X-Git-Url: http://git.megacz.com/?p=anneal.git;a=blobdiff_plain;f=src%2Fedu%2Fberkeley%2Fqfat%2FMesh.java;h=bbb419ab8777f12a0e10ee56330b45b2b0aaf0e7;hp=46c2200391053ed6b9d5fbc50dd1343daa309908;hb=eee2dd75dbd926b92f63d4c4adb968a58323717e;hpb=9257c9caa1d47949459343139aace021691e7801 diff --git a/src/edu/berkeley/qfat/Mesh.java b/src/edu/berkeley/qfat/Mesh.java index 46c2200..bbb419a 100644 --- a/src/edu/berkeley/qfat/Mesh.java +++ b/src/edu/berkeley/qfat/Mesh.java @@ -14,45 +14,22 @@ public class Mesh implements Iterable { public static final float EPSILON = (float)0.0001; public static final Random random = new Random(); - private PointSet pointset = new PointSet(); - - public Iterable vertices() { return pointset; } - - public Iterable edges() { - return - new Iterable() { - public Iterator iterator() { - // HACK - HashSet hse = new HashSet(); - for(T t : Mesh.this) { - hse.add(t.e1()); - hse.add(t.e2()); - hse.add(t.e3()); - hse.add(t.e1().pair); - hse.add(t.e2().pair); - hse.add(t.e3().pair); - } - return hse.iterator(); - } }; - } + private RTree triangles = new RTree(); + private PointSet vertices = new PointSet(); - public Iterator 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 ts = new HashSet(); + public boolean immutableVertices; + public boolean ignorecollision = false; + public Mesh score_against = null; + public double score = 0; - public Mesh score_against = null; - public double score = 0; + public Mesh(boolean immutableVertices) { this.immutableVertices = immutableVertices; } + + public void makeVerticesImmutable() { this.immutableVertices = true; } public float score() { return (float)score; } - public int numedges = 0; - public float avgedge = 0; + public int size() { return vertices.size(); } + public Iterable vertices() { return vertices; } + public Iterator iterator() { return triangles.iterator(); } public void rebindPoints() { // unbind all points @@ -69,45 +46,18 @@ public class Mesh implements Iterable { } } - public void unApplyQuadricToNeighborAll() { - HashSet done = new HashSet(); - 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 done = new HashSet(); - 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 done = new HashSet(); - for(T t : this) - for(Vert p : new Vert[] { 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 set = new ArrayList(); - for (Vert v : pointset) - set.add(v); - for(Vert v : set) v.transform(m); + ArrayList set = new ArrayList(); + for(Vertex v : vertices) set.add(v); + for(Vertex v : set) v.transform(m); } + public void rebuild() { /*vertices.rebuild();*/ } + public Vec diagonal() { return vertices.diagonal(); } + public Point centroid() { return vertices.centroid(); } + public Vertex nearest(Point p) { return vertices.nearest(p); } + + /** compute the volume of the mesh */ public float volume() { double total = 0; for(T t : this) { @@ -120,24 +70,24 @@ public class Mesh implements Iterable { return (float)total; } - 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 { + // Vertexices ////////////////////////////////////////////////////////////////////////////// + + /** a vertex in the mesh */ + public final class Vertex extends HasPoint implements Visitor { + public String toString() { return p.toString(); } public Point p; E e; // some edge *leaving* this point /** the nearest vertex in the "score_against" mesh */ - Vert nearest_in_other_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; - Vert bound_to = this; - Matrix binding = new Matrix(); + Matrix binding = Matrix.ONE; + Vertex bound_to = this; float oldscore = 0; boolean quadricStale = false; @@ -151,10 +101,10 @@ public class Mesh implements Iterable { return fundamentalQuadric; } - private Vert(Point p) { + private Vertex(Point p) { this.p = p; - if (pointset.get(p) != null) throw new Error(); - pointset.add(this); + if (vertices.get(p) != null) throw new Error(); + vertices.add(this); } private void glNormal(GL gl) { @@ -162,20 +112,27 @@ public class Mesh implements Iterable { gl.glNormal3f(norm.x, norm.y, norm.z); } + public void recomputeFundamentalQuadricIfNeighborChanged() { + Vertex oldv = nearest_in_other_mesh; + Vertex newv = score_against.nearest(p); + if (oldv==newv) return; + recomputeFundamentalQuadric(); + if (oldv!