SurfaceMeshCurvature Class Reference

Compute per-vertex curvatures, i.e., principle (min, max), mean, Gaussian. More...

#include <easy3d/algo/surface_mesh_curvature.h>

Public Member Functions
	SurfaceMeshCurvature (SurfaceMesh *mesh)
	Constructor that initializes the curvature analysis with a given mesh.
	~SurfaceMeshCurvature ()
	Destructor.
void	analyze (unsigned int post_smoothing_steps=0)
	Computes principle curvature information for each vertex.
void	analyze_tensor (unsigned int post_smoothing_steps=0, bool two_ring_neighborhood=false)
	Computes principle curvature information for each vertex using tensor analysis.
void	compute_mean_curvature ()
void	compute_gauss_curvature ()
void	compute_max_abs_curvature ()
	Computes the maximum absolute curvature.
float	mean_curvature (SurfaceMesh::Vertex v) const
	Returns the mean curvature of a given vertex.
float	gauss_curvature (SurfaceMesh::Vertex v) const
	Returns the Gaussian curvature of a given vertex.
float	min_curvature (SurfaceMesh::Vertex v) const
	Returns the minimum (signed) curvature of a given vertex.
float	max_curvature (SurfaceMesh::Vertex v) const
	Returns the maximum (signed) curvature of a given vertex.
float	max_abs_curvature (SurfaceMesh::Vertex v) const
	Returns the maximum absolute curvature of a given vertex.

Detailed Description

Compute per-vertex curvatures, i.e., principle (min, max), mean, Gaussian.

Curvature values for boundary vertices are interpolated from their interior neighbors. Curvature values can be smoothed. For more details, please refer to the following papers:

• Discrete Differential-Geometry Operators for Triangulated 2-Manifolds. Meyer et al. 2003.
• Restricted Delaunay triangulations and normal cycle. Cohen-Steiner and Morvan. 2003.

Constructor & Destructor Documentation

SurfaceMeshCurvature()

SurfaceMeshCurvature ( SurfaceMesh * mesh )

explicit

Constructor that initializes the curvature analysis with a given mesh.

Parameters

mesh	The surface mesh to analyze.

Member Function Documentation

analyze()

void analyze

(

unsigned int

post_smoothing_steps = 0

)

Computes principle curvature information for each vertex.

Parameters

post_smoothing_steps

Number of smoothing iterations to apply after computing curvatures.

Upon finish, the principle curvatures are stored as vertex properties "v:curv-min" and "v:curv-max".

analyze_tensor()

void analyze_tensor	(	unsigned int	post_smoothing_steps = 0,
		bool	two_ring_neighborhood = false )

Computes principle curvature information for each vertex using tensor analysis.

Parameters

post_smoothing_steps	Number of smoothing iterations to apply after computing curvatures.
two_ring_neighborhood	If true, uses a two-ring neighborhood for the analysis.

Upon finish, the principle curvatures are stored as vertex properties "v:curv-min" and "v:curv-max".

compute_gauss_curvature()

void compute_gauss_curvature

(

)

Computes the Gaussian curvature.

Attention

This function must be called after calling to the "analyze" function.

compute_max_abs_curvature()

void compute_max_abs_curvature

(

)

Computes the maximum absolute curvature.

Attention

This function must be called after calling the "analyze" function.

compute_mean_curvature()

void compute_mean_curvature

(

)

Computes the mean curvature.

Attention

This function must be called after calling to the "analyze" function.

gauss_curvature()

float gauss_curvature ( SurfaceMesh::Vertex v ) const

inline

Returns the Gaussian curvature of a given vertex.

Parameters

v	The vertex for which to return the Gaussian curvature.

Returns

The Gaussian curvature.

max_abs_curvature()

float max_abs_curvature ( SurfaceMesh::Vertex v ) const

inline

Returns the maximum absolute curvature of a given vertex.

Parameters

v	The vertex for which to return the maximum absolute curvature.

Returns

The maximum absolute curvature.

max_curvature()

float max_curvature ( SurfaceMesh::Vertex v ) const

inline

Returns the maximum (signed) curvature of a given vertex.

Parameters

v	The vertex for which to return the maximum curvature.

Returns

The maximum curvature.

mean_curvature()

float mean_curvature ( SurfaceMesh::Vertex v ) const

inline

Returns the mean curvature of a given vertex.

Parameters

v	The vertex for which to return the mean curvature.

Returns

The mean curvature.

min_curvature()

float min_curvature ( SurfaceMesh::Vertex v ) const

inline

Returns the minimum (signed) curvature of a given vertex.

Parameters

v	The vertex for which to return the minimum curvature.

Returns

The minimum curvature.

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

• G:/3_code/Easy3D/easy3d/algo/surface_mesh_curvature.h
• G:/3_code/Easy3D/easy3d/algo/surface_mesh_curvature.cpp