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Use poly2tri for triangulation. This fixes some cases where polyPartition couldn't triangulate successfully. Reported as issue #9 in polyPartition repository. Tested with MotorHalter_0.stl cut at 1.2

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Alessandro Ranellucci 2014-05-01 12:07:11 +02:00
parent 60f640f100
commit edeb0a90dd
19 changed files with 2830 additions and 6 deletions
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365
xs/src/poly2tri/common/shapes.cc Normal file
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/*
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
* http://code.google.com/p/poly2tri/
*
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without modification,
* are permitted provided that the following conditions are met:
*
* * Redistributions of source code must retain the above copyright notice,
* this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
* * Neither the name of Poly2Tri nor the names of its contributors may be
* used to endorse or promote products derived from this software without specific
* prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
* NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "shapes.h"
#include <iostream>
namespace p2t {
Triangle::Triangle(Point& a, Point& b, Point& c)
{
points_[0] = &a; points_[1] = &b; points_[2] = &c;
neighbors_[0] = NULL; neighbors_[1] = NULL; neighbors_[2] = NULL;
constrained_edge[0] = constrained_edge[1] = constrained_edge[2] = false;
delaunay_edge[0] = delaunay_edge[1] = delaunay_edge[2] = false;
interior_ = false;
}
// Update neighbor pointers
void Triangle::MarkNeighbor(Point* p1, Point* p2, Triangle* t)
{
if ((p1 == points_[2] && p2 == points_[1]) || (p1 == points_[1] && p2 == points_[2]))
neighbors_[0] = t;
else if ((p1 == points_[0] && p2 == points_[2]) || (p1 == points_[2] && p2 == points_[0]))
neighbors_[1] = t;
else if ((p1 == points_[0] && p2 == points_[1]) || (p1 == points_[1] && p2 == points_[0]))
neighbors_[2] = t;
else
assert(0);
}
// Exhaustive search to update neighbor pointers
void Triangle::MarkNeighbor(Triangle& t)
{
if (t.Contains(points_[1], points_[2])) {
neighbors_[0] = &t;
t.MarkNeighbor(points_[1], points_[2], this);
} else if (t.Contains(points_[0], points_[2])) {
neighbors_[1] = &t;
t.MarkNeighbor(points_[0], points_[2], this);
} else if (t.Contains(points_[0], points_[1])) {
neighbors_[2] = &t;
t.MarkNeighbor(points_[0], points_[1], this);
}
}
/**
* Clears all references to all other triangles and points
*/
void Triangle::Clear()
{
Triangle *t;
for( int i=0; i<3; i++ )
{
t = neighbors_[i];
if( t != NULL )
{
t->ClearNeighbor( this );
}
}
ClearNeighbors();
points_[0]=points_[1]=points_[2] = NULL;
}
void Triangle::ClearNeighbor(const Triangle *triangle )
{
if( neighbors_[0] == triangle )
{
neighbors_[0] = NULL;
}
else if( neighbors_[1] == triangle )
{
neighbors_[1] = NULL;
}
else
{
neighbors_[2] = NULL;
}
}
void Triangle::ClearNeighbors()
{
neighbors_[0] = NULL;
neighbors_[1] = NULL;
neighbors_[2] = NULL;
}
void Triangle::ClearDelunayEdges()
{
delaunay_edge[0] = delaunay_edge[1] = delaunay_edge[2] = false;
}
Point* Triangle::OppositePoint(Triangle& t, const Point& p)
{
Point *cw = t.PointCW(p);
return PointCW(*cw);
}
// Legalized triangle by rotating clockwise around point(0)
void Triangle::Legalize(Point& point)
{
points_[1] = points_[0];
points_[0] = points_[2];
points_[2] = &point;
}
// Legalize triagnle by rotating clockwise around oPoint
void Triangle::Legalize(Point& opoint, Point& npoint)
{
if (&opoint == points_[0]) {
points_[1] = points_[0];
points_[0] = points_[2];
points_[2] = &npoint;
} else if (&opoint == points_[1]) {
points_[2] = points_[1];
points_[1] = points_[0];
points_[0] = &npoint;
} else if (&opoint == points_[2]) {
points_[0] = points_[2];
points_[2] = points_[1];
points_[1] = &npoint;
} else {
assert(0);
}
}
int Triangle::Index(const Point* p)
{
if (p == points_[0]) {
return 0;
} else if (p == points_[1]) {
return 1;
} else if (p == points_[2]) {
return 2;
}
assert(0);
return -1;
}
int Triangle::EdgeIndex(const Point* p1, const Point* p2)
{
if (points_[0] == p1) {
if (points_[1] == p2) {
return 2;
} else if (points_[2] == p2) {
return 1;
}
} else if (points_[1] == p1) {
if (points_[2] == p2) {
return 0;
} else if (points_[0] == p2) {
return 2;
}
} else if (points_[2] == p1) {
if (points_[0] == p2) {
return 1;
} else if (points_[1] == p2) {
return 0;
}
}
return -1;
}
void Triangle::MarkConstrainedEdge(int index)
{
