Tetra mesh contains vertices and tetrahedra represented by the indices to the vertices. More...

#include <TetraMesh.h>

Inheritance diagram for open3d::geometry::TetraMesh:

Public Member Functions
	TetraMesh ()
	Default Constructor. More...

	TetraMesh (const std::vector< Eigen::Vector3d > &vertices, const std::vector< Eigen::Vector4i, utility::Vector4i_allocator > &tetras)
	Parameterized Constructor. More...

	~TetraMesh () override

TetraMesh &	Clear () override
	Clear all elements in the geometry. More...

TetraMesh &	operator+= (const TetraMesh &mesh)

TetraMesh	operator+ (const TetraMesh &mesh) const

TetraMesh &	RemoveDuplicatedVertices ()
	Function that removes duplicated verties, i.e., vertices that have identical coordinates. More...

TetraMesh &	RemoveDuplicatedTetras ()
	Function that removes duplicated tetrahedra, i.e., removes tetrahedra that reference the same four vertices, independent of their order. More...

TetraMesh &	RemoveUnreferencedVertices ()
	This function removes vertices from the tetra mesh that are not referenced in any tetrahedron of the mesh. More...

TetraMesh &	RemoveDegenerateTetras ()
	Function that removes degenerate tetrahedra, i.e., tetrahedra that reference a single vertex multiple times in a single tetrahedron. They are usually the product of removing duplicated vertices. More...

bool	HasTetras () const
	Returns `true` if the mesh contains tetras. More...

std::shared_ptr< TriangleMesh >	ExtractTriangleMesh (const std::vector< double > &values, double level)
	Function to extract a triangle mesh of the specified iso-surface at a level This method applies primal contouring and generates triangles for each tetrahedron. More...

Public Member Functions inherited from open3d::geometry::MeshBase
	MeshBase ()
	Default Constructor. More...

	~MeshBase () override

virtual bool	IsEmpty () const override
	Returns `true` iff the geometry is empty. More...

virtual Eigen::Vector3d	GetMinBound () const override
	Returns min bounds for geometry coordinates. More...

virtual Eigen::Vector3d	GetMaxBound () const override
	Returns max bounds for geometry coordinates. More...

virtual Eigen::Vector3d	GetCenter () const override
	Returns the center of the geometry coordinates. More...

virtual AxisAlignedBoundingBox	GetAxisAlignedBoundingBox () const override

virtual OrientedBoundingBox	GetOrientedBoundingBox (bool robust=false) const override

virtual OrientedBoundingBox	GetMinimalOrientedBoundingBox (bool robust=false) const override

virtual MeshBase &	Transform (const Eigen::Matrix4d &transformation) override
	Apply transformation (4x4 matrix) to the geometry coordinates. More...

virtual MeshBase &	Translate (const Eigen::Vector3d &translation, bool relative=true) override
	Apply translation to the geometry coordinates. More...

virtual MeshBase &	Scale (const double scale, const Eigen::Vector3d &center) override
	Apply scaling to the geometry coordinates. Given a scaling factor \(s\), and center \(c\), a given point \(p\) is transformed according to \(s (p - c) + c\). More...

virtual MeshBase &	Rotate (const Eigen::Matrix3d &R, const Eigen::Vector3d &center) override
	Apply rotation to the geometry coordinates and normals. Given a rotation matrix \(R\), and center \(c\), a given point \(p\) is transformed according to \(R (p - c) + c\). More...

MeshBase &	operator+= (const MeshBase &mesh)

MeshBase	operator+ (const MeshBase &mesh) const

bool	HasVertices () const
	Returns `True` if the mesh contains vertices. More...

bool	HasVertexNormals () const
	Returns `True` if the mesh contains vertex normals. More...

bool	HasVertexColors () const
	Returns `True` if the mesh contains vertex colors. More...

MeshBase &	NormalizeNormals ()
	Normalize vertex normals to length 1. More...

MeshBase &	PaintUniformColor (const Eigen::Vector3d &color)
	Assigns each vertex in the TriangleMesh the same color. More...

std::tuple< std::shared_ptr< TriangleMesh >, std::vector< size_t > >	ComputeConvexHull () const
	Function that computes the convex hull of the triangle mesh using qhull. More...

Public Member Functions inherited from open3d::geometry::Geometry3D
	~Geometry3D () override

virtual Geometry3D &	Rotate (const Eigen::Matrix3d &R)

Public Member Functions inherited from open3d::geometry::Geometry
virtual	~Geometry ()

GeometryType	GetGeometryType () const
	Returns one of registered geometry types. More...

int	Dimension () const
	Returns whether the geometry is 2D or 3D. More...

std::string	GetName () const

void	SetName (const std::string &name)

Static Public Member Functions
static std::tuple< std::shared_ptr< TetraMesh >, std::vector< size_t > >	CreateFromPointCloud (const PointCloud &point_cloud)
	Function that creates a tetrahedral mesh (TetraMeshFactory.cpp). from a point cloud. More...

