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);
+ 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;
ArrayList<Vertex> set = new ArrayList<Vertex>();
for(Vertex v : vertices) set.add(v);
for(Vertex v : set) v.transform(m.times(v.p), true, null);
+ for(Vertex v : set) v.goodp = v.p;
}
public void rebuild() { /*vertices.rebuild();*/ }
}
+ public void subdivide() {
+ for (T t : this) t.old = true;
+ for (Vertex v : vertices()) v.original = true;
+ Queue<T> q = new LinkedList<T>();
+ OUTER: while(true) {
+ for (T t : this) {
+ if (t.old) { t.shatter(); continue OUTER; }
+ }
+ break;
+ }
+ /*
+ while(q.size()>0) {
+ T t = q.remove();
+ if (!t.old || t.destroyed()) continue;
+ E te = t.e1;
+ T to = t.e1.pair.t;
+ if (!t
+ q.add(t.e1().pair.t);
+ q.add(t.e2().pair.t);
+ q.add(t.e3().pair.t);
+ q.add(to.e1().pair.t);
+ q.add(to.e2().pair.t);
+ q.add(to.e3().pair.t);
+ Point p = te.midpoint();
+ Point c = t.centroid();
+ Vertex v1 = t.getOtherVertex(te);
+ Vertex v2 = te.pair.t.getOtherVertex(te.pair);
+ System.out.println("shatter " + te);
+ te.shatter();
+ Vertex v = nearest(p);
+ v.move(c.minus(v.getPoint()), false);
+ v.edge = true;
+ v1.getE(p).shatter();
+ v2.getE(p).shatter();
+ }
+ */
+ /*
+ 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;
+
private boolean illegal = false;
+ public boolean visible = false;
+
public Point getPoint() { return p; }
public float error() { return olderror; }
private Vertex(Point p) {
this.p = p;
this.goodp = p;
+ this.oldp = p;
if (vertices.get(p) != null) throw new Error();
vertices.add(this);
}
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 = Math.abs(e.dihedralAngle());
+ 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;
+
+ 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 (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
// t2' = t2.getMatrix(t1) * M * t1
// t1 = t1.getMatrix(t2) * t2
// 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(bindingGroup.krank);
+ /*
+ 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);
/*
throw new Error(v.p+" "+pt2+"\n"+op+" "+pt+"\n"+v.getBindingMatrix(this));
if (Math.abs( v.p.minus(pt2).mag() / pt.minus(op).mag() ) < 1/5) throw new Error();
*/
- good &= v.transform(pt2,
- ignoreProblems, v.getBindingMatrix(this));
+ good &= v.transform(pt2, ignoreProblems, v.getBindingMatrix(this));
+ }
+
+ if (!good && !ignoreProblems) {
+ for(Vertex v : (Iterable<Vertex>)getBoundPeers())
+ v.transform(v.oldp, true, null);
}
for(Vertex v : (Iterable<Vertex>)getBoundPeers())
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;
- if (this.p.minus(newp).mag() > 0.1 && !ignoreProblems) {
/*
+ if (this.p.minus(newp).mag() > 0.1 && !ignoreProblems) {
try {
throw new Exception(""+this.p.minus(newp).mag()+" "+ignoreProblems+" "+yes);
} catch(Exception e) {
e.printStackTrace();
}
- */
illegal = true;
}
+ */
this.p = newp;
reinsert();
}
for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next)
e.p2.quadricStale = true;
- return !illegal;
+ return !illegal || (illegalbefore && illegal);
}
public void checkLegality() {
+ /*
for(E e = this.e; e!=null; e=e.pair.next==this.e?null:e.pair.next) {
if (Math.abs(e.dihedralAngle()) > (Math.PI * 0.9) ||
Math.abs(e.next.dihedralAngle()) > (Math.PI * 0.9)) illegal = true;
if (e.t.aspect() < 0.2) illegal = true;
}
+ */
if (!illegal) triangles.range(oldp, this.p, (Visitor<T>)this);
}
return !illegal;
}
+ public E getEdge() { return e; }
public E getFreeIncident() {
E ret = getFreeIncident(e, e);
if (ret != null) return ret;
public boolean intersects(T t) { return t.intersects(p1.p, p2.p); }
+ public Segment getSegment() { return new Segment(p1.getPoint(), p2.getPoint()); }
+
public void bindingGroupChanged(edu.berkeley.qfat.geom.BindingGroup newBindingGroup_) {
edu.berkeley.qfat.geom.BindingGroup<E> newBindingGroup =
for(E eother : nbg) {
if (next==null || prev==null) continue;
if (eother.next==null || eother.prev==null) continue;
+
if (next.isBoundTo(eother.pair.prev.pair) && !prev.isBoundTo(eother.pair.next.pair))
prev.bindTo(next.getBindingMatrix(eother.pair.prev.pair), eother.pair.next.pair);
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);
}
if (e==this) continue;
p1.bindTo(getBindingMatrix(e), e.p1);
p2.bindTo(getBindingMatrix(e), e.p2);
+ e.p1.setConstraint(getConstraint());
+ e.p2.setConstraint(getConstraint());
}
}
Point mid = e.midpoint();
Vertex r = e.next.p2;
Vertex l = e.pair.next.p2;
- 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);
+ 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();
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;
}
public double dihedralAngle() {
Vec v1 = t.norm().times(-1);
Vec v2 = pair.t.norm().times(-1);
- return Math.acos(v1.norm().dot(v2.norm()));
+ double prod = v1.norm().dot(v2.norm());
+ prod = Math.min(1,prod);
+ prod = Math.max(-1,prod);
+ double ret = Math.acos(prod);
+ if (Double.isNaN(ret)) throw new Error("nan! " + prod);
+ return ret;
}
/** angle between this half-edge and the next */
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");
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 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);
}
-
}
}