import javax.media.opengl.*;
import javax.media.opengl.glu.*;
import edu.berkeley.qfat.geom.*;
+import edu.berkeley.qfat.geom.HasBindingGroup;
import edu.wlu.cs.levy.CG.KDTree;
import edu.berkeley.qfat.geom.Point;
+import com.infomatiq.jsi.IntProcedure;
public class Mesh implements Iterable<Mesh.T> {
private PointSet<Vertex> vertices = new PointSet<Vertex>();
public boolean immutableVertices;
- public boolean ignorecollision = false;
- public Mesh score_against = null;
- public double score = 0;
+ public Mesh error_against = null;
+ public double error = 0;
public Mesh(boolean immutableVertices) { this.immutableVertices = immutableVertices; }
public void makeVerticesImmutable() { this.immutableVertices = true; }
- public float score() { return (float)score; }
+ public float error() { return (float)error; }
public int size() { return vertices.size(); }
public Iterable<Vertex> vertices() { return vertices; }
t.e2().dobind();
t.e3().dobind();
}
+ System.out.println("rebound!");
}
public void transform(Matrix m) {
ArrayList<Vertex> set = new ArrayList<Vertex>();
for(Vertex v : vertices) set.add(v);
- for(Vertex v : set) v.transform(m);
+ for(Vertex v : set) v.transform(m.times(v.p), true);
}
public void rebuild() { /*vertices.rebuild();*/ }
// Vertexices //////////////////////////////////////////////////////////////////////////////
/** a vertex in the mesh */
- public final class Vertex extends HasPoint implements Visitor<T> {
- public String toString() { return p.toString(); }
- public Point p;
+ public final class Vertex extends HasQuadric implements Visitor {
+ public Point p, oldp, goodp;
E e; // some edge *leaving* this point
- /** the nearest vertex in the "score_against" mesh */
- Vertex nearest_in_other_mesh;
- /** the number of vertices in the other mesh for which this is the nearest_in_other_mesh */
- int quadric_count;
- /** the total error quadric (contributions from all vertices in other mesh for which this is nearest) */
- Matrix quadric = Matrix.ZERO;
+ private boolean illegal = false;
- Matrix binding = Matrix.ONE;
- Vertex bound_to = this;
- float oldscore = 0;
- boolean quadricStale = false;
-
- public Matrix errorQuadric() { return quadric; }
public Point getPoint() { return p; }
- public float score() { return oldscore; }
-
- private Matrix fundamentalQuadric = null;
- public Matrix fundamentalQuadric() {
- if (fundamentalQuadric == null) recomputeFundamentalQuadric();
- return fundamentalQuadric;
- }
+ public float error() { return olderror; }
private Vertex(Point p) {
this.p = p;
+ this.goodp = p;
if (vertices.get(p) != null) throw new Error();
vertices.add(this);
}
- private void glNormal(GL gl) {
- Vec norm = norm();
- gl.glNormal3f(norm.x, norm.y, norm.z);
+ public void reinsert() {
+ vertices.remove(this);
+ vertices.add(this);
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) e.t.reinsert();
}
- public void recomputeFundamentalQuadricIfNeighborChanged() {
- if (score_against.nearest(p) == nearest_in_other_mesh) return;
- recomputeFundamentalQuadric();
+ public float olderror = 0;
+ public void setError(float nerror) {
+ error -= olderror;
+ olderror = nerror;
+ error += olderror;
}
- public void recomputeFundamentalQuadric() {
- unApplyQuadricToNeighbor();
- if (quadricStale || fundamentalQuadric==null) {
- Matrix m = Matrix.ZERO;
- int count = 0;
- for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
- T t = e.t;
- m = m.plus(t.norm().fundamentalQuadric(t.centroid()));
- count++;
- }
- quadricStale = false;
- fundamentalQuadric = m.times(1/(float)count);
+
+ public float averageTriangleArea() {
+ int count = 0;
+ float ret = 0;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
+ ret += e.t.area();
