(centerPoint2D);
System.out.println("Numerator.");
float numerator = (float)Math.sqrt(Math.abs(centerPoint.z - Math.pow(centerPoint2D.mag(), 2))); float numerator = (float)Math.sqrt(Math.abs(centerPoint.z - Math.pow(centerPoint2D.mag(), 2)));
System.out.println(numerator);
return numerator / Math.abs(unitVector.z); return numerator / Math.abs(unitVector.z);
} }


Expand All @@ -277,7 +285,7 @@ float[] getSphereAttr(PVector centerPoint, PVector unitVector, float radius) {
centerPoint.sub(unitVector); centerPoint.sub(unitVector);
sphereCenter = new PVector(centerPoint.x, centerPoint.y, centerPoint.z); sphereCenter = new PVector(centerPoint.x, centerPoint.y, centerPoint.z);
sphereRadius = radius; sphereRadius = radius;
float[] attributes = {centerPoint.x, centerPoint.y, radius, radius}; float[] attributes = {centerPoint.x, centerPoint.y, 2 * radius, 2 * radius};
return attributes; return attributes;
} }


Expand Down Expand Up @@ -308,42 +316,33 @@ ArrayList<ArrayList<PVector>> samplePoints(ArrayList<PVector> input) {


// Approximate the centerpoint // Approximate the centerpoint
PVector approxCenterpoint(ArrayList<PVector> input) { PVector approxCenterpoint(ArrayList<PVector> input) {
if (input.size() == 0) { while (input.size() > 1) {
System.out.println("You don't have any input points!"); ArrayList<ArrayList<PVector>> setList = samplePoints(input);
return null; ArrayList<PVector> radonList = new ArrayList<PVector>();
} for (ArrayList<PVector> list : setList) {
else { PVector radonPoint = getRadonPoint(list);
while (input.size() > 1) { radonList.add(radonPoint);
ArrayList<ArrayList<PVector>> setList = samplePoints(input);
ArrayList<PVector> radonList = new ArrayList<PVector>();
for (ArrayList<PVector> list : setList) {
System.out.println(list.size());
PVector radonPoint = getRadonPoint(list);
radonList.add(radonPoint);
}
input = radonList;
} }
return input.get(0); input = radonList;
} }
return input.get(0);
} }


// Draw // Draw
void draw() { void draw() {
background(255); background(255);
// Draw separator sphere projected to 2D
if (sphere != null) {
strokeWeight(8);
stroke(255);
shape(sphere);
}
// Draw center point // Draw center point
if (centerPoint != null) { if (centerPoint != null) {
stroke(255, 0, 0); stroke(255, 0, 0);
strokeWeight(6); strokeWeight(8);
point(centerPoint.x, centerPoint.y); point(centerPoint.x, centerPoint.y);
stroke(0); stroke(0);
System.out.println("x-coordinate: " + Float.toString(centerPoint.x));
System.out.println("y-coordinate: " + Float.toString(centerPoint.y));
}
// Draw separator sphere projected to 2D
if (sphere != null) {
strokeWeight(6);
ellipseMode(RADIUS);
shape(sphere);
} }
shape(reset); shape(reset);
shape(calculate); shape(calculate);
Expand All @@ -356,21 +355,21 @@ void draw() {
// Draw input // Draw input
for (PVector point : rawInput) { for (PVector point : rawInput) {
strokeWeight(8); strokeWeight(8);
stroke(0);
if (sphereCenter != null) { if (sphereCenter != null) {
stroke(0, 0, 255); float dx = Math.abs(point.x - (sphereCenter.x + sphereRadius));
point(sphereCenter.x, sphereCenter.y); float dy = Math.abs(point.y - (sphereCenter.y + sphereRadius));
stroke(0); if (Math.pow(dx, 2) + Math.pow(dy, 2) <= Math.pow(sphereRadius, 2)) {
if (point.x >= sphereCenter.x - sphereRadius && point.x <= sphereCenter.x + sphereRadius) { stroke(0, 255, 0);
if (point.y >= sphereCenter.y - sphereRadius && point.y <= sphereCenter.y + sphereRadius) { point(point.x, point.y);
stroke(0, 255, 0); }
} else {
stroke(0);
point(point.x, point.y);
} }
point(point.x, point.y);
} }
else { else {
stroke(0);
point(point.x, point.y); point(point.x, point.y);
strokeWeight(2);
} }
} }
} }

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