source: src/tesselationhelpers.hpp@ 86cff86

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Last change on this file since 86cff86 was b32dbb, checked in by Frederik Heber <heber@…>, 15 years ago

Fixes and changes to tesselation and concavity measurements.

Here, we implement two attempts for a concavity measure:

  1. Measure concavity per point by looking at neighbouring triangles
    • BoundaryLineSet::CheckConvexityCriterion() split up (calculation of angle outsourced to CalculateConvexity())
    • CHANGE: CalculateConcavityPerBoundaryPoint() uses new concavity measure per BoundaryPointSet containing:
      • concavity per line uses angle instead of +/-1 for line, averaged by number of lines
      • also concavity over all attached triangles uses area of triangle and only in case of concavity, averaged by total area
    • new functions
      • BoundaryLineSet::CalculateConvexity() - calculates the angle between two triangles.
      • BoundaryLineSet::GetOtherTriangle() - for a closed line returns the other triangle for a given one
      • BoundaryTriangleSet::GetThirdLine() - for a given boundary point returns the line of the three which does not contain it (opposite line to a point)
      • CalculateAreaofGeneralTriangle() - calculates area of arbitrary triangle
  1. Measure concavity by the distance to a more convex envelope (i.e. created with bigger sphere radius)

Other unrelated stuff:

Signed-off-by: Frederik Heber <heber@…>
  • Property mode set to 100644
File size: 4.1 KB
Line 
1/*
2 * TesselationHelpers.hpp
3 *
4 * Auxiliary functions for the tesselation.
5 *
6 * Created on: Aug 3, 2009
7 * Author: heber
8 */
9
10#ifndef TESSELATIONHELPERS_HPP_
11#define TESSELATIONHELPERS_HPP_
12
13using namespace std;
14
15/*********************************************** includes ***********************************/
16
17// include config.h
18#ifdef HAVE_CONFIG_H
19#include <config.h>
20#endif
21
22#include <gsl/gsl_linalg.h>
23#include <gsl/gsl_matrix.h>
24#include <gsl/gsl_multimin.h>
25#include <gsl/gsl_permutation.h>
26#include <gsl/gsl_vector.h>
27
28#include <iostream>
29
30#include "defs.hpp"
31
32/****************************************** forward declarations *****************************/
33
34class BoundaryPointSet;
35class BoundaryLineSet;
36class BoundaryTriangleSet;
37class LinkedCell;
38class TesselPoint;
39class PointCloud;
40class Tesselation;
41class Vector;
42
43/********************************************** definitions *********************************/
44
45#define HULLEPSILON 1e-9 //!< TODO: Get rid of HULLEPSILON, points to numerical instabilities
46
47/********************************************** declarations *******************************/
48
49double DetGet(gsl_matrix * const A, const int inPlace);
50void GetSphere(Vector * const Center, const Vector &a, const Vector &b, const Vector &c, const double RADIUS);
51void GetCenterOfSphere(Vector* const Center, const Vector &a, const Vector &b, const Vector &c, Vector * const NewUmkreismittelpunkt, const Vector* const Direction, const Vector* const AlternativeDirection, const double HalfplaneIndicator, const double AlternativeIndicator, const double alpha, const double beta, const double gamma, const double RADIUS, const double Umkreisradius);
52void GetCenterofCircumcircle(Vector * const Center, const Vector &a, const Vector &b, const Vector &c);
53double GetPathLengthonCircumCircle(const Vector &CircleCenter, const Vector &CirclePlaneNormal, const double CircleRadius, const Vector &NewSphereCenter, const Vector &OldSphereCenter, const Vector &NormalVector, const Vector &SearchDirection);
54double MinIntersectDistance(const gsl_vector * x, void *params);
55bool existsIntersection(const Vector &point1, const Vector &point2, const Vector &point3, const Vector &point4);
56double CalculateVolumeofGeneralTetraeder(const Vector &a, const Vector &b, const Vector &c, const Vector &d);
57double CalculateAreaofGeneralTriangle(const Vector &A, const Vector &B, const Vector &C);
58double GetAngle(const Vector &point, const Vector &reference, const Vector &OrthogonalVector);
59
60bool CheckLineCriteriaForDegeneratedTriangle(const BoundaryPointSet * const nodes[3]);
61bool SortCandidates(const CandidateForTesselation* candidate1, const CandidateForTesselation *candidate2);
62TesselPoint* FindClosestTesselPoint(const Vector* Point, TesselPoint *&SecondPoint, const LinkedCell* const LC);
63TesselPoint* FindSecondClosestTesselPoint(const Vector*, const LinkedCell* const LC);
64Vector * GetClosestPointBetweenLine(const BoundaryLineSet * const Base, const BoundaryLineSet * const OtherBase);
65
66void WriteTecplotFile(ofstream * const tecplot, const Tesselation * const TesselStruct, const PointCloud * const cloud, const int N);
67void WriteRaster3dFile(ofstream * const rasterfile, const Tesselation * const Tess, const PointCloud * const cloud);
68void IncludeSphereinRaster3D(ofstream * const rasterfile, const Tesselation *Tess, const PointCloud *cloud);
69void WriteVrmlFile(ofstream * const vrmlfile, const Tesselation * const Tess, const PointCloud * const cloud);
70void CalculateConcavityPerBoundaryPoint(const Tesselation * const TesselStruct);
71void CalculateConstrictionPerBoundaryPoint(const Tesselation * const TesselStruct, const Tesselation * const Convex);
72double DistanceToTrianglePlane(const Vector *x, const BoundaryTriangleSet * const triangle);
73
74bool CheckListOfBaselines(const Tesselation * const TesselStruct);
75
76int CountTrianglePairContainingPolygon(const BoundaryPolygonSet * const P, const TriangleSet * const T);
77bool ArePolygonsEdgeConnected(const BoundaryPolygonSet * const P1, const BoundaryPolygonSet * const P2);
78void CombinePolygons(BoundaryPolygonSet * const P1, BoundaryPolygonSet * &P2);
79
80
81#endif /* TESSELATIONHELPERS_HPP_ */
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