Static Public Member Functions inherited from open3d::geometry::Geometry3D
static Eigen::Matrix3d	GetRotationMatrixFromXYZ (const Eigen::Vector3d &rotation)
	Get Rotation Matrix from XYZ RotationType. More...

static Eigen::Matrix3d	GetRotationMatrixFromYZX (const Eigen::Vector3d &rotation)
	Get Rotation Matrix from YZX RotationType. More...

static Eigen::Matrix3d	GetRotationMatrixFromZXY (const Eigen::Vector3d &rotation)
	Get Rotation Matrix from ZXY RotationType. More...

static Eigen::Matrix3d	GetRotationMatrixFromXZY (const Eigen::Vector3d &rotation)
	Get Rotation Matrix from XZY RotationType. More...

static Eigen::Matrix3d	GetRotationMatrixFromZYX (const Eigen::Vector3d &rotation)
	Get Rotation Matrix from ZYX RotationType. More...

static Eigen::Matrix3d	GetRotationMatrixFromYXZ (const Eigen::Vector3d &rotation)
	Get Rotation Matrix from YXZ RotationType. More...

static Eigen::Matrix3d	GetRotationMatrixFromAxisAngle (const Eigen::Vector3d &rotation)
	Get Rotation Matrix from AxisAngle RotationType. More...

static Eigen::Matrix3d	GetRotationMatrixFromQuaternion (const Eigen::Vector4d &rotation)
	Get Rotation Matrix from Quaternion. More...

Data Fields
std::vector< Eigen::Vector4i, utility::Vector4i_allocator >	tetras_
	List of tetras denoted by the index of points forming the tetra. More...

Data Fields inherited from open3d::geometry::MeshBase
std::vector< Eigen::Vector3d >	vertices_
	Vertex coordinates. More...

std::vector< Eigen::Vector3d >	vertex_normals_
	Vertex normals. More...

std::vector< Eigen::Vector3d >	vertex_colors_
	RGB colors of vertices. More...

Protected Member Functions
	TetraMesh (Geometry::GeometryType type)

Protected Member Functions inherited from open3d::geometry::MeshBase
	MeshBase (Geometry::GeometryType type)

	MeshBase (Geometry::GeometryType type, const std::vector< Eigen::Vector3d > &vertices)

Protected Member Functions inherited from open3d::geometry::Geometry3D
	Geometry3D (GeometryType type)
	Parameterized Constructor. More...

Eigen::Vector3d	ComputeMinBound (const std::vector< Eigen::Vector3d > &points) const
	Compute min bound of a list points. More...

Eigen::Vector3d	ComputeMaxBound (const std::vector< Eigen::Vector3d > &points) const
	Compute max bound of a list points. More...

Eigen::Vector3d	ComputeCenter (const std::vector< Eigen::Vector3d > &points) const
	Computer center of a list of points. More...

void	ResizeAndPaintUniformColor (std::vector< Eigen::Vector3d > &colors, const size_t size, const Eigen::Vector3d &color) const
	Resizes the colors vector and paints a uniform color. More...

void	TransformPoints (const Eigen::Matrix4d &transformation, std::vector< Eigen::Vector3d > &points) const
	Transforms all points with the transformation matrix. More...

void	TransformNormals (const Eigen::Matrix4d &transformation, std::vector< Eigen::Vector3d > &normals) const
	Transforms the normals with the transformation matrix. More...

void	TransformCovariances (const Eigen::Matrix4d &transformation, std::vector< Eigen::Matrix3d > &covariances) const
	Transforms all covariance matrices with the transformation. More...

void	TranslatePoints (const Eigen::Vector3d &translation, std::vector< Eigen::Vector3d > &points, bool relative) const
	Apply translation to the geometry coordinates. More...

void	ScalePoints (const double scale, std::vector< Eigen::Vector3d > &points, const Eigen::Vector3d &center) const
	Scale the coordinates of all points by the scaling factor `scale`. More...

void	RotatePoints (const Eigen::Matrix3d &R, std::vector< Eigen::Vector3d > &points, const Eigen::Vector3d &center) const
	Rotate all points with the rotation matrix `R`. More...

void	RotateNormals (const Eigen::Matrix3d &R, std::vector< Eigen::Vector3d > &normals) const
	Rotate all normals with the rotation matrix `R`. More...

void	RotateCovariances (const Eigen::Matrix3d &R, std::vector< Eigen::Matrix3d > &covariances) const
	Rotate all covariance matrices with the rotation matrix `R`. More...

Protected Member Functions inherited from open3d::geometry::Geometry
	Geometry (GeometryType type, int dimension)
	Parameterized Constructor. More...

Additional Inherited Members
Public Types inherited from open3d::geometry::MeshBase
enum class	SimplificationContraction { Average , Quadric }
	Indicates the method that is used for mesh simplification if multiple vertices are combined to a single one. More...

enum class	FilterScope { All , Color , Normal , Vertex }
	Indicates the scope of filter operations. More...

enum class	DeformAsRigidAsPossibleEnergy { Spokes , Smoothed }

Public Types inherited from open3d::geometry::Geometry
enum class	GeometryType { Unspecified = 0 , PointCloud = 1 , VoxelGrid = 2 , Octree = 3 , LineSet = 4 , MeshBase = 5 , TriangleMesh = 6 , HalfEdgeTriangleMesh = 7 , Image = 8 , RGBDImage = 9 , TetraMesh = 10 , OrientedBoundingBox = 11 , AxisAlignedBoundingBox = 12 }
	Specifies possible geometry types. More...