=null) oldv.recomputeFundamentalQuadricIfNeighborChanged(); + //if (newv!=null) newv.recomputeFundamentalQuadricIfNeighborChanged(); + } public void recomputeFundamentalQuadric() { - //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.times(1/(float)count); + 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); + } applyQuadricToNeighbor(); } @@ -194,7 +151,7 @@ public class Mesh implements Iterable { public void applyQuadricToNeighbor() { if (score_against == null) return; - Vert new_nearest = score_against.nearest(p); + 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(); @@ -217,11 +174,8 @@ public class Mesh implements Iterable { public void reComputeErrorAround() { reComputeError(); if (nearest_in_other_mesh != null) nearest_in_other_mesh.reComputeError(); - E e = this.e; - do { + for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) e.p2.reComputeError(); - e = e.pair.next; - } while (e != this.e); } public void reComputeError() { unComputeError(); @@ -232,93 +186,84 @@ public class Mesh implements Iterable { oldscore = 0; } public void computeError() { - if (quadric_count == 0) { - if (nearest_in_other_mesh == null) { - if (score_against != null) { - Vert ne = score_against.nearest(p); - oldscore = ne.fundamentalQuadric().preAndPostMultiply(p) * 100 * 3; - } else { - oldscore = 0; - } - } else { - oldscore = nearest_in_other_mesh.fundamentalQuadric().preAndPostMultiply(p) * 100 * 3; - } - } else { - oldscore = (quadric.preAndPostMultiply(p) * 100) / quadric_count; - } - - oldscore = oldscore*oldscore; - - int numaspects = 0; - float aspects = 0; - E e = this.e; - do { + 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; + 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(); - if (e.t != null) { - numaspects++; - aspects += e.t.aspect()*e.t.aspect(); - } - - if (ang > Math.PI * 0.8) - oldscore += (ang - (Math.PI*0.8)) * 10; - - e = e.pair.next; - } while (e != this.e); - if (numaspects > 0) oldscore += (aspects / numaspects); - - //System.out.println(oldscore); - //oldscore = oldscore*oldscore; + float minangle = (float)(Math.PI * 0.8); + if (ang > minangle) + oldscore += (ang - minangle); + } 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(); + } + 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(); + } + /** does NOT update bound pairs! */ public boolean transform(Matrix m) { + if (immutableVertices) throw new Error(); + unApplyQuadricToNeighbor(); - try { - if (pointset.get(this.p)==null) throw new Error(); - pointset.remove(this); - 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); - pointset.add(this); - } catch (Exception e) { - throw new RuntimeException(e); - } + 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); + 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); + good = true; - // FIXME: intersection test needed? - boolean good = true; - /* - 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); + 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 (!ignorecollision && good) triangles.range(oldp, this.p, (Visitor)this); + reComputeErrorAround(); return good; } + public void visit(T t) { + if (!good) return; + 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 (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; } + } + } + } + private boolean good; + public boolean move(Vec v) { - Matrix m = new Matrix(v); - Vert p = this; + Matrix m = Matrix.translate(v); + Vertex p = this; boolean good = true; do { good &= p.transform(m); @@ -330,58 +275,49 @@ public class Mesh implements Iterable { public E getFreeIncident() { 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); - 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; } public E getE(Point p2) { - Vert v = pointset.get(p2); + Vertex v = vertices.get(p2); if (v==null) return null; return getE(v); } - public E getE(Vert p2) { - E e = this.e; - do { - if (e==null) return null; + public E getE(Vertex p2) { + 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; } 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(Vert p) { - Vert px = p; - do { - if (px==this) return true; - px = px.bound_to; - } while(px != p); + 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 = new Matrix(); } - public void bind(Vert p) { bind(p, new Matrix()); } - public void bind(Vert p, Matrix binding) { + + 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; - Vert temp_bound_to = p.bound_to; + 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 @@ -433,7 +369,7 @@ public class Mesh implements Iterable { /** [UNIQUE] an edge */ public final class E implements Comparable { - public final Vert p1, p2; + public final Vertex p1, p2; T t; // triangle to our "left" E prev; // previous half-edge E next; // next half-edge @@ -442,11 +378,10 @@ public class Mesh implements Iterable { public BindingGroup bind_to = bind_peers.other(); boolean shattered = false; + public boolean intersects(T t) { return t.intersects(p1.p, p2.p); } public float comparator() { - if (t==null) return length(); - if ((length() * length()) / t.area() > 10) - return (float)(length()*Math.sqrt(t.area())); - return length()*t.area(); + Vertex nearest = score_against.nearest(midpoint()); + return (float)Math.max(length(), midpoint().distance(nearest.p)); } public int compareTo(E e) { return e.comparator() > comparator() ? 1 : -1; @@ -459,7 +394,7 @@ public class Mesh implements Iterable { if (shattered || destroyed) return mid; shattered = true; - Vert r = next.p2; + Vertex r = next.p2; E next = this.next; E prev = this.prev; @@ -511,10 +446,6 @@ public class Mesh implements Iterable { pair.next = prev; if (p1.e == this) p1.e = prev.next; if (pair.p1.e == pair) pair.p1.e = pair.prev.next; - avgedge -= this.length(); - avgedge -= pair.length(); - numedges--; - numedges--; } private void sync() { @@ -525,11 +456,7 @@ public class Mesh implements Iterable { 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; - if (!added) { - added = true; - numedges++; - avgedge += length(); - } + if (!added) added = true; } private boolean added = false; @@ -570,10 +497,10 @@ public class Mesh implements Iterable { /** creates an isolated edge out in the middle of space */ public E(Point p1, Point p2) { - if (pointset.get(p1) != null) throw new Error(); - if (pointset.get(p2) != null) throw new Error(); - this.p1 = new Vert(p1); - this.p2 = new Vert(p2); + if (vertices.get(p1) != null) throw new Error(); + if (vertices.get(p2) != null) throw new Error(); + this.p1 = new Vertex(p1); + this.p2 = new Vertex(p2); this.prev = this.next = this.pair = new E(this, this, this); this.p1.e = this; this.p2.e = this.pair; @@ -582,9 +509,9 @@ public class Mesh implements Iterable { /** adds a new half-edge from prev.p2 to p2 */ public E(E prev, Point p) { - Vert p2; - p2 = pointset.get(p); - if (p2 == null) p2 = new Vert(p); + Vertex p2; + p2 = vertices.get(p); + if (p2 == null) p2 = new Vertex(p); this.p1 = prev.p2; this.p2 = p2; this.prev = prev; @@ -613,84 +540,15 @@ public class Mesh implements Iterable { sync(); } public Point midpoint() { return new Point((p1.p.x+p2.p.x)/2, (p1.p.y+p2.p.y)/2, (p1.p.z+p2.p.z)/2); } - public boolean has(Vert v) { return v==p1 || v==p2; } + public boolean has(Vertex v) { return v==p1 || v==p2; } public float length() { return p1.p.minus(p2.p).mag(); } public