+ count++;
}
- applyQuadricToNeighbor();
+ return ret/count;
}
-
- public void unApplyQuadricToNeighbor() {
- if (nearest_in_other_mesh == null) return;
- if (fundamentalQuadric == null) return;
- nearest_in_other_mesh.unComputeError();
- nearest_in_other_mesh.quadric = nearest_in_other_mesh.quadric.minus(fundamentalQuadric);
- nearest_in_other_mesh.quadric_count--;
- if (nearest_in_other_mesh.quadric_count==0)
- nearest_in_other_mesh.quadric = Matrix.ZERO;
- nearest_in_other_mesh.computeError();
- nearest_in_other_mesh = null;
+ public float averageEdgeLength() {
+ int count = 0;
+ float ret = 0;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
+ ret += e.length();
+ count++;
+ }
+ return ret/count;
}
- public void applyQuadricToNeighbor() {
- if (score_against == null) return;
-
- Vertex new_nearest = score_against.nearest(p);
- if (nearest_in_other_mesh != null && new_nearest == nearest_in_other_mesh) return;
-
- if (nearest_in_other_mesh != null) unApplyQuadricToNeighbor();
- if (nearest_in_other_mesh != null) throw new Error();
-
- nearest_in_other_mesh = new_nearest;
-
- // don't attract to vertices that face the other way
- if (nearest_in_other_mesh.e == null || nearest_in_other_mesh.norm().dot(norm()) < 0) {
- nearest_in_other_mesh = null;
- } else {
- nearest_in_other_mesh.unComputeError();
- nearest_in_other_mesh.quadric = nearest_in_other_mesh.quadric.plus(fundamentalQuadric());
- nearest_in_other_mesh.quadric_count++;
- nearest_in_other_mesh.computeError();
+ public Matrix _recomputeFundamentalQuadric() {
+ Matrix m = Matrix.ZERO;
+ int count = 0;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
+ m = m.plus(e.t.norm().fundamentalQuadric(e.t.centroid()));
+ count++;
}
- reComputeError();
+ return m.times(1/(float)count);
}
- public void reComputeErrorAround() {
- reComputeError();
- if (nearest_in_other_mesh != null) nearest_in_other_mesh.reComputeError();
- for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
- e.p2.reComputeError();
- }
- public void reComputeError() {
- unComputeError();
- computeError();
- }
- public void unComputeError() {
- score -= oldscore;
- oldscore = 0;
- }
+ public HasQuadric nearest() { return error_against==null ? null : error_against.vertices.nearest(p, this); }
public void computeError() {
- oldscore =
- quadric_count != 0
- ? (quadric.preAndPostMultiply(p) * 100) / quadric_count
- : immutableVertices
- ? oldscore
- : nearest_in_other_mesh != null
- ? nearest_in_other_mesh.fundamentalQuadric().preAndPostMultiply(p) * 100 * 10
- : score_against != null
- ? score_against.nearest(p).fundamentalQuadric().preAndPostMultiply(p) * 100 * 10
- : 0;
+ if (error_against==null) return;
+ float nerror =
+ nearest_in_other_mesh != null
+ ? nearest_in_other_mesh.fundamentalQuadric().preAndPostMultiply(p)
+ : nearest().fundamentalQuadric().preAndPostMultiply(p);
+ if (quadric_count != 0)
+ nerror = (nerror + quadric.preAndPostMultiply(p))/(quadric_count+1);
+
for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
- double ang = Math.abs(e.crossAngle());
+ double ang = Math.abs(e.dihedralAngle());
if (ang > Math.PI) throw new Error();
float minangle = (float)(Math.PI * 0.8);
- if (ang > minangle)
- oldscore += (ang - minangle);
+ if (ang > minangle) nerror += (ang - minangle);
+ /*
+ if (e.t.aspect() < 0.2) {
+ nerror += (0.2-e.t.aspect()) * 10;
+ }
+ */
}
- score += oldscore;
- }
- private void removeTrianglesFromRTree() {
- for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
- if (e.t != null) e.t.removeFromRTree();
+ setError(nerror);
}
- private void addTrianglesToRTree() {
- for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
- if (e.t != null) e.t.addToRTree();
