Ocean::Geometry::Delaunay Class Reference

This class implements Delaunay triangulation functions. More...

#include <Delaunay.h>

Data Structures
class	CircumCricleIndexTriangle
	This class extends the IndexTriangle class by an additional circumcircle as the Delaunay triangulation is based on this information. More...
class	ComparePointsX
	This class implements the lesser operator for indices of points. More...
class	IndexEdge
	This class stores the sorted indices of an edge. More...
class	IndexTriangle
	This class holds three indices of points representing a triangle. More...

Public Types
typedef std::vector< IndexTriangle >	IndexTriangles
	Definition of a vector holding index triangles.

Static Public Member Functions
static IndexTriangles	triangulation (const Vectors2 &points)
	Determines the delaunay triangulation for a given 2D point set.
static bool	checkTriangulation (const IndexTriangles &triangles, const Vectors2 &points, const Scalar epsilon=Numeric::eps())
	Checks a Delaunay triangulation for integrity: no points are allowed within the circumcircle of a triangle.

Protected Types
typedef std::vector< CircumCricleIndexTriangle >	CircumCricleIndexTriangles
	Definition of a vector holding extended index triangles.
typedef std::list< CircumCricleIndexTriangle >	CircumCricleIndexTriangleList
	Definition of a list holding extended index triangles.
typedef std::map< IndexEdge, unsigned int >	EdgeMap
	Definition of a map mapping edge pairs to a counter.

Static Protected Member Functions
static bool	checkTriangulation (const CircumCricleIndexTriangles &triangles, const Vectors2 &points, const Scalar epsilon=Numeric::eps())
	Checks a Delaunay triangulation for integrity: no points are allowed within the circumcircle of a triangle.

Detailed Description

This class implements Delaunay triangulation functions.

Member Typedef Documentation

CircumCricleIndexTriangleList

typedef std::list<CircumCricleIndexTriangle> Ocean::Geometry::Delaunay::CircumCricleIndexTriangleList

protected

Definition of a list holding extended index triangles.

CircumCricleIndexTriangles

typedef std::vector<CircumCricleIndexTriangle> Ocean::Geometry::Delaunay::CircumCricleIndexTriangles

protected

Definition of a vector holding extended index triangles.

EdgeMap

typedef std::map<IndexEdge, unsigned int> Ocean::Geometry::Delaunay::EdgeMap

protected

Definition of a map mapping edge pairs to a counter.

IndexTriangles

typedef std::vector<IndexTriangle> Ocean::Geometry::Delaunay::IndexTriangles

Definition of a vector holding index triangles.

Member Function Documentation

checkTriangulation() [1/2]

static bool Ocean::Geometry::Delaunay::checkTriangulation ( const CircumCricleIndexTriangles &  triangles, const Vectors2 &  points, const Scalar  epsilon = Numeric::eps()  )

staticprotected

Checks a Delaunay triangulation for integrity: no points are allowed within the circumcircle of a triangle.

Parameters

triangles	Delaunay triangulation
points	Vector with points coordinates
epsilon	The epsilon value used for a slightly more generous comparison, with range [0, infinity)

Returns

True, if the provided triangulation is a valid Delaunay triangulation

checkTriangulation() [2/2]

static bool Ocean::Geometry::Delaunay::checkTriangulation ( const IndexTriangles &  triangles, const Vectors2 &  points, const Scalar  epsilon = Numeric::eps()  )

static

Checks a Delaunay triangulation for integrity: no points are allowed within the circumcircle of a triangle.

Parameters

triangles	Delaunay triangulation
points	Vector with points coordinates
epsilon	The epsilon value used for a slightly more generous comparison, with range [0, infinity)

Returns

True, if the provided triangulation is a valid Delaunay triangulation

triangulation()

static IndexTriangles Ocean::Geometry::Delaunay::triangulation ( const Vectors2 &  points )

static

Determines the delaunay triangulation for a given 2D point set.

The implementation is based on the Bowyer-Watson algorithm.

Parameters

points

2D point set to be triangulated, at least three

Returns

Resulting triangulation

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The documentation for this class was generated from the following file:

• Delaunay.h