constrained_edge[index] = true;
}
void Triangle::MarkConstrainedEdge(Edge& edge)
{
MarkConstrainedEdge(edge.p, edge.q);
}
// Mark edge as constrained
void Triangle::MarkConstrainedEdge(Point* p, Point* q)
{
if ((q == points_[0] && p == points_[1]) || (q == points_[1] && p == points_[0])) {
constrained_edge[2] = true;
} else if ((q == points_[0] && p == points_[2]) || (q == points_[2] && p == points_[0])) {
constrained_edge[1] = true;
} else if ((q == points_[1] && p == points_[2]) || (q == points_[2] && p == points_[1])) {
constrained_edge[0] = true;
}
}
// The point counter-clockwise to given point
Point* Triangle::PointCW(const Point& point)
{
if (&point == points_[0]) {
return points_[2];
} else if (&point == points_[1]) {
return points_[0];
} else if (&point == points_[2]) {
return points_[1];
}
assert(0);
return NULL;
}
// The point counter-clockwise to given point
Point* Triangle::PointCCW(const Point& point)
{
if (&point == points_[0]) {
return points_[1];
} else if (&point == points_[1]) {
return points_[2];
} else if (&point == points_[2]) {
return points_[0];
}
assert(0);
return NULL;
}
// The neighbor clockwise to given point
Triangle* Triangle::NeighborCW(const Point& point)
{
if (&point == points_[0]) {
return neighbors_[1];
} else if (&point == points_[1]) {
return neighbors_[2];
}
return neighbors_[0];
}
// The neighbor counter-clockwise to given point
Triangle* Triangle::NeighborCCW(const Point& point)
{
if (&point == points_[0]) {
return neighbors_[2];
} else if (&point == points_[1]) {
return neighbors_[0];
}
return neighbors_[1];
}
bool Triangle::GetConstrainedEdgeCCW(const Point& p)
{
if (&p == points_[0]) {
return constrained_edge[2];
} else if (&p == points_[1]) {
return constrained_edge[0];
}
return constrained_edge[1];
}
bool Triangle::GetConstrainedEdgeCW(const Point& p)
{
if (&p == points_[0]) {
return constrained_edge[1];
} else if (&p == points_[1]) {
return constrained_edge[2];
}
return constrained_edge[0];
}
void Triangle::SetConstrainedEdgeCCW(const Point& p, bool ce)
{
if (&p == points_[0]) {
constrained_edge[2] = ce;
} else if (&p == points_[1]) {
constrained_edge[0] = ce;
} else {
constrained_edge[1] = ce;
}
}
void Triangle::SetConstrainedEdgeCW(const Point& p, bool ce)
{
if (&p == points_[0]) {
constrained_edge[1] = ce;
} else if (&p == points_[1]) {
constrained_edge[2] = ce;
} else {
constrained_edge[0] = ce;
}
}
bool Triangle::GetDelunayEdgeCCW(const Point& p)
{
if (&p == points_[0]) {
return delaunay_edge[2];
} else if (&p == points_[1]) {
return delaunay_edge[0];
}
return delaunay_edge[1];
}
bool Triangle::GetDelunayEdgeCW(const Point& p)
{
if (&p == points_[0]) {
return delaunay_edge[1];
} else if (&p == points_[1]) {
return delaunay_edge[2];
}
return delaunay_edge[0];
}
void Triangle::SetDelunayEdgeCCW(const Point& p, bool e)
{
if (&p == points_[0]) {
delaunay_edge[2] = e;
} else if (&p == points_[1]) {
delaunay_edge[0] = e;
} else {
delaunay_edge[1] = e;
}
}
void Triangle::SetDelunayEdgeCW(const Point& p, bool e)
{
if (&p == points_[0]) {
delaunay_edge[1] = e;
} else if (&p == points_[1]) {
delaunay_edge[2] = e;
} else {
delaunay_edge[0] = e;
}
}
// The neighbor across to given point
Triangle& Triangle::NeighborAcross(const Point& opoint)
{
if (&opoint == points_[0]) {
return *neighbors_[0];
} else if (&opoint == points_[1]) {
return *neighbors_[1];
}
return *neighbors_[2];
}
void Triangle::DebugPrint()
{
using namespace std;
cout << points_[0]->x << "," << points_[0]->y << " ";
cout << points_[1]->x << "," << points_[1]->y << " ";
cout << points_[2]->x << "," << points_[2]->y << endl;
}
}

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/*
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
* http://code.google.com/p/poly2tri/
*
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without modification,
* are permitted provided that the following conditions are met:
*
* * Redistributions of source code must retain the above copyright notice,
* this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
* * Neither the name of Poly2Tri nor the names of its contributors may be
* used to endorse or promote products derived from this software without specific
* prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
* NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
// Include guard
#ifndef SHAPES_H
#define SHAPES_H
#include <vector>
#include <cstddef>
#include <assert.h>
#include <cmath>
namespace p2t {
struct Edge;
struct Point {
double x, y;
/// Default constructor does nothing (for performance).
