import edu.berkeley.qfat.geom.Point;
import com.infomatiq.jsi.IntProcedure;
+// EDGES RUN COUNTER-CLOCKWISE
+
public class Mesh implements Iterable<Mesh.T> {
public static final float EPSILON = (float)0.0001;
private RTree<T> triangles = new RTree<T>();
private PointSet<Vertex> vertices = new PointSet<Vertex>();
+ public boolean option_wireframe = false;
+ public boolean option_errorNormals = false;
+ public boolean option_selectable = true;
+
+ public void render(GL gl, Matrix m) {
+ if (option_wireframe) {
+ gl.glDisable(GL.GL_LIGHTING);
+ gl.glBegin(GL.GL_LINES);
+ gl.glColor3f(1, 1, 1);
+ for (T t : this) {
+ m.times(t.e1().p1.goodp).glVertex(gl);
+ m.times(t.e1().p2.goodp).glVertex(gl);
+ m.times(t.e2().p1.goodp).glVertex(gl);
+ m.times(t.e2().p2.goodp).glVertex(gl);
+ m.times(t.e3().p1.goodp).glVertex(gl);
+ m.times(t.e3().p2.goodp).glVertex(gl);
+ }
+ gl.glEnd();
+ gl.glEnable(GL.GL_LIGHTING);
+ return;
+ }
+ for(T t : this) {
+ gl.glColor4f((float)(0.25+(0.05*t.color)),
+ (float)(0.25+(0.05*t.color)),
+ (float)(0.75+(0.05*t.color)),
+ (float)0.3);
+ if (t.red) {
+ gl.glColor4f((float)(0.75+(0.05*t.color)),
+ (float)(0.25+(0.05*t.color)),
+ (float)(0.25+(0.05*t.color)),
+ (float)0.3);
+ }
+ t.glTriangle(gl, m);
+ }
+ if (option_errorNormals)
+ for(T t : this)
+ for(Mesh.Vertex p : new Mesh.Vertex[] { t.v1(), t.v2(), t.v3() }) {
+ if (p.ok) {
+ gl.glBegin(GL.GL_LINES);
+ gl.glColor3f(1, 1, 1);
+ p.p.glVertex(gl);
+ p.p.plus(p.norm().times((float)p.error()*10)).glVertex(gl);
+ gl.glEnd();
+ }
+ }
+ }
+
public boolean immutableVertices;
public Mesh error_against = null;
public double error = 0;
}
+ public void subdivide() {
+ for (Vertex v : vertices()) v.original = true;
+ HashSet<E> edges = new HashSet<E>();
+ HashSet<E> flip = new HashSet<E>();
+ HashSet<T> tris = new HashSet<T>();
+ int count = 0;
+ for (T t : this) {
+ tris.add(t);
+ edges.add(t.e1());
+ edges.add(t.e2());
+ edges.add(t.e3());
+ count++;
+ }
+ System.out.println("triangles="+count);
+ count = 0;
+ for(E e : edges) {
+ if (e.destroyed || e.shattered) continue;
+ e.shatter().edge = true;
+ for(E ex : (Iterable<E>)e.getBoundPeers()) {
+ Vertex m = nearest(ex.midpoint());
+ m.edge = true;
+ E e3 = ex.p1.getE(m).next;
+ if (e3.p2.original)
+ flip.add(e3);
+ }
+ }
+
+ int i=0;
+ for(E e : flip) {
+ e.flip();
+ System.out.println("flip!");
+ i++;
+ //if (i>2) break;
+ }
+ System.out.println("count="+count);
+ /*
+ for (E e : flip) {
+ if (e.p1.original && !e.p2.face && !e.p2.original) e.flip();
+ else if (e.p2.original && !e.p1.face && !e.p1.original) e.flip();
+ }
+ HashSet<Vertex> verts = new HashSet<Vertex>();
+ for(Vertex v : vertices()) verts.add(v);
+ for(Vertex v : verts) {
+ if (!v.face) continue;
+ //v.move(v.recenter().minus(v.getPoint()), false);
+ }
+ */
+
+ /*
+ Queue<T> q = new LinkedList<T>();
+ OUTER: while(true) {
+ for (T t : this) {
+ if (t.old) { t.shatter(); continue OUTER; }
+ }
+ break;
+ }
+ */
+ /*
+ for (Vertex v : vertices())
+ clearWish();
+ for (Vertex v : vertices()) {
+
+ }
+ for (Vertex v : vertices())
+ grantWish();
+ */
+ }
+
// Vertexices //////////////////////////////////////////////////////////////////////////////
/** a vertex in the mesh */
public Point oldp;
E e; // some edge *leaving* this point
+ public boolean original = false;
+ public boolean edge = false;
+ public boolean face = false;
+
private boolean illegal = false;
+ public boolean visible = false;
+
public Point getPoint() { return p; }
