import edu.berkeley.qfat.geom.*;
import edu.berkeley.qfat.geom.Point;
+// TO DO:
+// - real anneal
+// - solve self-intersection problem
+// - get a better test model?
+// - symmetry constraints withing the tile
+// - rotation matrices
+// - overbinding results in forced equational constraints on the leader
+// - shatter in invertd-triforce pattern brian mentioned
+// - aspect ratio? non-uniform deformation?
+// - rotational alignment
+
+// - movie-style user interface like
+// http://www.coleran.com/markcoleranreell.html ?
+
+// - consider recasting the Shewchuk predicates in Java?
+// http://www.cs.cmu.edu/afs/cs/project/quake/public/code/predicates.c
+
+/*
+ blender keys
+ - middle mouse = option+click
+ - right mouse = command+click
+
+ 3,7,1 = view along axes (control for opp direction)
+ 4, 8, 7, 2 = rotate in discrete increments (+control to translate)
+ middle trag: rotate space
+ shift+middle drag: translate space
+ wheel: zoom
+ home: home view: take current angle, zoom to whole scnee
+ 5 = ortho vs non-ortho
+
+*/
+
+
// FIXME: re-orient goal (how?)
public class Main extends MeshViewer {
+ public static int verts = 1;
+
public static final Random random = new Random();
/** magnification factor */
Point p1 = new Point(stlf.coordArray[i+1].x * MAG, stlf.coordArray[i+1].y * MAG, stlf.coordArray[i+1].z * MAG);
Point p2 = new Point(stlf.coordArray[i+2].x * MAG, stlf.coordArray[i+2].y * MAG, stlf.coordArray[i+2].z * MAG);
Vec n = new Vec(stlf.normArray[i/3].x * MAG, stlf.normArray[i/3].y * MAG, stlf.normArray[i/3].z * MAG);
- Mesh.T t = goal.newT(p0, p1, p2, n);
+ Mesh.T t = goal.newT(p0, p1, p2, n, 0);
}
// rotate to align major axis -- this probably needs to be done by a human.
- goal.transform(new Matrix(new Vec(0, 0, 1), (float)(Math.PI/2)));
+ goal.transform(Matrix.rotate(new Vec(0, 0, 1), (float)(Math.PI/2)));
float goal_width = goal.diagonal().dot(new Vec(1, 0, 0));
float goal_height = goal.diagonal().dot(new Vec(0, 1, 0));
float goal_depth = goal.diagonal().dot(new Vec(0, 0, 1));
- float width = (float)0.6;
- float height = (float)0.08;
- float depth = (float)0.3;
+ /*
+ float width = (float)0.6;
+ float height = (float)0.08;
+ float depth = (float)0.3;
+ */
+ float width = (float)0.7;
+ float depth = (float)0.08;
+ float height = (float)0.4;
+
+ float rshift = width/2;
+ float lshift = -(width/2);
+
+ //float halfup = height/2;
+ float halfup = 0;
+
translations = new Matrix[] {
- new Matrix(new Vec(-(width/2), height, 0)),
- new Matrix(new Vec( (width/2), height, 0)),
- new Matrix(new Vec(-(width/2), -height, 0)),
- new Matrix(new Vec( (width/2), -height, 0)),
- new Matrix(new Vec(-(width/2), 0, depth)),
- new Matrix(new Vec( (width/2), 0, depth)),
- new Matrix(new Vec(-(width/2), 0, -depth)),
- new Matrix(new Vec( (width/2), 0, -depth)),
-
- new Matrix(new Vec( width, 0, 0)),
- new Matrix(new Vec(-width, 0, 0)),
+ Matrix.translate(new Vec(lshift, depth, halfup)),
+ Matrix.translate(new Vec(rshift, depth, halfup)),
+ Matrix.translate(new Vec(lshift, -depth, halfup)),
+ Matrix.translate(new Vec(rshift, -depth, halfup)),
+
/*