Point()
{
x = 0.0;
y = 0.0;
}
/// The edges this point constitutes an upper ending point
std::vector<Edge*> edge_list;
/// Construct using coordinates.
Point(double x, double y) : x(x), y(y) {}
/// Set this point to all zeros.
void set_zero()
{
x = 0.0;
y = 0.0;
}
/// Set this point to some specified coordinates.
void set(double x_, double y_)
{
x = x_;
y = y_;
}
/// Negate this point.
Point operator -() const
{
Point v;
v.set(-x, -y);
return v;
}
/// Add a point to this point.
void operator +=(const Point& v)
{
x += v.x;
y += v.y;
}
/// Subtract a point from this point.
void operator -=(const Point& v)
{
x -= v.x;
y -= v.y;
}
/// Multiply this point by a scalar.
void operator *=(double a)
{
x *= a;
y *= a;
}
/// Get the length of this point (the norm).
double Length() const
{
return sqrt(x * x + y * y);
}
/// Convert this point into a unit point. Returns the Length.
double Normalize()
{
const double len = Length();
x /= len;
y /= len;
return len;
}
};
// Represents a simple polygon's edge
struct Edge {
Point* p, *q;
/// Constructor
Edge(Point& p1, Point& p2) : p(&p1), q(&p2)
{
if (p1.y > p2.y) {
q = &p1;
p = &p2;
} else if (p1.y == p2.y) {
if (p1.x > p2.x) {
q = &p1;
p = &p2;
} else if (p1.x == p2.x) {
// Repeat points
assert(false);
}
}
q->edge_list.push_back(this);
}
};
// Triangle-based data structures are know to have better performance than quad-edge structures
// See: J. Shewchuk, "Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator"
// "Triangulations in CGAL"
class Triangle {
public:
/// Constructor
Triangle(Point& a, Point& b, Point& c);
/// Flags to determine if an edge is a Constrained edge
bool constrained_edge[3];
/// Flags to determine if an edge is a Delauney edge
bool delaunay_edge[3];
Point* GetPoint(int index);
Point* PointCW(const Point& point);
Point* PointCCW(const Point& point);
Point* OppositePoint(Triangle& t, const Point& p);
Triangle* GetNeighbor(int index);
void MarkNeighbor(Point* p1, Point* p2, Triangle* t);
void MarkNeighbor(Triangle& t);
void MarkConstrainedEdge(int index);
void MarkConstrainedEdge(Edge& edge);
void MarkConstrainedEdge(Point* p, Point* q);
int Index(const Point* p);
int EdgeIndex(const Point* p1, const Point* p2);
Triangle* NeighborCW(const Point& point);
Triangle* NeighborCCW(const Point& point);
bool GetConstrainedEdgeCCW(const Point& p);
bool GetConstrainedEdgeCW(const Point& p);
void SetConstrainedEdgeCCW(const Point& p, bool ce);
void SetConstrainedEdgeCW(const Point& p, bool ce);
bool GetDelunayEdgeCCW(const Point& p);
bool GetDelunayEdgeCW(const Point& p);
void SetDelunayEdgeCCW(const Point& p, bool e);
void SetDelunayEdgeCW(const Point& p, bool e);
bool Contains(const Point* p);
bool Contains(const Edge& e);
bool Contains(const Point* p, const Point* q);
void Legalize(Point& point);
void Legalize(Point& opoint, Point& npoint);
/**
* Clears all references to all other triangles and points
*/
void Clear();
void ClearNeighbor(const Triangle *triangle);
void ClearNeighbors();
void ClearDelunayEdges();
inline bool IsInterior();
inline void IsInterior(bool b);
Triangle& NeighborAcross(const Point& opoint);
void DebugPrint();
private:
/// Triangle points
Point* points_[3];
/// Neighbor list
Triangle* neighbors_[3];
/// Has this triangle been marked as an interior triangle?
bool interior_;
};
inline bool cmp(const Point* a, const Point* b)
{
if (a->y < b->y) {
return true;
} else if (a->y == b->y) {
// Make sure q is point with greater x value
if (a->x < b->x) {
return true;
}
}
return false;
}
/// Add two points_ component-wise.