+
+ public boolean move(Matrix m, boolean ignoreProblems) {
+ boolean good = true;
+
+ // t1' = M * t1
+ // t2' = t2.getMatrix(t1) * t1'
+ // t2' = t2.getMatrix(t1) * M * t1
+ // t1 = t1.getMatrix(t2) * t2
+ // M * t1 = M * t1.getMatrix(t2) * t2
+ for(Vertex v : (Iterable<Vertex>)getBoundPeers())
+ good &= v.transform(v.getBindingMatrix(this).times(m).times(this.p),
+ ignoreProblems);
+
+ for(Vertex v : (Iterable<Vertex>)getBoundPeers())
+ if (good || ignoreProblems) v.reComputeErrorAround();
+ else v.transform(v.oldp, true);
+
+ return good;
}
/** does NOT update bound pairs! */
- public boolean transform(Matrix m) {
+ private boolean transform(Point newp, boolean ignoreProblems) {
+ this.oldp = this.p;
if (immutableVertices) throw new Error();
unApplyQuadricToNeighbor();
- Point oldp = this.p;
-
- if (vertices.get(this.p)==null) throw new Error();
- vertices.remove(this);
- removeTrianglesFromRTree();
- float newx = m.a*p.x + m.b*p.y + m.c*p.z + m.d;
- float newy = m.e*p.x + m.f*p.y + m.g*p.z + m.h;
- float newz = m.i*p.x + m.j*p.y + m.k*p.z + m.l;
- this.p = new Point(newx, newy, newz);
- addTrianglesToRTree();
- vertices.add(this);
-
+ this.p = newp;
+ reinsert();
applyQuadricToNeighbor();
- good = true;
+ if (!ignoreProblems) {
+ illegal = false;
+ checkLegality();
+ }
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) e.p2.quadricStale = true;
+ return !illegal;
+ }
+ public void checkLegality() {
+ /*
for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
- if (Math.abs(e.crossAngle()) > (Math.PI * 0.9) || Math.abs(e.next.crossAngle()) > (Math.PI * 0.9)) good = false;
- if (e.t.aspect() < 0.1) good = false;
- e.p2.quadricStale = true;
+ if (Math.abs(e.dihedralAngle()) > (Math.PI * 0.9) ||
+ Math.abs(e.next.dihedralAngle()) > (Math.PI * 0.9)) illegal = true;
+ if (e.t.aspect() < 0.1) illegal = true;
}
+ */
+ if (!illegal) triangles.range(oldp, this.p, (Visitor<T>)this);
+ }
- if (!ignorecollision && good) triangles.range(oldp, this.p, (Visitor<T>)this);
-
- reComputeErrorAround();
- return good;
+ public void reComputeErrorAround() {
+ reComputeError();
+ if (nearest_in_other_mesh != null)
+ nearest_in_other_mesh.reComputeError();
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
+ e.p2.reComputeError();
}
- public void visit(T t) {
- if (!good) return;
+ public boolean visit(Object o) {
+ if (o instanceof Vertex)
+ return ((Vertex)o).e != null && ((Vertex)o).norm().dot(Vertex.this.norm()) >= 0;
+ T t = (T)o;
+ if (illegal) return false;
for(E e = Vertex.this.e; e!=null; e=e.pair.next==Vertex.this.e?null:e.pair.next) {
- if (!t.has(e.p1) && !t.has(e.p2) && e.intersects(t)) { good = false; }
+ if (!t.has(e.p1) && !t.has(e.p2) && e.intersects(t)) { illegal = true; }
if (e.t != null) {
- if (!e.t.has(t.e1().p1) && !e.t.has(t.e1().p2) && t.e1().intersects(e.t)) { good = false; }
- if (!e.t.has(t.e2().p1) && !e.t.has(t.e2().p2) && t.e2().intersects(e.t)) { good = false; }
- if (!e.t.has(t.e3().p1) && !e.t.has(t.e3().p2) && t.e3().intersects(e.t)) { good = false; }
+ if (!e.t.has(t.e1().p1) && !e.t.has(t.e1().p2) && t.e1().intersects(e.t)) { illegal = true; }
+ if (!e.t.has(t.e2().p1) && !e.t.has(t.e2().p2) && t.e2().intersects(e.t)) { illegal = true; }
+ if (!e.t.has(t.e3().p1) && !e.t.has(t.e3().p2) && t.e3().intersects(e.t)) { illegal = true; }
}
}
- }
- private boolean good;
-
- public boolean move(Vec v) {
- Matrix m = Matrix.translate(v);
- Vertex p = this;
- boolean good = true;
- do {
- good &= p.transform(m);
- p = p.bound_to;
- } while (p != this);
- return good;
+ return !illegal;
}
public E getFreeIncident() {
return null;
}
+ private void glNormal(GL gl) {
+ Vec norm = norm();
+ gl.glNormal3f(norm.x, norm.y, norm.z);
