MeshBash Class. More...

#include <MeshBase.h>

Inheritance diagram for open3d::geometry::MeshBase:

Public Types
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...

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

	~MeshBase () override

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

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)

Data Fields
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
	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
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...

Detailed Description

MeshBash Class.

Triangle mesh contains vertices. Optionally, the mesh may also contain vertex normals and vertex colors.

Member Enumeration Documentation

◆ DeformAsRigidAsPossibleEnergy

enum open3d::geometry::MeshBase::DeformAsRigidAsPossibleEnergy

strong

Energy model that is minimized in the DeformAsRigidAsPossible method.

Parameters

Spokes	is the original energy as formulated in Sorkine and Alexa, "As-Rigid-As-Possible Surface Modeling", 2007.
Smoothed	adds a rotation smoothing term to the rotations.

Enumerator
Spokes
Smoothed

◆ FilterScope

enum open3d::geometry::MeshBase::FilterScope

strong

Indicates the scope of filter operations.

Parameters

All	indicates that all properties (color, normal, vertex position) are filtered.
Color	indicates that only the colors are filtered.
Normal	indicates that only the normals are filtered.
Vertex	indicates that only the vertex positions are filtered.

Enumerator
All
Color
Normal
Vertex

◆ SimplificationContraction

enum open3d::geometry::MeshBase::SimplificationContraction

strong

Indicates the method that is used for mesh simplification if multiple vertices are combined to a single one.

Parameters

Average	indicates that the average position is computed as output.
Quadric	indicates that the distance to the adjacent triangle planes is minimized. Cf. "Simplifying Surfaces with Color and Texture using Quadric Error Metrics" by Garland and Heckbert.

Enumerator
Average
Quadric

Constructor & Destructor Documentation

◆ MeshBase() [1/3]

open3d::geometry::MeshBase::MeshBase ( )

inline

Default Constructor.

◆ ~MeshBase()

open3d::geometry::MeshBase::~MeshBase ( )

inlineoverride

◆ MeshBase() [2/3]

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

inlineprotected

◆ MeshBase() [3/3]

open3d::geometry::MeshBase::MeshBase	(	Geometry::GeometryType	type,
		const std::vector< Eigen::Vector3d > &	vertices
	)

inlineprotected

Member Function Documentation

◆ Clear()

MeshBase & open3d::geometry::MeshBase::Clear ( )

overridevirtual

Clear all elements in the geometry.

Implements open3d::geometry::Geometry3D.

Reimplemented in open3d::geometry::TriangleMesh, open3d::geometry::TetraMesh, and open3d::geometry::HalfEdgeTriangleMesh.

◆ ComputeConvexHull()

std::tuple< std::shared_ptr< TriangleMesh >, std::vector< size_t > > open3d::geometry::MeshBase::ComputeConvexHull ( ) const

Function that computes the convex hull of the triangle mesh using qhull.

◆ GetAxisAlignedBoundingBox()

AxisAlignedBoundingBox open3d::geometry::MeshBase::GetAxisAlignedBoundingBox ( ) const

overridevirtual

Creates the axis-aligned bounding box around the vertices of the object. Further details in AxisAlignedBoundingBox::CreateFromPoints()

Implements open3d::geometry::Geometry3D.

◆ GetCenter()

Eigen::Vector3d open3d::geometry::MeshBase::GetCenter ( ) const

overridevirtual

Returns the center of the geometry coordinates.

Implements open3d::geometry::Geometry3D.

◆ GetMaxBound()

Eigen::Vector3d open3d::geometry::MeshBase::GetMaxBound ( ) const

overridevirtual

Returns max bounds for geometry coordinates.

Implements open3d::geometry::Geometry3D.

◆ GetMinBound()

Eigen::Vector3d open3d::geometry::MeshBase::GetMinBound ( ) const

overridevirtual

Returns min bounds for geometry coordinates.

Implements open3d::geometry::Geometry3D.

◆ GetMinimalOrientedBoundingBox()

OrientedBoundingBox open3d::geometry::MeshBase::GetMinimalOrientedBoundingBox ( bool robust = false ) const

overridevirtual

Creates the minimal oriented bounding box around the vertices of the object. Further details in OrientedBoundingBox::CreateFromPointsMinimal()

Parameters

robust If set to true uses a more robust method which works in degenerate cases but introduces noise to the points coordinates.

Implements open3d::geometry::Geometry3D.

◆ GetOrientedBoundingBox()

OrientedBoundingBox open3d::geometry::MeshBase::GetOrientedBoundingBox ( bool robust = false ) const

overridevirtual

Creates an oriented bounding box around the vertices of the object. Further details in OrientedBoundingBox::CreateFromPoints()

Parameters

robust If set to true uses a more robust method which works in degenerate cases but introduces noise to the points coordinates.