inline Point operator +(const Point& a, const Point& b)
{
return Point(a.x + b.x, a.y + b.y);
}
/// Subtract two points_ component-wise.
inline Point operator -(const Point& a, const Point& b)
{
return Point(a.x - b.x, a.y - b.y);
}
/// Multiply point by scalar
inline Point operator *(double s, const Point& a)
{
return Point(s * a.x, s * a.y);
}
inline bool operator ==(const Point& a, const Point& b)
{
return a.x == b.x && a.y == b.y;
}
inline bool operator !=(const Point& a, const Point& b)
{
return !(a.x == b.x) && !(a.y == b.y);
}
/// Peform the dot product on two vectors.
inline double Dot(const Point& a, const Point& b)
{
return a.x * b.x + a.y * b.y;
}
/// Perform the cross product on two vectors. In 2D this produces a scalar.
inline double Cross(const Point& a, const Point& b)
{
return a.x * b.y - a.y * b.x;
}
/// Perform the cross product on a point and a scalar. In 2D this produces
/// a point.
inline Point Cross(const Point& a, double s)
{
return Point(s * a.y, -s * a.x);
}
/// Perform the cross product on a scalar and a point. In 2D this produces
/// a point.
inline Point Cross(double s, const Point& a)
{
return Point(-s * a.y, s * a.x);
}
inline Point* Triangle::GetPoint(int index)
{
return points_[index];
}
inline Triangle* Triangle::GetNeighbor(int index)
{
return neighbors_[index];
}
inline bool Triangle::Contains(const Point* p)
{
return p == points_[0] || p == points_[1] || p == points_[2];
}
inline bool Triangle::Contains(const Edge& e)
{
return Contains(e.p) && Contains(e.q);
}
inline bool Triangle::Contains(const Point* p, const Point* q)
{
return Contains(p) && Contains(q);
}
inline bool Triangle::IsInterior()
{
return interior_;
}
inline void Triangle::IsInterior(bool b)
{
interior_ = b;
}
}
#endif

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/*
* Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
* http://code.google.com/p/poly2tri/
*
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without modification,
* are permitted provided that the following conditions are met:
*
* * Redistributions of source code must retain the above copyright notice,
* this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
* * Neither the name of Poly2Tri nor the names of its contributors may be
* used to endorse or promote products derived from this software without specific
* prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
* NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#ifndef UTILS_H
#define UTILS_H
// Otherwise #defines like M_PI are undeclared under Visual Studio
#define _USE_MATH_DEFINES
#include <exception>
#include <math.h>
namespace p2t {
const double PI_3div4 = 3 * M_PI / 4;
const double PI_div2 = 1.57079632679489661923;
const double EPSILON = 1e-12;
enum Orientation { CW, CCW, COLLINEAR };
/**
* Forumla to calculate signed area<br>
* Positive if CCW<br>
* Negative if CW<br>
* 0 if collinear<br>
* <pre>
* A[P1,P2,P3] = (x1*y2 - y1*x2) + (x2*y3 - y2*x3) + (x3*y1 - y3*x1)
* = (x1-x3)*(y2-y3) - (y1-y3)*(x2-x3)
* </pre>
*/
Orientation Orient2d(const Point& pa, const Point& pb, const Point& pc)
{
double detleft = (pa.x - pc.x) * (pb.y - pc.y);
double detright = (pa.y - pc.y) * (pb.x - pc.x);
double val = detleft - detright;
if (val > -EPSILON && val < EPSILON) {
return COLLINEAR;
} else if (val > 0) {
return CCW;
}
return CW;
}
/*
bool InScanArea(Point& pa, Point& pb, Point& pc, Point& pd)
{
double pdx = pd.x;
double pdy = pd.y;
double adx = pa.x - pdx;
double ady = pa.y - pdy;
double bdx = pb.x - pdx;
double bdy = pb.y - pdy;
double adxbdy = adx * bdy;
double bdxady = bdx * ady;
double oabd = adxbdy - bdxady;
if (oabd <= EPSILON) {
return false;
}
double cdx = pc.x - pdx;
double cdy = pc.y - pdy;
double cdxady = cdx * ady;
double adxcdy = adx * cdy;
double ocad = cdxady - adxcdy;
if (ocad <= EPSILON) {
return false;
}
return true;
}
*/
bool InScanArea(const Point& pa, const Point& pb, const Point& pc, const Point& pd)
{
double oadb = (pa.x - pb.x)*(pd.y - pb.y) - (pd.x - pb.x)*(pa.y - pb.y);
if (oadb >= -EPSILON) {
return false;
}
double oadc = (pa.x - pc.x)*(pd.y - pc.y) - (pd.x - pc.x)*(pa.y - pc.y);
if (oadc <= EPSILON) {
return false;
}
return true;
}
}
#endif