public float error() { return olderror; }
for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) e.t.reinsert();
}
+ // the average of all adjacent points
+ public Point recenter() {
+ int count = 0;
+ Vec vec = Vec.ZERO;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
+ vec = vec.plus(e.getOther(this).getPoint().minus(Point.ZERO));
+ count++;
+ }
+ return Point.ZERO.plus(vec.div(count));
+ }
+
public float olderror = 0;
public void setError(float nerror) {
error -= olderror;
error += olderror;
}
+ /*
+ public Vertex hack(GL gl, Point mouse) {
+ double dist = Double.MAX_VALUE;
+ Vertex cur = null;
+ for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
+ Vertex v = e.getOther(this);
+ double dist2 = v.getPoint().glProject(gl).distance(mouse);
+ if ((cur==null || dist2 < dist) && v.visible) {
+ dist = dist2;
+ cur = v;
+ }
+ }
+ return cur;
+ }
+ */
+
public float averageTriangleArea() {
int count = 0;
float ret = 0;
m = m.plus(e.t.norm().fundamentalQuadric(e.t.centroid()));
count++;
}
+ if (count > 0) {
+ m = m.plus(norm().fundamentalQuadric(this.p).times(count));
+ count *= 2;
+ }
return m.times(1/(float)count);
}
public HasQuadric nearest() { return error_against==null ? null : error_against.vertices.nearest(p, this); }
public void computeError() {
if (error_against==null) return;
+ if (nearest_in_other_mesh == null && nearest()==null) return;
float nerror =
nearest_in_other_mesh != null
? nearest_in_other_mesh.fundamentalQuadric().preAndPostMultiply(p)
if (quadric_count != 0)
nerror = (nerror + quadric.preAndPostMultiply(p))/(quadric_count+1);
- if (!immutableVertices && quadric_count == 0)
- nerror *= 2;
+ if (!immutableVertices && quadric_count == 0) {
+ //nerror = Math.max(nerror, 0.4f);
+ //nerror *= 2;
+ }
//System.out.println(nerror);
for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
double ang = e.dihedralAngle();
if (ang > Math.PI) throw new Error();
if (ang < -Math.PI) throw new Error();
- //float minangle = (float)(Math.PI * 0.8);
- nerror += ((ang / Math.PI)*(ang/Math.PI)) * e.length() * 0.05;
+ float minangle = (float)(Math.PI * 0.8);
+ //nerror += ((ang / Math.PI)*(ang/Math.PI)) * e.length() * 0.05;
+
+ nerror += (1-e.t.quality())*0.0001;
+ if (ang > minangle) nerror += (ang - minangle);
+
//System.out.println(((ang / Math.PI)*(ang/Math.PI)) * 0.000001);
- //if (ang > minangle) nerror += (ang - minangle);
/*
if (e.t.aspect() < 0.2) {
nerror += (0.2-e.t.aspect()) * 10;
}
*/
}
+ if (!immutableVertices) {
+ Vertex n = (Vertex)nearest();
+ float d = norm().dot(n.norm());
+ if (d > 1 || d < -1) throw new Error();
+ if (d >= 0) {
+ nerror *= (2.0f - d);
+ } else {
+ nerror += 0.0003 * (2.0f + d);
+ nerror *= (2.0f + d);
+ }
+ }
setError(nerror);
}
- public boolean move(Matrix m, boolean ignoreProblems) {
+ public boolean move(Vec vv, boolean ignoreProblems) {
+
boolean good = true;
// t1' = M * t1
// M * t1 = M * t1.getMatrix(t2) * t2
if (bindingGroup!=null && this != bindingGroup.getMaster()) {
- Matrix v = getBindingMatrix(bindingGroup.getMaster());
- return ((Vertex)bindingGroup.getMaster()).move(v.inverse().times(m).times(v), ignoreProblems);
+ Matrix m2 = getBindingMatrix(bindingGroup.getMaster());
+ Vec v2 = m2.times(vv.plus(getPoint())).minus(m2.times(getPoint()));
+ return ((Vertex)bindingGroup.getMaster()).move(v2, ignoreProblems);
}
+ Point op = this.p;
+ Point pp = vv.plus(getPoint());
if (bindingGroup != null) {
- Matrix m2 = null;
- for(int i=0; i<20 && !m.equals(m2); i++) {
