X-Git-Url: http://git.megacz.com/?p=anneal.git;a=blobdiff_plain;f=src%2Fedu%2Fberkeley%2Fqfat%2FMesh.java;h=747599c59e3ff26c47a82543d461665574ba3909;hp=f6357548443e2ce607fae54316eed82bfd3ae35f;hb=2f48eabf8a07e99905e1eae0b64b5a2abecb01fe;hpb=b6875b8bd79c804e15eb75bc64044ca2c770b07d

diff --git a/src/edu/berkeley/qfat/Mesh.java b/src/edu/berkeley/qfat/Mesh.java
index f635754..747599c 100644
--- a/src/edu/berkeley/qfat/Mesh.java
+++ b/src/edu/berkeley/qfat/Mesh.java
@@ -50,15 +50,14 @@ public class Mesh implements Iterable<Mesh.T> {
     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();
@@ -66,7 +65,25 @@ public class Mesh implements Iterable<Mesh.T> {
         }
     }
 
-    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>();
@@ -74,7 +91,8 @@ public class Mesh implements Iterable<Mesh.T> {
             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);
     }
@@ -98,25 +116,7 @@ public class Mesh implements Iterable<Mesh.T> {
         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); }
@@ -125,83 +125,100 @@ public class Mesh implements Iterable<Mesh.T> {
         public Point p;
         E e;                // some edge *leaving* this point
 
+        /** 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 */
+        int    quadric_count;
+        /** the total error quadric (contributions from all vertices in other mesh for which this is nearest) */
+        Matrix quadric = Matrix.ZERO;
+
         Vert bound_to = this;
-        int nearest_vert_in_other_mesh_count;
-        float nearest_vert_in_other_mesh_x;
-        float nearest_vert_in_other_mesh_y;
-        float nearest_vert_in_other_mesh_z;
-        Vert nearest_vert_in_other_mesh;
         Matrix binding = new Matrix();
         float oldscore = 0;
-        boolean inserted = false;
+        boolean quadricStale = false;
+
+        public Matrix errorQuadric() { return quadric; }
+        public Point getPoint() { return p; }
+        public float score() { return oldscore; }
 
-        public Matrix quadric() {
-            Matrix m = new Matrix(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0);
+        private Matrix fundamentalQuadric = null;
+        public Matrix fundamentalQuadric() {
+            if (fundamentalQuadric == null) recomputeFundamentalQuadric();
+            return fundamentalQuadric;
+        }
+
+        private Vert(Point p) {
+            this.p = p;
+            if (pointset.get(p) != null) throw new Error();
+            pointset.add(this);
+        }
+
+        public void recomputeFundamentalQuadric() {
+            if (!quadricStale && fundamentalQuadric != null) return;
+            quadricStale = false;
+            unApplyQuadricToNeighbor();
+            Matrix m = Matrix.ZERO;
             E e = this.e;
             do {
                 T t = e.t;
                 m = m.plus(t.norm().fundamentalQuadric(t.centroid()));
                 e = e.pair.next;
             } while(e != this.e);
-            return m;
+            fundamentalQuadric = m;
+            applyQuadricToNeighbor();
         }
 
-        public Point getPoint() { return p; }
-        private Vert(Point p) {
-            this.p = p;
-            if (pointset.get(p) != null) throw new Error();
-            pointset.add(this);
+        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 score() { return oldscore; }
-        public void unscore() {
-            if (nearest_vert_in_other_mesh == null) return;
-            nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_x -= p.x;
-            nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_y -= p.y;
-            nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_z -= p.z;
-            nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_count--;
-            if (nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_count==0) {
-                nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_x = 0;
-                nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_y = 0;
-                nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_z = 0;
-            }
-            nearest_vert_in_other_mesh = null;
-        }
-        public Vert partner() { return nearest_vert_in_other_mesh==null ? this : nearest_vert_in_other_mesh; }
-        public Point nearest_vert_in_other_mesh() { return nearest_vert_in_other_mesh_count==0 ? partner().p :
-                new Point(nearest_vert_in_other_mesh_x/nearest_vert_in_other_mesh_count, nearest_vert_in_other_mesh_y/nearest_vert_in_other_mesh_count, nearest_vert_in_other_mesh_z/nearest_vert_in_other_mesh_count); }
-        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_vert_in_other_mesh != null) unscore();
-            Vert po = this;
-            if (nearest_vert_in_other_mesh == null) {
-                nearest_vert_in_other_mesh = score_against.nearest(po.p);
-
-                // don't attract to vertices that face the other way
-                if (nearest_vert_in_other_mesh.e == null || nearest_vert_in_other_mesh.norm().dot(norm()) < 0) {
-                    nearest_vert_in_other_mesh = null;
-                } else {
-                    nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_x += po.p.x;
-                    nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_y += po.p.y;
-                    nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_z += po.p.z;
-                    nearest_vert_in_other_mesh.nearest_vert_in_other_mesh_count++;
-                }
+            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();
             }
+            reComputeError();
+        }
 
