public static final Random random = new Random();
private PointSet<Vert> pointset = new PointSet<Vert>();
-
+ public int size() { return pointset.size(); }
public Iterable<Vert> vertices() { return pointset; }
public Iterable<E> edges() {
}
public Iterator<T> iterator() {
+ /*
for(Vert v : pointset)
if (v.e != null && v.e.t != null)
return new FaceIterator(v);
return new FaceIterator();
+ */
+ return ts.iterator();
}
+ public HashSet<T> ts = new HashSet<T>();
+ public RTree<T> tris = new RTree<T>();
+
public Mesh score_against = null;
public double score = 0;
public float score() { return (float)score; }
public int numedges = 0;
public float avgedge = 0;
- public void unbind() {
+ public void rebindPoints() {
+ // unbind all points
for(Mesh.T t : this) {
t.v1().unbind();
t.v2().unbind();
t.v3().unbind();
}
- }
-
- public void bind() {
+ // ask edges to re-implement their bindings
for(Mesh.T t : this) {
t.e1().dobind();
t.e2().dobind();
}
}
- public float rescore() {
+ public void unApplyQuadricToNeighborAll() {
+ HashSet<Vert> done = new HashSet<Vert>();
+ for(T t : this)
+ for(Vert p : new Vert[] { t.v1(), t.v2(), t.v3() }) {
+ if (done.contains(p)) continue;
+ done.add(p);
+ p.unApplyQuadricToNeighbor();
+ }
+ }
+ public void recomputeAllFundamentalQuadrics() {
+ HashSet<Vert> done = new HashSet<Vert>();
+ for(T t : this)
+ for(Vert p : new Vert[] { 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<Vert> done = new HashSet<Vert>();
for(Vert p : new Vert[] { t.v1(), t.v2(), t.v3() }) {
if (done.contains(p)) continue;
done.add(p);
- p.rescore();
+ p.applyQuadricToNeighbor();
+
}
return (float)(dist/num);
}
return (float)total;
}
- public class BindingGroup {
- public HashSet<E> es = new HashSet<E>();
- public BindingGroup() { }
- public BindingGroup(E e) {
- es.add(e);
- }
- public void add(E e) {
- if (e.bg != null) { merge(e.bg); return; }
- es.add(e);
- e.bg = this;
- }
- public void merge(BindingGroup bg) {
- for(E e : bg.es) {
- e.bg = null;
- add(e);
- }
- }
- }
-
+ public void rebuildPointSet() { pointset.rebuild(); }
public Vec diagonal() { return pointset.diagonal(); }
public Point centroid() { return pointset.centroid(); }
public Vert nearest(Point p) { return pointset.nearest(p); }
public final class Vert extends HasPoint {
+ public String toString() { return p.toString(); }
public Point p;
E e; // some edge *leaving* this point
- Vert bound_to = this;
-
/** the nearest vertex in the "score_against" mesh */
Vert nearest_in_other_mesh;
/** the number of vertices in the other mesh for which this is the nearest_in_other_mesh */
/** the total error quadric (contributions from all vertices in other mesh for which this is nearest) */
Matrix quadric = Matrix.ZERO;
- Matrix binding = new Matrix();
+ Vert bound_to = this;
+ Matrix binding = Matrix.ONE;
float oldscore = 0;
- boolean inserted = false;
+ 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() {
return fundamentalQuadric;
}
- public Point getPoint() { return p; }
private Vert(Point p) {
this.p = p;
if (pointset.get(p) != null) throw new Error();
pointset.add(this);
}
