#include <Core/Math/Quadric.hpp>

Collaboration diagram for Ra::Core::Quadric< _DIM >:

Public Types
using	Matrix = Eigen::Matrix< Scalar, DIM, DIM >

using	Vector = Eigen::Matrix< Scalar, DIM, 1 >

Public Member Functions
	Quadric ()
	Construct an initialized quadric.

	Quadric (const Matrix &a, const Vector &b, double c)
	Construct and initialize a quadric.

	Quadric (const Quadric< DIM > &q)
	Construct a quadric from an other.

	Quadric (const Vector &n, Scalar ndotp)

const Matrix &	getA () const
	Getters and setters.

void	setA (const Matrix &a)

const Vector &	getB () const

void	setB (const Vector &b)

const double &	getC () const

void	setC (const double &c)

void	compute (const Vector &n, double ndotp)

Eigen::EigenSolver< Matrix3 >::EigenvalueType	computeEigenValuesA ()
	Computes eigen values and vectors of matrix A.

Eigen::EigenSolver< Matrix3 >::EigenvectorsType	computeEigenVectorsA ()

Quadric	operator+ (const Quadric &q) const
	Operators.

Quadric	operator* (const Scalar scal)

Quadric &	operator+= (const Quadric &q)

Quadric &	*operator=** (Scalar scal)

Static Public Attributes
static constexpr int	DIM = _DIM

Detailed Description

template<int _DIM>
class Ra::Core::Quadric< _DIM >

A representation for quadratic equation as v^T A v + 2 b^T v + c

Reminder on ProgressiveMesh

Calculate the Quadric of the edge Qe = sum(Qf) with f all the faces adjacent
to e

Calculate vmin = Ae^(-1) be                with Qe = (Ae, be, ce)

Calculate the error on the edge
    error = vmin^T Ae vmin + 2 be^T vmin + ce       with Qe = (Ae, be, ce)

Definition at line 27 of file Quadric.hpp.

Constructor & Destructor Documentation

◆ Quadric()

template<int DIM>

Ra::Core::Quadric< DIM >::Quadric	(	const Vector &	n,
		Scalar	ndotp
	)

inline

Create a quadric from a normal vector n and the scalar which represent the distance from the plane of normal n to the origin

See also: compute

Definition at line 91 of file Quadric.hpp.

Member Function Documentation

◆ compute()

template<int DIM>

void Ra::Core::Quadric< DIM >::compute	(	const Vector &	n,
		double	ndotp
	)

inline

Create a quadric from a normal vector n and the scalar which represent the distance from the plane of normal n to the origin

Deprecated:: Use constructor instead

Definition at line 98 of file Quadric.hpp.

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

/home/runner/work/Radium-Engine/Radium-Engine/src/Radium-Engine/src/Core/Math/Quadric.hpp

Public Types

Public Member Functions

Static Public Attributes