+ }
public Vec norm() {
Vec norm = new Vec(0, 0, 0);
for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
return norm.norm();
}
- public boolean isBoundTo(Vertex p) {
- for(Vertex px = p; px!=null; px=(px.bound_to==p?null:px.bound_to))
- if (px==this)
- return true;
- return false;
- }
-
- public void unbind() { bound_to = this; binding = Matrix.ONE; }
- public void bind(Vertex p) { bind(p, Matrix.ONE); }
- public void bind(Vertex p, Matrix binding) {
- if (isBoundTo(p)) return;
- Vertex temp_bound_to = p.bound_to;
- Matrix temp_binding = p.binding;
- p.bound_to = this.bound_to;
- p.binding = binding.times(this.binding); // FIXME: may have order wrong here
- this.bound_to = temp_bound_to;
- this.binding = temp_binding.times(temp_binding); // FIXME: may have order wrong here
- }
+ public void bindTo(Vertex p) { bindTo(Matrix.ONE, p); }
}
public class BindingGroup {
e.bind_to = bind_others;
for (E epeer : e_bind_peers.set) add(epeer);
for (E eother : e_bind_to.set) bind_others.add(eother);
-
+ /*
for(E eother : bind_others.set) {
if (e.next.bind_to.set.contains(eother.prev)) {
e.next.next.bindEdge(eother.prev.prev);
e.prev.prev.bindEdge(eother.next.next);
}
}
-
+ */
}
public void dobind(E e) {
for(E ebound : set) {
- e.p1.bind(ebound.p2);
- e.p2.bind(ebound.p1);
+ e.p1.bindTo(Matrix.ONE, ebound.p2);
+ e.p2.bindTo(Matrix.ONE, ebound.p1);
}
}
- public void shatter(BindingGroup bg1, BindingGroup bg2) {
+ public void shatter(BindingGroup bg1, BindingGroup bg2, boolean triangles) {
for(E e : set) {
- e.shatter(e.midpoint(), bg1, bg2);
+ e.shatter(e.midpoint(), bg1, bg2, triangles);
}
}
}
/** [UNIQUE] an edge */
- public final class E implements Comparable<E> {
+ public final class E extends HasBindingGroup implements Comparable<E> {
public final Vertex p1, p2;
T t; // triangle to our "left"
boolean shattered = false;
public boolean intersects(T t) { return t.intersects(p1.p, p2.p); }
+
+ public void bindingGroupChanged(edu.berkeley.qfat.geom.BindingGroup newBindingGroup_) {
+ edu.berkeley.qfat.geom.BindingGroup<E> newBindingGroup =
+ (edu.berkeley.qfat.geom.BindingGroup<E>)newBindingGroup_;
+ if (newBindingGroup==null) return;
+ if (this==newBindingGroup.getMaster()) return;
+ /*
+ for(E eother : (Iterable<E>)newBindingGroup) {
+ this.next.bindTo(newBindingGroup.getMatrix(eother), eother.next);
+ this.prev.bindTo(newBindingGroup.getMatrix(eother), eother.prev);
+ }
+ */
+ }
+
+ public float stretchRatio() {
+ Vertex nearest = error_against.nearest(midpoint());
+ float nearest_distance = midpoint().distance(nearest.p);
+ float other_distance =
+ (p1.p.distance(error_against.nearest(p1.p).p)+
+ p2.p.distance(error_against.nearest(p2.p).p))/2;
+ return nearest_distance/other_distance;
+ }
public float comparator() {
- Vertex nearest = score_against.nearest(midpoint());
- return (float)Math.max(length(), midpoint().distance(nearest.p));
+ return length();
+ //return t==null?0:(1/t.aspect());
}
public int compareTo(E e) {
return e.comparator() > comparator() ? 1 : -1;
}
- public void bindEdge(E e) { bind_to.add(e); }
- public void dobind() { bind_to.dobind(this); }
+ public void bindEdge(E e, Matrix m) {
+ _bindEdge(e, m);
+ pair._bindEdge(e.pair, m);
+ }
+ public void _bindEdge(E e, Matrix m) {
+ //bind_to.add(e);
+
+ e = e.pair;
+ /*
+ //assumes edges are identical length at binding time
+ Vec reflectionPlaneNormal = e.p2.p.minus(e.p1.p).norm();
+ float a = reflectionPlaneNormal.x;
+ float b = reflectionPlaneNormal.y;
+ float c = reflectionPlaneNormal.z;
+ Matrix reflectionMatrix =
+ new Matrix( 1-2*a*a, -2*a*b, -2*a*c, 0,
+ -2*a*b, 1-2*b*b, -2*b*c, 0,
+ -2*a*c, -2*b*c, 1-2*c*c, 0,
+ 0, 0, 0, 1);