- public float score() { return oldscore; }
+
+ private void glNormal(GL gl) {
+ Vec norm = norm();
+ gl.glNormal3f(norm.x, norm.y, norm.z);
+ }
public void recomputeFundamentalQuadric() {
- unscore();
+ //if (!quadricStale && fundamentalQuadric != null) return;
+ quadricStale = false;
+ unApplyQuadricToNeighbor();
Matrix m = Matrix.ZERO;
E e = this.e;
+ int count = 0;
do {
T t = e.t;
m = m.plus(t.norm().fundamentalQuadric(t.centroid()));
+ count++;
e = e.pair.next;
} while(e != this.e);
- fundamentalQuadric = m;
- rescore();
+ fundamentalQuadric = m.times(1/(float)count);
+ applyQuadricToNeighbor();
}
- public void unscore() {
+ 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 void rescore() {
+ public void applyQuadricToNeighbor() {
if (score_against == null) return;
- score -= oldscore;
- oldscore = 0;
+ Vert 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();
- if (nearest_in_other_mesh != null) unscore();
- if (nearest_in_other_mesh == null) {
- nearest_in_other_mesh = score_against.nearest(p);
+ 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();
+ }
+ reComputeError();
+ }
- // 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;
+ 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 void computeError() {
+ if (quadric_count == 0) {
+ if (!tilemesh) {
+ }
+ else if (nearest_in_other_mesh == null) {
+ if (score_against != null) {
+ Vert ne = score_against.nearest(p);
+ oldscore = ne.fundamentalQuadric().preAndPostMultiply(p) * 100 * 10;
+ } else {
+ oldscore = 0;
+ }
} else {
- nearest_in_other_mesh.quadric = nearest_in_other_mesh.quadric.plus(fundamentalQuadric());
- nearest_in_other_mesh.quadric_count++;
+ oldscore = nearest_in_other_mesh.fundamentalQuadric().preAndPostMultiply(p) * 100 * 10;
}
+ } else {
+ oldscore = (quadric.preAndPostMultiply(p) * 100) / quadric_count;
}
- /*
- double s1, s2;
- if (quadric_count==0) s1 = 0;
- else s1 = p.distance(quadric_x/quadric_count, quadric_y/quadric_count, quadric_z/quadric_count);
- s2 = quadric==null ? 0 : po.p.distance(quadric.p);
- oldscore = (float)(s1 + s2);
- */
- oldscore = quadric.preAndPostMultiply(p);
+ oldscore = oldscore;
+ int numaspects = 0;
+ float aspects = 0;
+ E e = this.e;
+ do {
+ //double ang = Math.abs(e.crossAngle());
+ double ang = Math.abs(e.crossAngle());
+ if (ang > Math.PI) throw new Error();
+ /*
+ if (e.t != null) {
+ numaspects++;
+ aspects += e.t.aspect()*e.t.aspect();
+ }
+ */
+
+ 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);
+ }
+
/** does NOT update bound pairs! */
public boolean transform(Matrix m) {
- unscore();
+ unApplyQuadricToNeighbor();
+ Point oldp = this.p;
try {
if (pointset.get(this.p)==null) throw new Error();
pointset.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();
pointset.add(this);
} catch (Exception e) {
throw new RuntimeException(e);
}
- fundamentalQuadric = fundamentalQuadric();
- rescore();
+ applyQuadricToNeighbor();
- // recompute fundamental quadrics of all vertices sharing a face
+ // FIXME: intersection test needed?
+ good = true;
+
+ // should recompute fundamental quadrics of all vertices sharing a face, but we defer...
