Aim: A class for computing the digitization of a triangle or a Mesh. More...

#include <DGtal/shapes/MeshVoxelizer.h>

Public Types
enum	TriangleOrientation { TRIANGLE_OUTSIDE , TRIANGLE_INSIDE , TRIANGLE_ONEDGE , TRIANGLE_ONVERTEX }
	Enum type when deciding if a 2D point belongs to a 2D triangle. More...

typedef TDigitalSet	DigitalSet
	Digital Set Type.

using	Space = typename DigitalSet::Space

using	Space2D = SpaceND<2, typename Space::Integer>

using	Domain = typename DigitalSet::Domain

using	PointR3 = typename Space::RealPoint

using	VectorR3 = typename Space::RealPoint

using	PointR2 = typename Space2D::RealPoint

using	PointZ3 = typename Space::Point

using	OrientationFunctor = InHalfPlaneBySimple3x3Matrix<PointR2, double>

using	IntersectionTarget = typename IntersectionTargetTrait<Space, Separation, 1>::Type

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CDigitalSet< TDigitalSet >))
	Concept Checking.

	BOOST_STATIC_ASSERT_MSG (DigitalSet::Space::dimension==3, "DigitalSet dimension must be 3")

	BOOST_STATIC_ASSERT_MSG (Separation==6\|\|Separation==26, "Separation must be 6 or 26")
	Separation Checking.

	MeshVoxelizer ()=default

template<typename MeshPoint >
void	voxelize (DigitalSet &outputSet, const Mesh< MeshPoint > &aMesh, const double scaleFactor=1.0)

template<typename MeshPoint >
void	voxelize (DigitalSet &outputSet, const MeshPoint &a, const MeshPoint &b, const MeshPoint &c, const double scaleFactor=1.0)

void	voxelizeTriangle (DigitalSet &outputSet, const PointR3 &A, const PointR3 &B, const PointR3 &C, const VectorR3 &n, const std::pair< PointZ3, PointZ3 > &bbox)

Static Public Member Functions
static double	distance (const PointR3 &M, const VectorR3 &n, const PointZ3 &p)

static TriangleOrientation	pointIsInside2DTriangle (const PointR2 &A, const PointR2 &B, const PointR2 &C, const PointR2 &p)

static bool	pointIsInsideVoxel (const PointR3 &P, const PointZ3 &v)

Private Attributes
IntersectionTarget	myIntersectionTarget
	Intersection target.

Detailed Description

template<typename TDigitalSet, int Separation = 6>
class DGtal::MeshVoxelizer< TDigitalSet, Separation >

Aim: A class for computing the digitization of a triangle or a Mesh.

Description of template class 'MeshVoxelizer'

This class is parametrized by a Separation strategy (either 6 or 26). This value corresponds to the separability of a digitized continuous plane. For instance, if the value is set to 6, then the digitization of an Euclidean plane is such that no 6-path exists to go from one side to the other of the Euclidean plane (see [66]).

From the separability parameter, a template is constructed. A voxel belongs to the digitization if and only if the template centered at a given voxel intersects the triangle.

This approach is a CPU straightforward implementation of [79].

6 and 26 templates are the following ones:

Template for 6-separating digitization

Template for 26-separating digitization

Template Parameters

TDigitalSet	a DigitalSet (model of concepts::CDigitalSet)
Separation	strategy of the voxelization (6 or 26)

Examples: shapes/exampleMeshVoxelizer.cpp.

Definition at line 79 of file MeshVoxelizer.h.

Member Typedef Documentation

◆ DigitalSet

template<typename TDigitalSet , int Separation = 6>

typedef TDigitalSet DGtal::MeshVoxelizer< TDigitalSet, Separation >::DigitalSet

Digital Set Type.

Definition at line 88 of file MeshVoxelizer.h.

◆ Domain

template<typename TDigitalSet , int Separation = 6>

using DGtal::MeshVoxelizer< TDigitalSet, Separation >::Domain = typename DigitalSet::Domain

Definition at line 97 of file MeshVoxelizer.h.

◆ IntersectionTarget

template<typename TDigitalSet , int Separation = 6>

using DGtal::MeshVoxelizer< TDigitalSet, Separation >::IntersectionTarget = typename IntersectionTargetTrait<Space, Separation, 1>::Type

Definition at line 103 of file MeshVoxelizer.h.

◆ OrientationFunctor

template<typename TDigitalSet , int Separation = 6>

using DGtal::MeshVoxelizer< TDigitalSet, Separation >::OrientationFunctor = InHalfPlaneBySimple3x3Matrix<PointR2, double>

Definition at line 102 of file MeshVoxelizer.h.