-            double s1, s2;
-            if (nearest_vert_in_other_mesh_count==0) s1 = 0;
-            else                s1 = p.distance(nearest_vert_in_other_mesh_x/nearest_vert_in_other_mesh_count, nearest_vert_in_other_mesh_y/nearest_vert_in_other_mesh_count, nearest_vert_in_other_mesh_z/nearest_vert_in_other_mesh_count);
-            s2 = nearest_vert_in_other_mesh==null ? 0 : po.p.distance(nearest_vert_in_other_mesh.p);
-            oldscore = (float)(s1 + s2);
+        public void reComputeError() {
+            unComputeError();
+            computeError();
+        }
+        public void unComputeError() {
+            score -= oldscore;
+            oldscore = 0;
+        }
+        public void computeError() {
+            oldscore = quadric_count == 0 ? 0 : (quadric.preAndPostMultiply(p) / quadric_count);
             score += oldscore;
         }
 
         /** does NOT update bound pairs! */
         public boolean transform(Matrix m) {
-            unscore();
+            unApplyQuadricToNeighbor();
             try {
                 if (pointset.get(this.p)==null) throw new Error();
                 pointset.remove(this);
@@ -213,31 +230,34 @@ public class Mesh implements Iterable<Mesh.T> {
             } catch (Exception e) {
                 throw new RuntimeException(e);
             }
-            rescore();
+            applyQuadricToNeighbor();
+
+            // should recompute fundamental quadrics of all vertices sharing a face, but we defer...
+            E e = this.e;
+            do {
+                e.p2.quadricStale = true;
+                e = e.pair.next;
+            } while(e != this.e);
+
+            // FIXME: intersection test needed?
             boolean good = true;
-            /*
-            for(T t : this) {
-                for(E e = this.e; ;) {
-                    if (e.intersects(t)) { good = false; break; }
+            for(T t : Mesh.this) {
+                if (!good) break;
+                e = this.e;
+                do {
+                    if (!t.has(e.p1) && !t.has(e.p2) && e.t != null && e.intersects(t)) { good = false; break; }
                     e = e.pair.next;
-                    if (e == this.e) break;
-                }
+                } while(e != this.e);
             }
-            */
-            /*
-                if (t==this.t) continue;
-                if (this.intersects(t)) good = false;
-            }
-            */
             return good;
         }
+
         public boolean move(Vec v) {
             Matrix m = new Matrix(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;
@@ -275,6 +295,16 @@ public class Mesh implements Iterable<Mesh.T> {
             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 {
@@ -283,7 +313,6 @@ public class Mesh implements Iterable<Mesh.T> {
             } 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 bind(Vert p, Matrix binding) {
@@ -295,14 +324,43 @@ public class Mesh implements Iterable<Mesh.T> {
             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;
+            for (E epeer : e.bind_peers.set) {
+                epeer.bind_peers = this;
+                epeer.bind_to    = bind_others;
+                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);
+                }
+            }
+
+        }
+        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);
+            }
         }
     }
 
@@ -314,22 +372,13 @@ public class Mesh implements Iterable<Mesh.T> {
         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 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) {
@@ -342,7 +391,8 @@ public class Mesh implements Iterable<Mesh.T> {
 
             if (bg1==null) bg1 = new BindingGroup();
             if (bg2==null) bg2 = new BindingGroup();
-            for(E e : bg.es) e.shatter(e.midpoint(), bg1, bg2);
+            bind_peers.shatter(bg1, bg2);
+            bind_to.shatter(bg2.other(), bg1.other());
             pair.shatter();
             destroy();
 
@@ -364,8 +414,12 @@ public class Mesh implements Iterable<Mesh.T> {
             prev.t = null;
             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;
@@ -382,6 +436,7 @@ public class Mesh implements Iterable<Mesh.T> {
             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;