Quadric Class Reference

Public Member Functions
	Quadric ()
	Quadric (const Eigen::Vector4d &plane, double weight=1)
Quadric &	operator+= (const Quadric &other)
Quadric	operator+ (const Quadric &other) const
double	Eval (const Eigen::Vector3d &v) const
bool	IsInvertible () const
Eigen::Vector3d	Minimum () const

Public Attributes
Eigen::Matrix3d	A_
	A_ = n . n^T, where n is the plane normal. More...
Eigen::Vector3d	b_
double	c_
	c_ = d . d, where d the non-normal component pf the plane parameters More...

Detailed Description

Error quadric that is used to minimize the squared distance of a point to its neigbhouring triangle planes. Cf. "Simplifying Surfaces with Color and Texture using Quadric Error Metrics" by Garland and Heckbert.

Definition at line 25 of file TriangleMeshSimplification.cpp.

Constructor & Destructor Documentation

Quadric() [1/2]

Quadric::Quadric ( )

inline

Definition at line 27 of file TriangleMeshSimplification.cpp.

Quadric() [2/2]

Quadric::Quadric ( const Eigen::Vector4d &  plane, double  weight = 1  )

inline

Definition at line 33 of file TriangleMeshSimplification.cpp.

Member Function Documentation

Eval()

double Quadric::Eval ( const Eigen::Vector3d &  v ) const

inline

Definition at line 55 of file TriangleMeshSimplification.cpp.

Referenced by ccMesh::SimplifyQuadricDecimation().

IsInvertible()

bool Quadric::IsInvertible ( ) const

inline

Definition at line 61 of file TriangleMeshSimplification.cpp.

References e.

Referenced by ccMesh::SimplifyQuadricDecimation(), and ccMesh::SimplifyVertexClustering().

Minimum()

Eigen::Vector3d Quadric::Minimum ( ) const

inline

Definition at line 63 of file TriangleMeshSimplification.cpp.

Referenced by ccMesh::SimplifyQuadricDecimation(), and ccMesh::SimplifyVertexClustering().

operator+()

Quadric Quadric::operator+ ( const Quadric &  other ) const

inline

Definition at line 47 of file TriangleMeshSimplification.cpp.

References A_, b_, and c_.

operator+=()

Quadric& Quadric::operator+= ( const Quadric &  other )

inline

Definition at line 40 of file TriangleMeshSimplification.cpp.

References A_, b_, and c_.

Member Data Documentation

A_

Eigen::Matrix3d Quadric::A_

A_ = n . n^T, where n is the plane normal.

Definition at line 67 of file TriangleMeshSimplification.cpp.

Referenced by operator+(), and operator+=().

b_

Eigen::Vector3d Quadric::b_

b_ = d . n, where n is the plane normal and d the non-normal component of the plane parameters

Definition at line 70 of file TriangleMeshSimplification.cpp.

Referenced by operator+(), and operator+=().

c_

double Quadric::c_

c_ = d . d, where d the non-normal component pf the plane parameters

Definition at line 72 of file TriangleMeshSimplification.cpp.

Referenced by operator+(), and operator+=().

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

• /root/ACloudViewer/libs/CV_db/src/TriangleMeshSimplification.cpp