◆ PointR2

template<typename TDigitalSet , int Separation = 6>

using DGtal::MeshVoxelizer< TDigitalSet, Separation >::PointR2 = typename Space2D::RealPoint

Definition at line 100 of file MeshVoxelizer.h.

◆ PointR3

template<typename TDigitalSet , int Separation = 6>

using DGtal::MeshVoxelizer< TDigitalSet, Separation >::PointR3 = typename Space::RealPoint

Definition at line 98 of file MeshVoxelizer.h.

◆ PointZ3

template<typename TDigitalSet , int Separation = 6>

using DGtal::MeshVoxelizer< TDigitalSet, Separation >::PointZ3 = typename Space::Point

Definition at line 101 of file MeshVoxelizer.h.

◆ Space

template<typename TDigitalSet , int Separation = 6>

using DGtal::MeshVoxelizer< TDigitalSet, Separation >::Space = typename DigitalSet::Space

Definition at line 95 of file MeshVoxelizer.h.

◆ Space2D

template<typename TDigitalSet , int Separation = 6>

using DGtal::MeshVoxelizer< TDigitalSet, Separation >::Space2D = SpaceND<2, typename Space::Integer>

Definition at line 96 of file MeshVoxelizer.h.

◆ VectorR3

template<typename TDigitalSet , int Separation = 6>

using DGtal::MeshVoxelizer< TDigitalSet, Separation >::VectorR3 = typename Space::RealPoint

Definition at line 99 of file MeshVoxelizer.h.

Member Enumeration Documentation

◆ TriangleOrientation

template<typename TDigitalSet , int Separation = 6>

enum DGtal::MeshVoxelizer::TriangleOrientation

Enum type when deciding if a 2D point belongs to a 2D triangle.

Enumerator
TRIANGLE_OUTSIDE
TRIANGLE_INSIDE
TRIANGLE_ONEDGE
TRIANGLE_ONVERTEX

Definition at line 157 of file MeshVoxelizer.h.

157{ TRIANGLE_OUTSIDE, TRIANGLE_INSIDE, TRIANGLE_ONEDGE, TRIANGLE_ONVERTEX };

DGtal::MeshVoxelizer::TRIANGLE_OUTSIDE

@ TRIANGLE_OUTSIDE

Definition MeshVoxelizer.h:157

DGtal::MeshVoxelizer::TRIANGLE_ONEDGE

@ TRIANGLE_ONEDGE

Definition MeshVoxelizer.h:157

DGtal::MeshVoxelizer::TRIANGLE_ONVERTEX

@ TRIANGLE_ONVERTEX

Definition MeshVoxelizer.h:157

DGtal::MeshVoxelizer::TRIANGLE_INSIDE

@ TRIANGLE_INSIDE

Definition MeshVoxelizer.h:157

Constructor & Destructor Documentation

◆ MeshVoxelizer()

template<typename TDigitalSet , int Separation = 6>

DGtal::MeshVoxelizer< TDigitalSet, Separation >::MeshVoxelizer ( )

default

Constructor of the voxelizer

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT()

template<typename TDigitalSet , int Separation = 6>

DGtal::MeshVoxelizer< TDigitalSet, Separation >::BOOST_CONCEPT_ASSERT ( (concepts::CDigitalSet< TDigitalSet >) )

Concept Checking.

◆ BOOST_STATIC_ASSERT_MSG() [1/2]

template<typename TDigitalSet , int Separation = 6>

DGtal::MeshVoxelizer< TDigitalSet, Separation >::BOOST_STATIC_ASSERT_MSG	(	DigitalSet::Space::dimension	= =3,
		"DigitalSet dimension must be 3"	)

◆ BOOST_STATIC_ASSERT_MSG() [2/2]

template<typename TDigitalSet , int Separation = 6>

DGtal::MeshVoxelizer< TDigitalSet, Separation >::BOOST_STATIC_ASSERT_MSG	(	Separation	= =6\|\|Separation==26,
		"Separation must be 6 or 26"	)

Separation Checking.