- new Matrix(new Vec( 0, 0, depth)),
- new Matrix(new Vec( 0, 0, -depth)),
+ Matrix.translate(new Vec(0, depth, halfup)),
+ Matrix.translate(new Vec(0, -depth, halfup)),
*/
+
+ Matrix.translate(new Vec(lshift, 0, height)),
+ Matrix.translate(new Vec(rshift, 0, height)),
+ Matrix.translate(new Vec(lshift, 0, -height)),
+ Matrix.translate(new Vec(rshift, 0, -height)),
+
+
+ Matrix.translate(new Vec( width, 0, 0)),
+ Matrix.translate(new Vec(-width, 0, 0)),
+
};
+ //
+
+
+
+ Point ltf = new Point(lshift, (depth/2), (height/2));
+ Point mtf = new Point( 0.0, (depth/2), (height/2));
+ Point rtf = new Point(rshift, (depth/2), (height/2));
+ Point lbf = new Point(lshift, -(depth/2), (height/2));
+ Point mbf = new Point( 0.0, -(depth/2), (height/2));
+ Point rbf = new Point(rshift, -(depth/2), (height/2));
+
+ Point ltc = new Point(lshift, (depth/2), 0);
+ Point mtc = new Point( 0.0, (depth/2), 0);
+ Point rtc = new Point(rshift, (depth/2), 0);
+ Point lbc = new Point(lshift, -(depth/2), 0);
+ Point mbc = new Point( 0.0, -(depth/2), 0);
+ Point rbc = new Point(rshift, -(depth/2), 0);
+
+ Point ltn = new Point(lshift, (depth/2), -(height/2));
+ Point mtn = new Point( 0.0, (depth/2), -(height/2));
+ Point rtn = new Point(rshift, (depth/2), -(height/2));
+ Point lbn = new Point(lshift, -(depth/2), -(height/2));
+ Point mbn = new Point( 0.0, -(depth/2), -(height/2));
+ Point rbn = new Point(rshift, -(depth/2), -(height/2));
- Point ltf = new Point(-(width/2), (height/2), (depth/2));
- Point mtf = new Point( 0.0, (height/2), (depth/2));
- Point rtf = new Point( (width/2), (height/2), (depth/2));
- Point ltn = new Point(-(width/2), (height/2), -(depth/2));
- Point mtn = new Point( 0.0, (height/2), -(depth/2));
- Point rtn = new Point( (width/2), (height/2), -(depth/2));
- Point lbf = new Point(-(width/2), -(height/2), (depth/2));
- Point mbf = new Point( 0.0, -(height/2), (depth/2));
- Point rbf = new Point( (width/2), -(height/2), (depth/2));
- Point lbn = new Point(-(width/2), -(height/2), -(depth/2));
- Point mbn = new Point( 0.0, -(height/2), -(depth/2));
- Point rbn = new Point( (width/2), -(height/2), -(depth/2));
Point[] points = new Point[] {
ltf,
mtf,
rtf,
- ltn,
- mtn,
- rtn,
lbf,
mbf,
rbf,
+
+ ltc,
+ mtc,
+ rtc,
+ lbc,
+ mbc,
+ rbc,
+
+ ltn,
+ mtn,
+ rtn,
lbn,
mbn,
rbn
// top
- tile.newT(ltf, mtf, mtn, null);
- tile.newT(mtn, ltn, ltf, null);
- tile.newT(mtf, rtf, rtn, null);
- tile.newT(rtn, mtn, mtf, null);
+ tile.newT(ltf, mtf, mtc, null, 1);
+ tile.newT(mtc, ltc, ltf, null, 1);
+ tile.newT(mtf, rtf, rtc, null, 1);
+ tile.newT(rtc, mtc, mtf, null, 1);
+
+ tile.newT(ltc, mtc, mtn, null, 1);
+ tile.newT(mtn, ltn, ltc, null, 1);
+ tile.newT(mtc, rtc, rtn, null, 1);
+ tile.newT(rtn, mtn, mtc, null, 1);
// bottom (swap normals)
- tile.newT(mbf, lbf, mbn, null);
- tile.newT(lbn, mbn, lbf, null);
- tile.newT(rbf, mbf, rbn, null);
- tile.newT(mbn, rbn, mbf, null);
-
+ tile.newT(mbf, lbf, mbc, null, 2);
+ tile.newT(lbc, mbc, lbf, null, 2);
+ tile.newT(rbf, mbf, rbc, null, 2);
+ tile.newT(mbc, rbc, mbf, null, 2);
+
+ tile.newT(mbc, lbc, mbn, null, 2);
