import edu.berkeley.qfat.geom.*;
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; }
}
}
- public void unApplyQuadricToNeighborAll() {
- HashSet<Vertex> done = new HashSet<Vertex>();
- for(T t : this)
- for(Vertex p : new Vertex[] { t.v1(), t.v2(), t.v3() }) {
- if (done.contains(p)) continue;
- done.add(p);
- p.unApplyQuadricToNeighbor();
- }
- }
- public void recomputeAllFundamentalQuadrics() {
- HashSet<Vertex> done = new HashSet<Vertex>();
- for(T t : this)
- for(Vertex p : new Vertex[] { t.v1(), t.v2(), t.v3() }) {
- if (done.contains(p)) continue;
- done.add(p);
- p.recomputeFundamentalQuadric();
- }
- }
- public float applyQuadricToNeighborAll() {
- int num = 0;
- double dist = 0;
- HashSet<Vertex> done = new HashSet<Vertex>();
- for(T t : this)
- for(Vertex p : new Vertex[] { t.v1(), t.v2(), t.v3() }) {
- if (done.contains(p)) continue;
- done.add(p);
- p.applyQuadricToNeighbor();
-
- }
- return (float)(dist/num);
- }
-
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;
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;
-
- Vertex bound_to = this;
Matrix binding = Matrix.ONE;
- float oldscore = 0;
- boolean quadricStale = false;
+ Vertex bound_to = this;
+ private boolean illegal = 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;
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 recomputeFundamentalQuadric() {
- if (!quadricStale && fundamentalQuadric != null) return;
- quadricStale = false;
- unApplyQuadricToNeighbor();
- Matrix m = Matrix.ZERO;
- E e = this.e;
+ public float olderror = 0;
+ public void setError(float nerror) {
+ error -= olderror;
+ olderror = nerror;
+ error += olderror;
+ }
+
+ public float averageTriangleArea() {
int count = 0;
- do {
- T t = e.t;
- m = m.plus(t.norm().fundamentalQuadric(t.centroid()));
+ 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++;
- e = e.pair.next;
- } while(e != this.e);
- fundamentalQuadric = m.times(1/(float)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();
- E e = this.e;
- do {
- e.p2.reComputeError();
- e = e.pair.next;
- } while (e != this.e);
- }
- 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() {
- if (quadric_count == 0) {
- if (immutableVertices) {
- } else if (nearest_in_other_mesh == null) {
- if (score_against != null) {
- Vertex ne = score_against.nearest(p);
- oldscore = ne.fundamentalQuadric().preAndPostMultiply(p) * 100 * 10;
- } else {
- oldscore = 0;
- }
- } else {
- oldscore = nearest_in_other_mesh.fundamentalQuadric().preAndPostMultiply(p) * 100 * 10;
- }
- } else {
- oldscore = (quadric.preAndPostMultiply(p) * 100) / quadric_count;
- }
-
- oldscore = oldscore;
-
- int numaspects = 0;
- float aspects = 0;
- E e = this.e;
- do {
- //double ang = Math.abs(e.crossAngle());
+ if (error_against==null) return;
+ float nerror =
+ quadric_count != 0
+ ? (quadric.preAndPostMultiply(p) * 100)/quadric_count
+ : nearest_in_other_mesh != null
+ ? nearest_in_other_mesh.fundamentalQuadric().preAndPostMultiply(p) * 100
+ : nearest().fundamentalQuadric().preAndPostMultiply(p) * 100;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
double ang = Math.abs(e.crossAngle());
if (ang > Math.PI) throw new Error();
+ float minangle = (float)(Math.PI * 0.8);
+ if (ang > minangle) nerror += (ang - minangle);
/*
- if (e.t != null) {
- numaspects++;
- aspects += e.t.aspect()*e.t.aspect();
- }
+ if (e.t.aspect() < 0.2) {
+ nerror += (0.2-e.t.aspect()) * 300;
+ }
*/
-
- float minangle = (float)(Math.PI * 0.8);
- if (ang > minangle)
- oldscore += (ang - minangle);
-
- e = e.pair.next;
- } while (e != this.e);
- if (numaspects > 0) oldscore += (aspects / numaspects);
-
- //System.out.println(oldscore);
- //oldscore = oldscore*oldscore;
- score += oldscore;
- }
-
- private void removeTrianglesFromRTree() {
- E e = this.e;
- do {
- if (e.t != null) e.t.removeFromRTree();
- e = e.pair.next;
- } while(e != this.e);
- }
- private void addTrianglesToRTree() {
- E e = this.e;
- do {
- if (e.t != null) e.t.addToRTree();
- e = e.pair.next;
- } while(e != this.e);
+ }