Detailed Description

Tetra mesh contains vertices and tetrahedra represented by the indices to the vertices.

Constructor & Destructor Documentation

◆ TetraMesh() [1/3]

open3d::geometry::TetraMesh::TetraMesh ( )

inline

Default Constructor.

◆ TetraMesh() [2/3]

open3d::geometry::TetraMesh::TetraMesh	(	const std::vector< Eigen::Vector3d > &	vertices,
		const std::vector< Eigen::Vector4i, utility::Vector4i_allocator > &	tetras
	)

inline

Parameterized Constructor.

Parameters

vertices	Vertex coordinates.
tetras	List of tetras denoted by the index of points forming the tetra.

◆ ~TetraMesh()

open3d::geometry::TetraMesh::~TetraMesh ( )

inlineoverride

◆ TetraMesh() [3/3]

open3d::geometry::TetraMesh::TetraMesh ( Geometry::GeometryType type )

inlineprotected

Member Function Documentation

◆ Clear()

TetraMesh & open3d::geometry::TetraMesh::Clear ( )

overridevirtual

Clear all elements in the geometry.

Reimplemented from open3d::geometry::MeshBase.

◆ CreateFromPointCloud()

std::tuple< std::shared_ptr< TetraMesh >, std::vector< size_t > > open3d::geometry::TetraMesh::CreateFromPointCloud ( const PointCloud & point_cloud )

static

Function that creates a tetrahedral mesh (TetraMeshFactory.cpp). from a point cloud.

The method creates the Delaunay triangulation using the implementation from Qhull.

◆ ExtractTriangleMesh()

std::shared_ptr< TriangleMesh > open3d::geometry::TetraMesh::ExtractTriangleMesh	(	const std::vector< double > &	values,
		double	level
	)

Function to extract a triangle mesh of the specified iso-surface at a level This method applies primal contouring and generates triangles for each tetrahedron.

Parameters

level	specifies the level.
values	specifies values per-vertex.

◆ HasTetras()

bool open3d::geometry::TetraMesh::HasTetras ( ) const

inline

Returns true if the mesh contains tetras.

◆ operator+()

TetraMesh open3d::geometry::TetraMesh::operator+ ( const TetraMesh & mesh ) const

◆ operator+=()

TetraMesh & open3d::geometry::TetraMesh::operator+= ( const TetraMesh & mesh )

◆ RemoveDegenerateTetras()

TetraMesh & open3d::geometry::TetraMesh::RemoveDegenerateTetras ( )

Function that removes degenerate tetrahedra, i.e., tetrahedra that reference a single vertex multiple times in a single tetrahedron. They are usually the product of removing duplicated vertices.

◆ RemoveDuplicatedTetras()

TetraMesh & open3d::geometry::TetraMesh::RemoveDuplicatedTetras ( )

Function that removes duplicated tetrahedra, i.e., removes tetrahedra that reference the same four vertices, independent of their order.

◆ RemoveDuplicatedVertices()

TetraMesh & open3d::geometry::TetraMesh::RemoveDuplicatedVertices ( )

Function that removes duplicated verties, i.e., vertices that have identical coordinates.

◆ RemoveUnreferencedVertices()

TetraMesh & open3d::geometry::TetraMesh::RemoveUnreferencedVertices ( )

This function removes vertices from the tetra mesh that are not referenced in any tetrahedron of the mesh.

Field Documentation

◆ tetras_

std::vector<Eigen::Vector4i, utility::Vector4i_allocator> open3d::geometry::TetraMesh::tetras_

List of tetras denoted by the index of points forming the tetra.

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

/home/runner/work/Open3D/Open3D/cpp/open3d/geometry/TetraMesh.h (1e7b174 (Tue Jan 7 15:20:18 2025 -0800))
/home/runner/work/Open3D/Open3D/cpp/open3d/geometry/TetraMesh.cpp (1e7b174 (Tue Jan 7 15:20:18 2025 -0800))
/home/runner/work/Open3D/Open3D/cpp/open3d/geometry/TetraMeshFactory.cpp (1e7b174 (Tue Jan 7 15:20:18 2025 -0800))

Public Member Functions

Static Public Member Functions

Data Fields

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TetraMesh() [1/3]

◆ TetraMesh() [2/3]

◆ ~TetraMesh()

◆ TetraMesh() [3/3]

Member Function Documentation

◆ Clear()

◆ CreateFromPointCloud()

◆ ExtractTriangleMesh()

◆ HasTetras()

◆ operator+()

◆ operator+=()

◆ RemoveDegenerateTetras()

◆ RemoveDuplicatedTetras()

◆ RemoveDuplicatedVertices()

◆ RemoveUnreferencedVertices()

Field Documentation

◆ tetras_