+ tile.newT(lbn, mbn, lbc, null, 2);
+
+ tile.newT(rbc, mbc, rbn, null, 2);
+ tile.newT(mbn, rbn, mbc, null, 2);
+
+
// left
- tile.newT(ltf, ltn, lbn, null);
- tile.newT(lbn, lbf, ltf, null);
+ tile.newT(ltf, ltc, lbc, null, 3);
+ tile.newT(lbc, lbf, ltf, null, 3);
+ tile.newT(ltc, ltn, lbn, null, 3);
+ tile.newT(lbn, lbc, ltc, null, 3);
// right (swap normals)
- tile.newT(rtn, rtf, rbn, null);
- tile.newT(rbf, rbn, rtf, null);
+ tile.newT(rtc, rtf, rbc, null, 4);
+ tile.newT(rbf, rbc, rtf, null, 4);
+ tile.newT(rtn, rtc, rbn, null, 4);
+ tile.newT(rbc, rbn, rtc, null, 4);
// front
- tile.newT(ltn, mtn, mbn, null);
- tile.newT(ltn, mbn, lbn, null);
- tile.newT(mtn, rtn, rbn, null);
- tile.newT(mtn, rbn, mbn, null);
+ tile.newT(ltn, mtn, mbn, null, 5);
+ tile.newT(ltn, mbn, lbn, null, 5);
+ tile.newT(mtn, rtn, rbn, null, 5);
+ tile.newT(mtn, rbn, mbn, null, 5);
// back
- tile.newT(mtf, ltf, mbf, null);
- tile.newT(mbf, ltf, lbf, null);
- tile.newT(rtf, mtf, rbf, null);
- tile.newT(rbf, mtf, mbf, null);
+ tile.newT(mtf, ltf, mbf, null, 6);
+ tile.newT(mbf, ltf, lbf, null, 6);
+ tile.newT(rtf, mtf, rbf, null, 6);
+ tile.newT(rbf, mtf, mbf, null, 6);
for(Matrix m : translations) {
for(Mesh.T t1 : tile) {
if ((t1.v1().p.times(m).minus(t2.v1().p).mag() < Mesh.EPSILON) &&
(t1.v2().p.times(m).minus(t2.v3().p).mag() < Mesh.EPSILON) &&
(t1.v3().p.times(m).minus(t2.v2().p).mag() < Mesh.EPSILON)) {
- t1.e1().bind(t2.e3().pair);
- t1.e2().bind(t2.e2().pair);
- t1.e3().bind(t2.e1().pair);
+ t1.e1().bindEdge(t2.e3());
+ t1.e2().bindEdge(t2.e2());
+ t1.e3().bindEdge(t2.e1());
}
if ((t1.v2().p.times(m).minus(t2.v1().p).mag() < Mesh.EPSILON) &&
(t1.v3().p.times(m).minus(t2.v3().p).mag() < Mesh.EPSILON) &&
(t1.v1().p.times(m).minus(t2.v2().p).mag() < Mesh.EPSILON)) {
- t1.e2().bind(t2.e3().pair);
- t1.e3().bind(t2.e2().pair);
- t1.e1().bind(t2.e1().pair);
+ t1.e2().bindEdge(t2.e3());
+ t1.e3().bindEdge(t2.e2());
+ t1.e1().bindEdge(t2.e1());
}
if ((t1.v3().p.times(m).minus(t2.v1().p).mag() < Mesh.EPSILON) &&
(t1.v1().p.times(m).minus(t2.v3().p).mag() < Mesh.EPSILON) &&
(t1.v2().p.times(m).minus(t2.v2().p).mag() < Mesh.EPSILON)) {
- t1.e3().bind(t2.e3().pair);
- t1.e1().bind(t2.e2().pair);
- t1.e2().bind(t2.e1().pair);
+ t1.e3().bindEdge(t2.e3());
+ t1.e1().bindEdge(t2.e2());
+ t1.e2().bindEdge(t2.e1());
}
+
}
}
}
- //xMesh.Vert mid = lbf.getE(mbn).shatter();
+ //xMesh.Vertex mid = lbf.getE(mbn).shatter();
// rescale to match volume
float factor = (float)Math.pow(tile.volume() / goal.volume(), 1.0/3.0);
- goal.transform(new Matrix(factor));
+ goal.transform(Matrix.scale(factor));
// translate to match centroid
- goal.transform(new Matrix(tile.centroid().minus(goal.centroid())));
+ goal.transform(Matrix.translate(tile.centroid().minus(goal.centroid())));
+ goal.makeVerticesImmutable();
//tx.e2.shatter();
//tx.e3.shatter();
System.out.println("tile volume: " + tile.volume());
System.out.println("goal volume: " + goal.volume());
- tile.score_against = goal;
- goal.score_against = tile;
+ tile.error_against = goal;
+ goal.error_against = tile;
}