String toString() { return p1+"->"+p2; } - public boolean intersects(T t) { - double A0=t.v1().p.x, A1=t.v1().p.y, A2=t.v1().p.z; - double B0=t.v2().p.x, B1=t.v2().p.y, B2=t.v2().p.z; - double C0=t.v3().p.x, C1=t.v3().p.y, C2=t.v3().p.z; - double j0=p1.p.x, j1=p1.p.y, j2=p1.p.z; - double k0=p2.p.x, k1=p2.p.y, k2=p2.p.z; - double J0, J1, J2; - double K0, K1, K2; - double i0, i1, i2; - double a0, a1, a2; - double b0, b1, b2; - double c0, c1, c2; - double in_det; - double R00, R01, R02, R03, - R10, R11, R12, R13, - R20, R21, R22, R23, - R30, R31, R32, R33; - - - /* a = B - A */ - a0 = B0 - A0; - a1 = B1 - A1; - a2 = B2 - A2; - /* b = C - B */ - b0 = C0 - A0; - b1 = C1 - A1; - b2 = C2 - A2; - /* c = a × b */ - c0 = a1 * b2 - a2 * b1; - c1 = a2 * b0 - a0 * b2; - c2 = a0 * b1 - a1 * b0; - - /* M^(-1) = (1/det(M)) * adj(M) */ - in_det = 1 / (c0 * c0 + c1 * c1 + c2 * c2); - R00 = (b1 * c2 - b2 * c1) * in_det; - R01 = (b2 * c0 - b0 * c2) * in_det; - R02 = (b0 * c1 - b1 * c0) * in_det; - R10 = (c1 * a2 - c2 * a1) * in_det; - R11 = (c2 * a0 - c0 * a2) * in_det; - R12 = (c0 * a1 - c1 * a0) * in_det; - R20 = (c0) * in_det; - R21 = (c1) * in_det; - R22 = (c2) * in_det; - - /* O = M^(-1) * A */ - R03 = -(R00 * A0 + R01 * A1 + R02 * A2); - R13 = -(R10 * A0 + R11 * A1 + R12 * A2); - R23 = -(R20 * A0 + R21 * A1 + R22 * A2); - - /* fill in last row of 4x4 matrix */ - R30 = R31 = R32 = 0; - R33 = 1; - - J2 = R20 * j0 + R21 * j1 + R22 * j2 + R23; - K2 = R20 * k0 + R21 * k1 + R22 * k2 + R23; - if (J2 * K2 >= 0) return false; - - J0 = R00 * j0 + R01 * j1 + R02 * j2 + R03; - K0 = R00 * k0 + R01 * k1 + R02 * k2 + R03; - i0 = J0 + J2 * ((K0 - J0) / (J2 - K2)); - if (i0 < 0 || i0 > 1) return false; - - J1 = R10 * j0 + R11 * j1 + R12 * j2 + R13; - K1 = R10 * k0 + R11 * k1 + R12 * k2 + R13; - i1 = J1 + J2 * ((K1 - J1) / (J2 - K2)); - if (i1 < 0 || i1 > 1 || i0 + i1 > 1) return false; - - return true; - } } public E makeE(Point p1, Point p2) { - Vert v1 = pointset.get(p1); - Vert v2 = pointset.get(p2); + Vertex v1 = vertices.get(p1); + Vertex v2 = vertices.get(p2); if (v1 != null && v2 != null) { E e = v1.getE(v2); if (e != null) return e; @@ -724,36 +582,16 @@ public class Mesh implements Iterable { } - public class FaceIterator implements Iterator { - private HashSet visited = new HashSet(); - private LinkedList next = new LinkedList(); - public FaceIterator() { } - public FaceIterator(Vert v) { next.addFirst(v.e.t); } - public boolean hasNext() { return next.peek()!=null; } - public void remove() { throw new Error(); } - public T next() { - T ret = next.removeFirst(); - if (ret == null) return null; - visited.add(ret); - T t1 = ret.e1().pair.t; - T t2 = ret.e2().pair.t; - T t3 = ret.e3().pair.t; - if (t1 != null && !visited.contains(t1)) next.addFirst(t1); - if (t2 != null && !visited.contains(t2)) next.addFirst(t2); - if (t3 != null && !visited.contains(t3)) next.addFirst(t3); - 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 destroy() { - ts.remove(this); - } + 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; @@ -778,31 +616,26 @@ public class Mesh implements Iterable { } this.color = color; this.colorclass = colorclass; - ts.add(this); + triangles.add(this); } public E e1() { return e1; } public E e2() { return e1.next; } public E e3() { return e1.prev; } - public Vert v1() { return e1.p1; } - public Vert v2() { return e1.p2; } - public Vert v3() { return e1.next.p2; } + public Vertex v1() { return e1.p1; } + public Vertex v2() { return e1.p2; } + public Vertex v3() { return e1.next.p2; } public Point p1() { return e1.p1.p; } public Point p2() { return e1.p2.p; } 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 boolean has(Vertex 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 shouldBeDrawn() { + 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; } - } + } }