- m2 = m.times(getConstraint());
+ /*
+ for(int i=0; i<20 ; i++) {
+ Point p2 = getConstraint().times(pp);
+ pp = pp.midpoint(p2);
//System.out.println(m.minus(m2));
}
- if (!m.equals(m2)) return true;
+ */
+ //pp = getConstraint().times(pp);
}
-
- Point op = this.p;
- Point pt = m.times(this.p);
+ //pp = pp.minus(op).norm().times(vv.mag()).plus(op);
+ ok = false;
+ Point pt = pp;
for(Vertex v : (Iterable<Vertex>)getBoundPeers()) {
Point pt2 = v.getBindingMatrix(this).times(pt);
/*
v.recomputeFundamentalQuadricIfNeighborChanged();
for(Vertex v : (Iterable<Vertex>)getBoundPeers())
v.reComputeErrorAround();
+ ok = true;
return good;
}
+ public boolean ok = true;
/** does NOT update bound pairs! */
private boolean transform(Point newp, boolean ignoreProblems, Matrix yes) {
unApplyQuadricToNeighbor();
-
boolean illegalbefore = illegal;
illegal = false;
/*
return !illegal;
}
+ public E getEdge() { return e; }
public E getFreeIncident() {
E ret = getFreeIncident(e, e);
if (ret != null) return ret;
return getE(v);
}
public E getE(Vertex p2) {
- for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
+ if (this.e!=null && this!=this.e.p1 && this!=this.e.p2) throw new RuntimeException();
+ int i=0;
+ 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;
+ i++;
+ e.sanity();
+ if (e.destroyed) throw new RuntimeException();
+ }
return null;
}
/** [UNIQUE] an edge */
public final class E extends HasBindingGroup implements Comparable<E> {
+ public void sanity() {
+ if (destroyed) return;
+ if (pair!=null && (pair.p1!=p2 || pair.p2!=p1)) throw new RuntimeException();
+ if (next!=null && next.p1!=p2) throw new RuntimeException();
+ if (prev!=null && prev.p2!=p1) throw new RuntimeException();
+ }
+
public final Vertex p1, p2;
T t; // triangle to our "left"
E prev; // previous half-edge
public boolean intersects(T t) { return t.intersects(p1.p, p2.p); }
+ public Segment getSegment() { return new Segment(p1.getPoint(), p2.getPoint()); }
+
+ public void flip() {
+ // FIXME: coplanarity check needed
+ if (destroyed) return;
+ for (E e : (Iterable<E>)getBoundPeers()) {
+ if (!e.pair.isBoundTo(pair)) throw new RuntimeException("cannot flip!");
+ }
+ Vertex v1 = t.getOtherVertex(this);
+ Vertex v2 = pair.t.getOtherVertex(pair);
+ destroy();
+ pair.destroy();
+ newT(v1, v2, p2).red = true;
+ newT(v2, v1, p1).red = true;
+ for (E e : (Iterable<E>)getBoundPeers()) {
+ if (e.destroyed) continue;
+ Vertex v1e = e.t.getOtherVertex(e);
+ Vertex v2e = e.pair.t.getOtherVertex(e.pair);
+ e.destroy();
+ e.pair.destroy();
+ if (v1e.getE(v2e)!=null) throw new RuntimeException();
+ newT(v1e, v2e, e.p2).red = true;
+ newT(v2e, v1e, e.p1).red = true;
+ makeE(v1.getPoint(),
+ v2.getPoint()).bindTo(this.getBindingMatrix(e), makeE(v1e.getPoint(), v2e.getPoint()));
+ makeE(v2.getPoint(),
+ v1.getPoint()).bindTo(pair.getBindingMatrix(e.pair), makeE(v2e.getPoint(), v1e.getPoint()));
+
+ }
+ }
+
public void bindingGroupChanged(edu.berkeley.qfat.geom.BindingGroup newBindingGroup_) {
edu.berkeley.qfat.geom.BindingGroup<E> newBindingGroup =
if (!next.isBoundTo(eother.pair.prev.pair) && prev.isBoundTo(eother.pair.next.pair))
next.bindTo(prev.getBindingMatrix(eother.pair.next.pair), eother.pair.prev.pair);
+ /*
+ if (next.isBoundTo(eother.prev) && !prev.isBoundTo(eother.next))
+ prev.bindTo(next.getBindingMatrix(eother.prev), eother.next);
+ if (!next.isBoundTo(eother.prev) && prev.isBoundTo(eother.next))
+ next.bindTo(prev.getBindingMatrix(eother.next), eother.prev);
