Euclid::WKS< Mesh > Class Template Reference

Wave kernel signature. More...

#include <WKS.h>

Public Types
using	FT = FT_t< Mesh >
using	Vec = Eigen::Matrix< FT, Eigen::Dynamic, 1 >
using	Mat = Eigen::Matrix< FT, Eigen::Dynamic, Eigen::Dynamic >

Public Member Functions
void	build (const Mesh &mesh, unsigned k=300)
	Build up the necessary computational components. More...
void	build (const Mesh &mesh, const Vec *eigenvalues, const Mat *eigenfunctions)
	Build up the necessary computational components. More...
template<typename Derived >
void	compute (Eigen::ArrayBase< Derived > &wks, unsigned escales=100, float emin=0.0f, float emax=-1.0f, float sigma=-1.0f)
	Compute wks for all vertices. More...

Detailed Description

template<typename Mesh>
class Euclid::WKS< Mesh >

WKS is a intrinsic, multiscale, local shape descriptor.

Reference

Aubry, M., Schlickewei U., Cremers D.. The wave kernel signature: A quantum mechanical approach to shape analysis. The IEEE International Conference on Computer Vision (ICCV), 2011.

Member Function Documentation

template<typename Mesh >

void Euclid::WKS< Mesh >::build	(	const Mesh &	mesh,
		unsigned	k = 300
	)

Compute eigen decomposition of the mesh Laplacian. Note that the result number of eigenstructures might be smaller than what is requested in the because of numerical issues and some may not converge.

Parameters

mesh	The target mesh.
k	Number of eigenvalues/eigenvectors to use.

template<typename Mesh >

void Euclid::WKS< Mesh >::build	(	const Mesh &	mesh,
		const Vec *	eigenvalues,
		const Mat *	eigenfunctions
	)

From precomputed eigen decomposition.

Parameters

mesh	The target mesh.
eigenvalues	Precomputed eigenvalues.
eigenfunctions	Precomputed eigenfunctions.

template<typename Mesh >

template<typename Derived >

void Euclid::WKS< Mesh >::compute	(	Eigen::ArrayBase< Derived > &	wks,
		unsigned	escales = 100,
		float	emin = 0.0f,
		float	emax = -1.0f,
		float	sigma = -1.0f
	)

Parameters

wks	Output wave kernel signatures
escales	Number of energy scales to use.
emin	The minimum energy scale. Setting emin >= emax will use the parameters described in the paper.
emax	The maximum energy scale. Setting emin >= emax will use the parameters described in the paper.
sigma	The variance of the log normal distribution. Setting sigma <= 0 will use the parameters described in the paper.

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

• WKS.h
• WKS.cpp