Implements open3d::geometry::Geometry3D.

◆ HasVertexColors()

bool open3d::geometry::MeshBase::HasVertexColors ( ) const

inline

Returns True if the mesh contains vertex colors.

◆ HasVertexNormals()

bool open3d::geometry::MeshBase::HasVertexNormals ( ) const

inline

Returns True if the mesh contains vertex normals.

◆ HasVertices()

bool open3d::geometry::MeshBase::HasVertices ( ) const

inline

Returns True if the mesh contains vertices.

◆ IsEmpty()

bool open3d::geometry::MeshBase::IsEmpty ( ) const

overridevirtual

Returns true iff the geometry is empty.

Implements open3d::geometry::Geometry3D.

◆ NormalizeNormals()

MeshBase& open3d::geometry::MeshBase::NormalizeNormals ( )

inline

Normalize vertex normals to length 1.

◆ operator+()

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

◆ operator+=()

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

◆ PaintUniformColor()

MeshBase& open3d::geometry::MeshBase::PaintUniformColor ( const Eigen::Vector3d & color )

inline

Assigns each vertex in the TriangleMesh the same color.

Parameters

color RGB colors of vertices.

◆ Rotate()

MeshBase & open3d::geometry::MeshBase::Rotate	(	const Eigen::Matrix3d &	R,
		const Eigen::Vector3d &	center
	)

overridevirtual

Apply rotation to the geometry coordinates and normals. Given a rotation matrix \(R\), and center \(c\), a given point \(p\) is transformed according to \(R (p - c) + c\).

Parameters

R	A 3x3 rotation matrix
center	Rotation center that is used for the rotation.

Implements open3d::geometry::Geometry3D.

Reimplemented in open3d::geometry::TriangleMesh.

◆ Scale()

MeshBase & open3d::geometry::MeshBase::Scale	(	const double	scale,
		const Eigen::Vector3d &	center
	)

overridevirtual

Apply scaling to the geometry coordinates. Given a scaling factor \(s\), and center \(c\), a given point \(p\) is transformed according to \(s (p - c) + c\).

Parameters

scale	The scale parameter that is multiplied to the points/vertices of the geometry.
center	Scale center that is used to resize the geometry.

Implements open3d::geometry::Geometry3D.

◆ Transform()

MeshBase & open3d::geometry::MeshBase::Transform ( const Eigen::Matrix4d & transformation )

overridevirtual

Apply transformation (4x4 matrix) to the geometry coordinates.

Implements open3d::geometry::Geometry3D.

Reimplemented in open3d::geometry::TriangleMesh.

◆ Translate()

MeshBase & open3d::geometry::MeshBase::Translate	(	const Eigen::Vector3d &	translation,
		bool	relative = `true`
	)

overridevirtual

Apply translation to the geometry coordinates.

Parameters

translation	A 3D vector to transform the geometry.
relative	If `true`, the `translation` is directly applied to the geometry. Otherwise, the geometry center is moved to the `translation`.

Implements open3d::geometry::Geometry3D.

Field Documentation

◆ vertex_colors_

std::vector<Eigen::Vector3d> open3d::geometry::MeshBase::vertex_colors_

RGB colors of vertices.

◆ vertex_normals_

std::vector<Eigen::Vector3d> open3d::geometry::MeshBase::vertex_normals_

Vertex normals.

◆ vertices_

std::vector<Eigen::Vector3d> open3d::geometry::MeshBase::vertices_

Vertex coordinates.

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

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

Public Types

Public Member Functions

Data Fields

Protected Member Functions

Additional Inherited Members

Detailed Description

Member Enumeration Documentation

◆ DeformAsRigidAsPossibleEnergy

◆ FilterScope

◆ SimplificationContraction

Constructor & Destructor Documentation

◆ MeshBase() [1/3]

◆ ~MeshBase()

◆ MeshBase() [2/3]

◆ MeshBase() [3/3]

Member Function Documentation

◆ Clear()

◆ ComputeConvexHull()

◆ GetAxisAlignedBoundingBox()

◆ GetCenter()

◆ GetMaxBound()

◆ GetMinBound()

◆ GetMinimalOrientedBoundingBox()

◆ GetOrientedBoundingBox()

◆ HasVertexColors()

◆ HasVertexNormals()

◆ HasVertices()

◆ IsEmpty()

◆ NormalizeNormals()

◆ operator+()

◆ operator+=()

◆ PaintUniformColor()

◆ Rotate()

◆ Scale()

◆ Transform()

◆ Translate()

Field Documentation

◆ vertex_colors_

◆ vertex_normals_

◆ vertices_