+ */
if (next.isBoundTo(eother.next) && !prev.isBoundTo(eother.prev))
prev.bindTo(next.getBindingMatrix(eother.next), eother.prev);
if (!next.isBoundTo(eother.next) && prev.isBoundTo(eother.prev))
}
public float comparator() {
return length();
- //return t==null?0:(1/t.aspect());
}
public int compareTo(E e) {
return e.comparator() > comparator() ? 1 : -1;
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 Point shatter() {
- if (shattered || destroyed) return null;
+ public Vertex shatter() {
+ if (shattered || destroyed) return nearest(midpoint());
shattered = true;
E first = null;
E firste = null;
first.setConstraint(firste.getConstraint());
firstq.setConstraint(firste.getConstraint());
*/
- return null;
+ return nearest(midpoint());
}
public boolean destroyed = false;
pair.next.t = null;
pair.prev.t = null;
+ if (next.destroyed) throw new RuntimeException();
+ if (prev.destroyed) throw new RuntimeException();
pair.prev.next = next;
next.prev = pair.prev;
prev.next = pair.next;
pair.next = prev;
+
if (p1.e == this) p1.e = prev.next;
if (pair.p1.e == pair) pair.p1.e = pair.prev.next;
+ if (p2.e == this) throw new RuntimeException();
+ if (pair.p2.e == pair) throw new RuntimeException();
+
+ sanity();
+ next.sanity();
+ prev.sanity();
+ pair.sanity();
}
private void sync() {
return Math.acos(v1.norm().dot(v2.norm()));
}
+ public Vertex getOther(Vertex v) {
+ if (this.p1 == v) return p2;
+ if (this.p2 == v) return p1;
+ throw new Error();
+ }
+
public void makeAdjacent(E e) {
if (this.next == e) return;
- if (p2 != e.p1) throw new Error("cannot make adjacent -- no shared vertex");
- if (t != null || e.t != null) throw new Error("cannot make adjacent -- edges not both free ");
+ if (p2 != e.p1) throw new Error("cannot make adjacent -- no shared vertex: " + this + " " + e);
+ if (t != null || e.t != null) throw new Error("cannot make adjacent -- edges not both free " + t + " " + e.t);
E freeIncident = p2.getFreeIncident(e, this);
this.p1 = prev.p2;
this.p2 = p2;
this.prev = prev;
+ if (prev.destroyed) throw new RuntimeException();
if (p2.getE(p1) != null) throw new Error();
if (p2.e==null) {
this.next = this.pair = new E(this, this, prev.next);
public E(E prev, E pair, E next) {
this.p1 = prev.p2;
this.p2 = next.p1;
+ if (prev.destroyed) throw new RuntimeException();
this.prev = prev;
this.next = next;
this.pair = pair;
private static float round(float f) {
return Math.round(f*1000)/1000f;
}
+ public T newT(HasPoint p1, HasPoint p2, HasPoint p3) {
+ return newT(p1.getPoint(), p2.getPoint(), p3.getPoint(), null, 0);
+ }
public T newT(Point p1, Point p2, Point p3, Vec norm, int colorclass) {
if (coalesce) {
return ret;
}
+ private int max_serial = 0;
/** [UNIQUE] a triangle (face) */
public final class T extends Triangle {
public final E e1;
public final int color;
public final int colorclass;
+ public boolean red = false;
+ public boolean old = false;
+
+ public final int serial = max_serial++;
+ public boolean occluded;
+
+ public Point shatter() {
+ if (destroyed) return null;
+ E e = e1();
+
+ HashSet<E> forward = new HashSet<E>();
+ HashSet<E> backward = new HashSet<E>();
+ HashSet<E> both = new HashSet<E>();
+
+ for(E eb : (Iterable<E>)e.getBoundPeers()) {
+ if (eb==e) continue;
+ if (eb.next.isBoundTo(e.next) && eb.prev.isBoundTo(e.prev)) {
+ forward.add(eb);
+ both.add(eb);
+ }
+ if (eb.pair.next.pair.isBoundTo(e.prev) && eb.pair.prev.pair.isBoundTo(e.next)) {
+ backward.add(eb.pair);
+ both.add(eb.pair);