+ setError(nerror);
}
/** 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;
-
- for(E e = this.e; ;) {
- 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;
- e = e.pair.next;
- if (e==this.e) break;
+ 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;
+ }
- if (!ignorecollision && good) triangles.range(oldp, this.p, (Visitor<T>)this);
+ 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)) illegal = true;
+ if (e.t.aspect() < 0.1) illegal = true;
+ }
+ */
+ if (!illegal) 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;
- E e = Vertex.this.e;
- do {
- if (!t.has(e.p1) && !t.has(e.p2) && e.intersects(t)) { good = false; }
+ 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)) { 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; }
}
- e = e.pair.next;
- } while(e != Vertex.this.e);
+ }
+ return !illegal;
}
- private boolean good;
- public boolean move(Vec v) {
- Matrix m = Matrix.translate(v);
- Vertex p = this;
+ public boolean move(Matrix m, boolean ignoreProblems) {
boolean good = true;
- do {
- good &= p.transform(m);
- p = p.bound_to;
- } while (p != this);
+ for(Vertex p = this; p != null; p = (p.bound_to==this)?null:p.bound_to)
+ good &= p.transform(m.times(p.p), ignoreProblems);
+ for(Vertex p = this; p != null; p = (p.bound_to==this)?null:p.bound_to)
+ if (good || ignoreProblems) p.reComputeErrorAround();
+ else p.transform(p.oldp, true);
return good;
}
public E getFreeIncident() {
E ret = getFreeIncident(e, e);
if (ret != null) return ret;
- ret = getFreeIncident(e.pair.next, e.pair.next);
- if (ret == null) {
- E ex = e;
- do {
- System.out.println(ex + " " + ex.t);
- ex = ex.pair.next;
- } while (ex != e);
- throw new Error("unable to find free incident to " + this);
- }
- return ret;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
+ System.out.println(e + " " + e.t);
+ throw new Error("unable to find free incident to " + this);
}
public E getFreeIncident(E start, E before) {
- E e = start;
- do {
- if (e.pair.p2 == this && e.pair.t == null && e.pair.next.t == null) return e.pair;
- e = e.pair.next;
- } while(e != before);
+ for(E e = start; e!=null; e=e.pair.next==before?null:e.pair.next)
+ if (e.pair.p2 == this && e.pair.t == null && e.pair.next.t == null)
+ return e.pair;
return null;
}
return getE(v);
}
public E getE(Vertex p2) {
- E e = this.e;
- do {
- if (e==null) return null;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
if (e.p1 == this && e.p2 == p2) return e;
- e = e.pair.next;
- } while (e!=this.e);
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);
- E e = this.e;
- do {
- if (e.t != null) norm = norm.plus(e.t.norm().times((float)e.prev.angle()));
- e = e.pair.next;
- } while(e != this.e);
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
+ if (e.t != null)
+ norm = norm.plus(e.t.norm().times((float)e.prev.angle()));
return norm.norm();
}
public boolean isBoundTo(Vertex p) {
- Vertex px = p;
- do {
- if (px==this) return true;
- px = px.bound_to;
- } while(px != 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) {
public boolean intersects(T t) { return t.intersects(p1.p, p2.p); }
public float comparator() {
- Vertex nearest = score_against.nearest(midpoint());
- //if (t==null) return length();
/*
- double ang = Math.abs(crossAngle());
- float minangle = (float)(Math.PI * 0.9);
- if (ang > minangle)
- return 300;
- */
- /*
- if ((length() * length()) / t.area() > 10)
- return (float)(length()*Math.sqrt(t.area()));
- return length()*t.area();
- */
- return (float)Math.max(length(), midpoint().distance(nearest.p));
+ Vertex nearest = error_against.nearest(midpoint());
+ //return (float)Math.max(length(), midpoint().distance(nearest.p));
//return length();
+ 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;
+ */
+ return length();
+ //return t==null?0:(1/t.aspect());
}
public int compareTo(E e) {
return e.comparator() > comparator() ? 1 : -1;
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.set.size() == 0) return false;
if (e2().bind_to.set.size() == 0) return false;