open3d::geometry::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

Data Fields
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.

Constructor & Destructor Documentation

Quadric() [1/2]

open3d::geometry::Quadric::Quadric ( )

inline

Quadric() [2/2]

open3d::geometry::Quadric::Quadric ( const Eigen::Vector4d &  plane, double  weight = 1  )

inline

Member Function Documentation

Eval()

double open3d::geometry::Quadric::Eval ( const Eigen::Vector3d &  v ) const

inline

IsInvertible()

bool open3d::geometry::Quadric::IsInvertible ( ) const

inline

Minimum()

Eigen::Vector3d open3d::geometry::Quadric::Minimum ( ) const

inline

operator+()

Quadric open3d::geometry::Quadric::operator+ ( const Quadric &  other ) const

inline

operator+=()

Quadric& open3d::geometry::Quadric::operator+= ( const Quadric &  other )

inline

Field Documentation

A_

Eigen::Matrix3d open3d::geometry::Quadric::A_

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

b_

Eigen::Vector3d open3d::geometry::Quadric::b_

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

c_

double open3d::geometry::Quadric::c_

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

---

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

• /home/runner/work/Open3D/Open3D/cpp/open3d/geometry/TriangleMeshSimplification.cpp (9238339 (Tue Mar 14 18:49:09 2023 -0700))