+ }
+ }
+
+ Vertex v1 = e.t.v1();
+ Vertex v2 = e.t.v2();
+ Vertex v3 = e.t.v3();
+ Point c = e.t.centroid();
+ E e_next = e.next;
+ E e_prev = e.prev;
+ e.t.destroy();
+ newT(v1, v2, c);
+ newT(c, v2, v3);
+ newT(v3, v1, c);
+
+ // FIXME: forward too
+ for(E ex : backward) {
+ Vertex v1x = ex.t.v1();
+ Vertex v2x = ex.t.v2();
+ Vertex v3x = ex.t.v3();
+ Point cx = ex.t.centroid();
+ E ex_next = ex.next;
+ E ex_prev = ex.prev;
+ ex.t.destroy();
+ newT(v1x, v2x, cx);
+ newT(cx, v2x, v3x);
+ newT(v3x, v1x, cx);
+
+ // FIXME: i have no idea if this is right
+ e.next.bindTo(e.getBindingMatrix(ex.pair), ex.prev);
+ e.prev.bindTo(e.getBindingMatrix(ex.pair), ex.next);
+ e.next.pair.bindTo(e.getBindingMatrix(ex.pair), ex.prev.pair);
+ e.prev.pair.bindTo(e.getBindingMatrix(ex.pair), ex.next.pair);
+
+ e_next.next.bindTo(e_next.getBindingMatrix(ex_prev.pair), ex_prev.prev.pair);
+ e_next.prev.bindTo(e_next.getBindingMatrix(ex_prev.pair), ex_prev.next.pair);
+
+ e_prev.next.bindTo(e_prev.getBindingMatrix(ex_next.pair), ex_next.prev.pair);
+ e_prev.prev.bindTo(e_prev.getBindingMatrix(ex_next.pair), ex_next.next.pair);
+ }
+
+ /*
+
+ E first = null;
+ E firste = null;
+ E firstx = null;
+ E firstq = null;
+ for(E e : (Iterable<E>)getBoundPeers()) {
+ E enext = e.next;
+ E eprev = e.prev;
+ E pnext = e.pair.next;
+ E pprev = e.pair.prev;
+ Point mid = e.midpoint();
+ Vertex r = e.next.p2;
+ Vertex l = e.pair.next.p2;
+ if (!e.destroyed) {
+ e.destroy();
+ e.pair.destroy();
+ newT(r.p, e.p1.p, mid, null, 0);
+ newT(r.p, mid, e.p2.p, null, 0);
+ newT(l.p, mid, e.p1.p, null, 0);
+ newT(l.p, e.p2.p, mid, null, 0);
+ }
+ }
+ for(E e : (Iterable<E>)getBoundPeers()) {
+ Point mid = e.midpoint();
+ if (first==null) {
+ first = e.p1.getE(mid);
+ firste = e;
+ firstx = e.pair;
+ firstq = e.p2.getE(mid).pair;
+ continue;
+ }
+ e.p1.getE(mid). bindTo(e.getBindingMatrix(firste), first);
+ e.p1.getE(mid).pair. bindTo(e.getBindingMatrix(firste), first.pair);
+ e.p2.getE(mid).pair. bindTo(e.getBindingMatrix(firste), firstq);
+ e.p2.getE(mid).pair.pair.bindTo(e.getBindingMatrix(firste), firstq.pair);
+ }
+ */
+ /*
+ first.setConstraint(firste.getConstraint());
+ firstq.setConstraint(firste.getConstraint());
+ */
+ return null;
+ }
+
+
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 Vertex getOtherVertex(E e) {
+ if (!hasE(e)) throw new RuntimeException();
+ if (!e.has(v1())) return v1();
+ if (!e.has(v2())) return v2();
+ if (!e.has(v3())) return v3();
+ throw new RuntimeException();
+ }
+
public void removeFromRTree() { triangles.remove(this); }
public void addToRTree() { triangles.insert(this); }
- public void destroy() { triangles.remove(this); }
+ public void destroy() {
+ if (e1 != null) {
+ e1.t = null;
+ e1.next.t = null;
+ e1.prev.t = null;
+ }
+ triangles.remove(this);
+ destroyed = true;
+ }
public void reinsert() { triangles.remove(this); triangles.add(this); }
+ private boolean destroyed = false;
+ public boolean destroyed() { return destroyed; }
+
public boolean shouldBeDrawn() {
if (e1().bindingGroupSize() <= 1) return false;
return true;
}
+ public void glTriangle(GL gl, Matrix m) {
+ gl.glPushName(serial);
+ gl.glBegin(GL.GL_TRIANGLES);
+ glVertices(gl, m);
+ gl.glEnd();
+ gl.glPopName();
+ }
+
/** issue gl.glVertex() for each of the triangle's points */
- public void glVertices(GL gl) {
+ public void glVertices(GL gl, Matrix m) {
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);
+ super.glVertices(gl, m);
}
-
}
}