- public synchronized void breakit() {
- if (verts > 50) return;
+ public void breakit() {
+ int oldverts = verts;
+ System.out.println("doubling vertices.");
PriorityQueue<Mesh.E> es = new PriorityQueue<Mesh.E>();
- for(Mesh.E e : tile.edges()) es.add(e);
- for(int i=0; i<10; i++) {
+ for(Mesh.T t : tile) {
+ es.add(t.e1());
+ es.add(t.e2());
+ es.add(t.e3());
+ Thread.yield();
+ repaint();
+ }
+ for(int i=0; i<Math.min(oldverts,200); i++) {
Mesh.E e = es.poll();
verts++;
- System.out.println("shatter " + e);
- e.shatter();
- tile.rebindPoints();
+ //System.out.println("shatter " + e);
+ //e.shatter(e.midpoint(), null, null, true, true);
+ e.shatter(e.midpoint(), null, null, true, false);
+ Thread.yield();
+ repaint();
}
+ tile.rebindPoints();
}
- public synchronized void rand(double temperature, Mesh.Vert p) {
- double tile_score = tile.score();
- double goal_score = goal.score();
- p.rescore();
-
- Vec v = new Vec((random.nextFloat() - (float)0.5) / 1000,
- (random.nextFloat() - (float)0.5) / 1000,
- (random.nextFloat() - (float)0.5) / 1000);
- //Matrix inv = p.errorQuadric();
- //Vec v = new Vec(inv.d, inv.h, inv.l).norm().times(1/(float)1000);
-
- boolean good = p.move(v);
- double new_tile_score = tile.score();
- double new_goal_score = goal.score();
- double tile_delta = new_tile_score - tile_score;
- double goal_delta = 0;//new_goal_score - goal_score;
- double delta = tile_delta + goal_delta;
- //double swapProbability = Math.exp((-1 * delta) / temperature);
- //boolean doSwap = Math.random() < swapProbability;
- boolean doSwap = good && (tile_delta <= 0 && goal_delta <= 0);
+ public synchronized void rand(float temp, Mesh.Vertex p) {
+ p.reComputeErrorAround();
+ double tile_error = tile.error();
+ double goal_error = goal.error();
+
+ float max = p.averageEdgeLength()/10;
+ Vec v = new Vec(random.nextFloat(), random.nextFloat(), random.nextFloat());
+ v = v.norm().times((random.nextFloat() - 0.5f) * max);
+ //System.out.println(max + " " + p.averageEdgeLength() + " " + v.mag());
+ Matrix m = Matrix.translate(v);
+
+ boolean good = p.move(m, false);
+ if (!good) { /*misses++;*/ return; }
+
+ double new_tile_error = tile.error();
+ double new_goal_error = goal.error();
+ double tile_delta = (new_tile_error - tile_error) / tile_error;
+ double goal_delta = (new_goal_error - goal_error) / goal_error;
+ double delta = tile_delta + goal_delta;
+ double swapProbability = Math.exp((-1 * delta) / (((double)temp)/1000000));
+ boolean doSwap = good && (Math.random() < swapProbability);
+ //boolean doSwap = good && (tile_delta <= 0 && goal_delta <= 0);
+ //boolean doSwap = good && (tile_delta + goal_delta <= 0);
if (doSwap) {
- tile_score = new_tile_score;
- goal_score = new_goal_score;
- //System.out.println("score: " + tile_score + " / " + goal_score);
+ tile_error = new_tile_error;
+ goal_error = new_goal_error;
+ //System.out.println("error: " + tile_error + " / " + goal_error);
+ hits++;
+ p.goodp = p.p;
} else {
- p.move(v.times(-1));
+ p.move(Matrix.translate(v.times(-1)), true);
+ misses++;
}
}
- public static int verts = 0;
-
+ float hits = 0;