+ m = m.times(Matrix.translate(e.midpoint().minus(Point.ORIGIN))
+ .times(reflectionMatrix)
+ .times(Matrix.translate(Point.ORIGIN.minus(e.midpoint()))));
+ System.out.println(reflectionPlaneNormal);
+ System.out.println(" " + p1.p + " " + m.times(e.p1.p));
+ System.out.println(" " + p2.p + " " + m.times(e.p2.p));
+ */
+ if (m.times(e.p1.p).minus(p1.p).mag() > EPSILON) throw new Error();
+ if (m.times(e.p2.p).minus(p2.p).mag() > EPSILON) throw new Error();
+ this.bindTo(m, e);
+ }
+
+ public void dobind() {
+ //bind_to.dobind(this);
+ for(E e : (Iterable<E>)getBoundPeers()) {
+ if (e==this) continue;
+ p1.bindTo(getBindingMatrix(e), e.p1);
+ p2.bindTo(getBindingMatrix(e), e.p2);
+ }
+ }
- public Point shatter() { return shatter(midpoint(), null, null); }
- public Point shatter(Point mid, BindingGroup bg1, BindingGroup bg2) {
+ public Point shatter() { return shatter(true); }
+ public Point shatter(boolean triangles) { return shatter(midpoint(), null, null, triangles); }
+ public Point shatter(Point mid, BindingGroup bg1, BindingGroup bg2, boolean triangles) {
+ return shatter(mid, bg1, bg2, triangles, false);
+ }
+ public Point shatter(Point mid, BindingGroup bg1, BindingGroup bg2, boolean triangles, boolean leader) {
if (shattered || destroyed) return mid;
shattered = true;
if (bg1==null) bg1 = new BindingGroup();
if (bg2==null) bg2 = new BindingGroup();
BindingGroup old_bind_to = bind_to;
- bind_peers.shatter(bg1, bg2);
- old_bind_to.shatter(bg2.other(), bg1.other());
+ bind_peers.shatter(bg1, bg2, triangles);
+ old_bind_to.shatter(bg2.other(), bg1.other(), triangles);
+ if (!triangles) {
+ next.shatter(false);
+ prev.shatter(false);
+ }
pair.shatter();
destroy();
- newT(r.p, p1.p, mid, null, old_colorclass);
- newT(r.p, mid, p2.p, null, old_colorclass);
- bg1.add(p1.getE(mid));
- bg2.add(p2.getE(mid).pair);
+ if (triangles) {
+ newT(r.p, p1.p, mid, null, old_colorclass);
+ newT(r.p, mid, p2.p, null, old_colorclass);
+ bg1.add(p1.getE(mid));
+ bg2.add(p2.getE(mid).pair);
+ if (leader) p1.getE(mid).shatter();
+ }
return mid;
}
public T makeT(int colorclass) { return t==null ? (t = new T(this, colorclass)) : t; }
- public double crossAngle() {
+ public double dihedralAngle() {
Vec v1 = t.norm().times(-1);
Vec v2 = pair.t.norm().times(-1);
return Math.acos(v1.norm().dot(v2.norm()));
return ret;
}
-
/** [UNIQUE] a triangle (face) */
public final class T extends Triangle {
public final E e1;
public final int color;
public final int colorclass;
- public void removeFromRTree() { triangles.remove(this); }
- public void addToRTree() { triangles.insert(this); }
-
- public void destroy() { triangles.remove(this); }
-
T(E e1, int colorclass) {
this.e1 = e1;
E e2 = e1.next;
public boolean hasE(E e) { return e1==e || e1.next==e || e1.prev==e; }
public boolean has(Vertex v) { return v1()==v || v2()==v || v3()==v; }
+ public void removeFromRTree() { triangles.remove(this); }
+ public void addToRTree() { triangles.insert(this); }
+ public void destroy() { triangles.remove(this); }
+ public void reinsert() { triangles.remove(this); triangles.add(this); }
+
public boolean shouldBeDrawn() {
+ /*
+ if (e1().bind_to==null) return false;
+ if (e2().bind_to==null) return false;
+ if (e3().bind_to==null) return false;
if (e1().bind_to.set.size() == 0) return false;
if (e2().bind_to.set.size() == 0) return false;
if (e3().bind_to.set.size() == 0) return false;
+ */
return true;
}
+ /** issue gl.glVertex() for each of the triangle's points */
+ public void glVertices(GL gl) {
+ if (!shouldBeDrawn()) return;
+ norm().glNormal(gl);
+ Point p1 = v1().goodp;
+ Point p2 = v2().goodp;
+ Point p3 = v3().goodp;
+ p1.glVertex(gl);
+ p2.glVertex(gl);
+ p3.glVertex(gl);
+ }
+
}
}