◆ distance()

template<typename TDigitalSet , int Separation = 6>

static double DGtal::MeshVoxelizer< TDigitalSet, Separation >::distance	(	const PointR3 &	M,
		const VectorR3 &	n,
		const PointZ3 &	p )

static

Compute (unsigned) distance between p and the Euclidean plane defined by normal vector n and point M

Parameters

M	point
n	normal
p	point p

Returns: distance the distance to the plane

◆ pointIsInside2DTriangle()

template<typename TDigitalSet , int Separation = 6>

static TriangleOrientation DGtal::MeshVoxelizer< TDigitalSet, Separation >::pointIsInside2DTriangle	(	const PointR2 &	A,
		const PointR2 &	B,
		const PointR2 &	C,
		const PointR2 &	p )

static

Predicate to know if p (2D point) is inside ABC (2D triangle)

Parameters

A	Point A
B	Point B
C	Point C
p	point p

Returns: TriangleOrientation either {OUTSIDE, INSIDE, ONEDGE, ONVERTEX}

◆ pointIsInsideVoxel()

template<typename TDigitalSet , int Separation = 6>

static bool DGtal::MeshVoxelizer< TDigitalSet, Separation >::pointIsInsideVoxel	(	const PointR3 &	P,
		const PointZ3 &	v )

static

Predicate to decide if a real point P is inside voxel v

Parameters

P	point P
v	voxel v

Returns: true if P is inside v

◆ voxelize() [1/2]

template<typename TDigitalSet , int Separation = 6>

template<typename MeshPoint >

void DGtal::MeshVoxelizer< TDigitalSet, Separation >::voxelize	(	DigitalSet &	outputSet,
		const Mesh< MeshPoint > &	aMesh,
		const double	scaleFactor = 1.0 )

Voxelize the mesh into the digital set.

Warning: if the mesh has non-trianuglar faces, we naively triangulate using a triangle fan at zero. If the face is not convex, the output will not be correct.

If one voxel is outside the digtial set (outputSet) domain, the voxel is skipped.

Parameters

[out]	outputSet	the set that collects the voxels.
[in]	aMesh	the mesh to voxelize (vertex coordinates will be casted to PointR3 points.
[in]	scaleFactor	the scale factor to apply to the mesh (default=1.0)

Template Parameters

MeshPoint the type of point of the mesh.

Examples: shapes/exampleMeshVoxelizer.cpp.

Referenced by main().

◆ voxelize() [2/2]

template<typename TDigitalSet , int Separation = 6>

template<typename MeshPoint >

void DGtal::MeshVoxelizer< TDigitalSet, Separation >::voxelize	(	DigitalSet &	outputSet,
		const MeshPoint &	a,
		const MeshPoint &	b,
		const MeshPoint &	c,
		const double	scaleFactor = 1.0 )

Voxelize a unique triangle (a,b,c) into the digital set. voxels are inserted to the outputSet.

Parameters

[out]	outputSet	the set that collects the voxels.
[in]	a	the first point of the triangle
[in]	b	the second point of the triangle
[in]	c	the third point of the triangle
[in]	scaleFactor	the scale factor to apply to the triangle (default=1.0)

Template Parameters

MeshPoint the type of point of the triangle (casted to PointR3 later).

◆ voxelizeTriangle()

template<typename TDigitalSet , int Separation = 6>

void DGtal::MeshVoxelizer< TDigitalSet, Separation >::voxelizeTriangle	(	DigitalSet &	outputSet,
		const PointR3 &	A,
		const PointR3 &	B,
		const PointR3 &	C,
		const VectorR3 &	n,
		const std::pair< PointZ3, PointZ3 > &	bbox )

Voxelize ABC to the digitalSet

Parameters

[out]	outputSet	the set that collects the voxels.
	A	Point A
	B	Point B
	C	Point C
	n	normal of ABC
	bbox	bounding box of ABC

Field Documentation

◆ myIntersectionTarget

template<typename TDigitalSet , int Separation = 6>

IntersectionTarget DGtal::MeshVoxelizer< TDigitalSet, Separation >::myIntersectionTarget

private

Intersection target.

Definition at line 217 of file MeshVoxelizer.h.

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

MeshVoxelizer.h

Public Types

Public Member Functions

Static Public Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ DigitalSet

◆ Domain

◆ IntersectionTarget

◆ OrientationFunctor

◆ PointR2

◆ PointR3

◆ PointZ3

◆ Space

◆ Space2D

◆ VectorR3

Member Enumeration Documentation

◆ TriangleOrientation

Constructor & Destructor Documentation

◆ MeshVoxelizer()

Member Function Documentation

◆ BOOST_CONCEPT_ASSERT()

◆ BOOST_STATIC_ASSERT_MSG() [1/2]

◆ BOOST_STATIC_ASSERT_MSG() [2/2]

◆ distance()

◆ pointIsInside2DTriangle()

◆ pointIsInsideVoxel()

◆ voxelize() [1/2]

◆ voxelize() [2/2]

◆ voxelizeTriangle()

Field Documentation

◆ myIntersectionTarget