+ float misses = 0;
public void anneal() throws Exception {
- int verts = 0;
+ float hightemp = 1;
+ float temp = hightemp;
+ float last = 10;
+ boolean seek_upward = false;
+ double acceptance = 1;
while(true) {
- HashSet<Mesh.Vert> hs = new HashSet<Mesh.Vert>();
- for(Mesh.Vert p : tile.vertices()) hs.add(p);
- for(int i=0; i<10; i++) {
- repaint();
- for(Mesh.Vert v : hs) rand(10,v);
+ synchronized(this) {
+ double ratio = (hits+misses==0) ? 1 : (hits / (hits+misses));
+ hits = 0;
+ misses = 0;
+ float gamma = 1;
+ acceptance = (ratio+acceptance)/2;
+ accepts = (int)(Math.ceil(ratio*100));
+ temps = (int)(Math.ceil(temp*1000));
+ vertss = tile.size();
+ if (breaks > 0) {
+ while (breaks>0) {
+ breaks--;
+ breakit();
+ }
+ seek_upward = true;
+ } else if (acceptance > 0.96) gamma = 0.4f;
+ else if (acceptance > 0.9) gamma = 0.5f;
+ else if (acceptance > 0.8) gamma = 0.65f;
+ else if (acceptance > 0.6) gamma = 0.7f;
+ else if (acceptance > 0.3) gamma = 0.8f;
+ else if (acceptance > 0.15) gamma = 0.9f;
+ else if (acceptance > 0.05) gamma = 0.95f;
+ else if (acceptance > 0.01) gamma = 0.98f;
+ else { /*breaks++;*/ }
+
+ if (seek_upward) {
+ if (acceptance > 0.2) seek_upward = false;
+ else gamma = 2-gamma;
+ }
+
+ temp = temp * gamma;
+
+
+ HashSet<Mesh.Vertex> hs = new HashSet<Mesh.Vertex>();
+ for(Mesh.Vertex p : tile.vertices()) hs.add(p);
+ Mesh.Vertex[] pts = (Mesh.Vertex[])hs.toArray(new Mesh.Vertex[0]);
+
+ int count = 0;
+ long then = System.currentTimeMillis();
+ for(int i=0; i<40; i++) {
+ if (anneal) {
+ count++;
+ Mesh.Vertex v = pts[Math.abs(random.nextInt()) % pts.length];
+ rand(temp,v);
+ v.recomputeFundamentalQuadricIfStale();
+ v.recomputeFundamentalQuadricIfNeighborChanged();
+ }
+ Thread.yield();
+ repaint();
+ }
+ PriorityQueue<Mesh.E> es = new PriorityQueue<Mesh.E>();
+ for(Mesh.T t : tile) {
+ float max = 5;
+ for(Mesh.E e : new Mesh.E[] { t.e1(), t.e2(), t.e3() }) {
+ if (e==null) continue;
+ if (e.stretchRatio() > max) es.add(e);
+ if (t.aspect() < 0.1 && e.length()>e.next.length() && e.length()>e.prev.length()) es.add(e);
+ }
+ }
+
+ for(int i=0; i<5; i++) {
+ Mesh.E e = es.poll();
+ if (e==null) break;
+ e.shatter();
+ }
+ tile.rebindPoints();
+
+ System.out.println("temp="+temp + " ratio="+(Math.ceil(acceptance*100)) + " " +
+ "points_per_second=" +
+ (count*1000)/((double)(System.currentTimeMillis()-then)));
+
+ for(Mesh.Vertex p : goal.vertices()) p.recomputeFundamentalQuadricIfNeighborChanged();
+
+ synchronized(safeTriangles) {
+ safeTriangles.clear();
+ for(Mesh.T t : tile)
+ if (t.shouldBeDrawn())
+ safeTriangles.add(t);
+ }
}
- breakit();
- repaint();
- goal.unscoreAll();
- repaint();
- tile.recomputeAllFundamentalQuadrics();
- repaint();
- goal.rescoreAll();
- }
+ }
}
+
public static void main(String[] s) throws Exception {
StlFile stlf = new StlFile();
- stlf.load("simplefish.stl");
+ stlf.load("fish.stl");
+ //stlf.load("monkey.stl");
Frame f = new Frame();
Main main = new Main(stlf, f);
+ f.pack();
+ f.show();
+ f.setSize(900, 900);
+ f.doLayout();
main.anneal();
}
+
}
\ No newline at end of file