E e = this.e;
do {
- e.t.v1().recomputeFundamentalQuadric();
- e.t.v2().recomputeFundamentalQuadric();
- e.t.v3().recomputeFundamentalQuadric();
+ /*
+ 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;
} while(e != this.e);
-
- boolean good = true;
- /*
- for(T t : this) {
- for(E e = this.e; ;) {
- if (e.intersects(t)) { good = false; break; }
- e = e.pair.next;
- if (e == this.e) break;
+
+
+ if (!ignorecollision && good) {
+
+ tris.range(new Segment(oldp, this.p),
+ new Visitor<T>() {
+ public void visit(T t) {
+ if (!good) return;
+ E e = Vert.this.e;
+ do {
+ if (!t.has(e.p1) && !t.has(e.p2) && e.intersects(t)) { good = false; }
+ 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; }
+ }
+ e = e.pair.next;
+ } while(e != Vert.this.e);
+ }
+ });
+
+ /*
+ for(T t : Mesh.this) {
+ if (!good) break;
+ e = this.e;
+ do {
+ if (!t.has(e.p1) && !t.has(e.p2) && e.intersects(t)) { good = false; break; }
+ if (e.t != null) {
+ if (!e.t.has(t.e1().p1) && !e.t.has(t.e1().p2) && t.e1().intersects(e.t)) { good = false; break; }
+ if (!e.t.has(t.e2().p1) && !e.t.has(t.e2().p2) && t.e2().intersects(e.t)) { good = false; break; }
+ if (!e.t.has(t.e3().p1) && !e.t.has(t.e3().p2) && t.e3().intersects(e.t)) { good = false; break; }
+ }
+ e = e.pair.next;
+ } while(e != this.e);
}
+ */
}
- */
- /*
- if (t==this.t) continue;
- if (this.intersects(t)) good = false;
- }
- */
+
+
+ reComputeErrorAround();
return good;
}
+ private boolean good;
+
public boolean move(Vec v) {
- Matrix m = new Matrix(v);
+ Matrix m = Matrix.translate(v);
Vert p = this;
boolean good = true;
do {
good &= p.transform(m);
- v = v.times(binding); // bleh wrong
p = p.bound_to;
} while (p != this);
return good;
E ret = getFreeIncident(e, e);
if (ret != null) return ret;
ret = getFreeIncident(e.pair.next, e.pair.next);
- if (ret == null) throw new Error("unable to find free incident to " + this);
+ 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;
}
return null;
}
+ 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);
+ return norm.norm();
+ }
+
public boolean isBoundTo(Vert p) {
Vert px = p;
do {
} while(px != p);
return false;
}
-
- public void unbind() { bound_to = this; binding = new Matrix(); }
- public void bind(Vert p) { bind(p, new Matrix()); }
+ public void unbind() { bound_to = this; binding = Matrix.ONE; }
+ public void bind(Vert p) { bind(p, Matrix.ONE); }
public void bind(Vert p, Matrix binding) {
if (isBoundTo(p)) return;
Vert temp_bound_to = p.bound_to;
this.bound_to = temp_bound_to;
this.binding = temp_binding.times(temp_binding); // FIXME: may have order wrong here
}
- 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);
- return norm.norm();
+ }
+
+ public class BindingGroup {
+ private HashSet<E> set = new HashSet<E>();
+ public BindingGroup bind_others;
+ public BindingGroup other() { return bind_others; }
+ public BindingGroup(BindingGroup bind_others) { this.bind_others = bind_others; }
+ public BindingGroup() { this.bind_others = new BindingGroup(this); }
+ public BindingGroup(E e) { this(); set.add(e); }
+ public void add(E e) {
+ if (set.contains(e)) return;
+ set.add(e);
+ BindingGroup e_bind_peers = e.bind_peers;
+ BindingGroup e_bind_to = e.bind_to;
+ e.bind_peers = this;
+ 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);
+ }
+ if (e.prev.bind_to.set.contains(eother.next)) {
+ 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);
+ }
+ }
+ public void shatter(BindingGroup bg1, BindingGroup bg2) {
+ for(E e : set) {
+ e.shatter(e.midpoint(), bg1, bg2);
+ }
}
}
E prev; // previous half-edge
E next; // next half-edge
E pair; // partner half-edge
- public BindingGroup bg = new BindingGroup(this);
+ public BindingGroup bind_peers = new BindingGroup(this);
+ public BindingGroup bind_to = bind_peers.other();
boolean shattered = false;
- public int compareTo(E e) { return e.length() > length() ? 1 : -1; }
-
- public void bind(E e) { bind(e, new Matrix()); }
- public void bind(E e, Matrix m) { e.bg.add(this); }
-
- public void dobind() {
- if (bg==null) return;
- for(E ex : bg.es) {
- if (ex==this) continue;
- p1.bind(ex.p1);
- p2.bind(ex.p2);
- }
+ public float comparator() {
+ Vert 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));
+ //return length();
+ }
+ 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 Point shatter() { return shatter(midpoint(), null, null); }
public Point shatter(Point mid, BindingGroup bg1, BindingGroup bg2) {
- if (shattered) return mid;
+ if (shattered || destroyed) return mid;
shattered = true;
Vert r = next.p2;
E next = this.next;
E prev = this.prev;
+ int old_colorclass = t==null ? 0 : t.colorclass;
if (bg1==null) bg1 = new BindingGroup();
if (bg2==null) bg2 = new BindingGroup();
- for(E e : bg.es) e.shatter(e.midpoint(), bg1, bg2);
+ BindingGroup old_bind_to = bind_to;
+ bind_peers.shatter(bg1, bg2);
+ old_bind_to.shatter(bg2.other(), bg1.other());
pair.shatter();
destroy();
- newT(r.p, p1.p, mid, null);
- newT(r.p, mid, p2.p, null);
+ 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);
return mid;
if (destroyed) return;
destroyed = true;
pair.destroyed = true;
+
+ if (t != null) t.destroy();
+ t = null;
+
+ if (pair.t != null) pair.t.destroy();
+ pair.t = null;
+
if (next.t != null) next.t.destroy();
if (prev.t != null) prev.t.destroy();
next.t = null;
prev.t = null;
+
+ if (pair.next.t != null) pair.next.t.destroy();
+ if (pair.prev.t != null) pair.next.t.destroy();
pair.next.t = null;
pair.prev.t = null;
- this.bg = null;
- pair.bg = null;
+
+ this.bind_to = null;
+ pair.bind_to = null;
+ this.bind_peers = null;
+ pair.bind_peers = null;
pair.prev.next = next;
next.prev = pair.prev;
prev.next = pair.next;
this.prev.next = this;
this.next.prev = this;
this.pair.pair = this;
+ bind_peers.add(this);
if (this.next.p1 != p2) throw new Error();
if (this.prev.p2 != p1) throw new Error();
if (this.p1.e == null) this.p1.e = this;
}
private boolean added = false;
- public T makeT() { return t==null ? (t = new T(this)) : t; }
+ public T makeT(int colorclass) { return t==null ? (t = new T(this, colorclass)) : t; }
+
+ public double crossAngle() {
+ Vec v1 = t.norm().times(-1);
+ Vec v2 = pair.t.norm().times(-1);
+ return Math.acos(v1.norm().dot(v2.norm()));
+ }
/** angle between this half-edge and the next */
public double angle() {
if (v2 != null) return new E(v2.getFreeIncident(), p1).pair;
return new E(p1, p2);
}
- public T newT(Point p1, Point p2, Point p3, Vec norm) {
+ public T newT(Point p1, Point p2, Point p3, Vec norm, int colorclass) {
if (norm != null) {
Vec norm2 = p3.minus(p1).cross(p2.minus(p1));
float dot = norm.dot(norm2);
e23.makeAdjacent(e31);
e31.makeAdjacent(e12);
}
- T ret = e12.makeT();
+ T ret = e12.makeT(colorclass);
if (e12.t == null) throw new Error();
if (e23.t == null) throw new Error();
if (e31.t == null) throw new Error();
public final class T extends Triangle {
public final E e1;
public final int color;
+ public final int colorclass;
+
+ public void removeFromRTree() { tris.remove(this); }
+ public void addToRTree() { tris.insert(this); }
public void destroy() {
+ tris.remove(this);
+ ts.remove(this);
}
- T(E e1) {
+ T(E e1, int colorclass) {
this.e1 = e1;
E e2 = e1.next;
E e3 = e2.next;
break;
}
this.color = color;
+ this.colorclass = colorclass;
+ ts.add(this);
+ tris.add(this);
}
public E e1() { return e1; }
public E e2() { return e1.next; }
public Point p3() { return e1.next.p2.p; }
public boolean hasE(E e) { return e1==e || e1.next==e || e1.prev==e; }
public boolean has(Vert v) { return v1()==v || v2()==v || v3()==v; }
- }
+ public void glVertices(GL gl) {
+
+ if (e1().bind_to.set.size() == 0) return;
+ if (e2().bind_to.set.size() == 0) return;
+ if (e3().bind_to.set.size() == 0) return;
+
+ norm().glNormal(gl);
+ p1().glVertex(gl);
+ p2().glVertex(gl);
+ p3().glVertex(gl);
+ }
+ }
+ public boolean tilemesh = false;
+ public boolean ignorecollision = false;
}