deformablemesh.geometry

Class CurvatureCalculator

java.lang.Object

deformablemesh.geometry.CurvatureCalculator

public class CurvatureCalculator
extends Object

A class used for calculating curvatures based on "Discrete Differential-Geometry Operators for Triangled 2-Manifolds Mark Meyer, Mathieu Desbrun, Peter Schroeder, and Alan H. Barr

Constructor Summary

Constructors

Constructor and Description
CurvatureCalculator(DeformableMesh3D mesh)

Method Summary

Modifier and Type	Method and Description
static double	calculateAverageCurvature(DeformableMesh3D sharedFaces) Calculates the average kappaH value for the whole mesh.
List<double[]>	calculateCurvature() Calculates the curvature and normal at each point.
double	calculateCurvatureGradient(int i) Can we calculate a gradient of curvatures.
static double[]	calculateMeanCurvatureNormal(Node3D node, List<Triangle3D> triangles)
static double[]	calculateMeanCurvatureNormalMixedArea(Node3D node, List<Triangle3D> triangles) This takes a node and calculates the relevant
static double[]	calculateMeanNormal(Node3D node, List<Triangle3D> triangles) Calculates the normal
double	calculateMixedArea(int index) Overload for accessing mixed area via the index.
double	calculateMixedArea(Node3D node)
static double	calculateMixedArea(Node3D node, List<Triangle3D> triangles)
List<double[]>	createCurvatureHistogram()
List<double[]>	createCurvatureHistogram(List<double[]> curvatures)
Set<Node3D>	getNeighbors(Node3D node)
double[]	getNormal(int index) Calculates the normal based on the mean normal.
static double[]	getNormalAndCurvature(Node3D node, List<Triangle3D> triangles)
static void	main(String[] args)
void	prepareMap()
void	setMaxCurvature(double m)
void	setMinCurvature(double i)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

CurvatureCalculator

public CurvatureCalculator(DeformableMesh3D mesh)

Method Detail

prepareMap

public void prepareMap()

calculateMeanNormal

public static double[] calculateMeanNormal(Node3D node,
                                           List<Triangle3D> triangles)

Calculates the normal

Parameters:

node -

triangles -

Returns:

getNormal

public double[] getNormal(int index)

Calculates the normal based on the mean normal.

Parameters:

index - of node to find normal at

Returns:

normalized vector representing the mean normal at the node.

calculateMeanCurvatureNormalMixedArea

public static double[] calculateMeanCurvatureNormalMixedArea(Node3D node,
                                                             List<Triangle3D> triangles)

This takes a node and calculates the relevant

Parameters:

node -

triangles -

Returns:

calculateMeanCurvatureNormal

public static double[] calculateMeanCurvatureNormal(Node3D node,
                                                    List<Triangle3D> triangles)

Parameters:

node -

triangles -

Returns:

calculateMixedArea

public double calculateMixedArea(Node3D node)

getNeighbors

public Set<Node3D> getNeighbors(Node3D node)

calculateCurvatureGradient

public double calculateCurvatureGradient(int i)

Can we calculate a gradient of curvatures.

Parameters:

i -

Returns:

calculateMixedArea

public double calculateMixedArea(int index)

Overload for accessing mixed area via the index.

Parameters:

index - index of node in mesh.

Returns:

mixed area.

calculateMixedArea

public static double calculateMixedArea(Node3D node,
                                        List<Triangle3D> triangles)

getNormalAndCurvature

public static double[] getNormalAndCurvature(Node3D node,
                                             List<Triangle3D> triangles)

calculateCurvature

public List<double[]> calculateCurvature()

Calculates the curvature and normal at each point.

Returns:

x, y, z, Kappa, nx, ny, nz

createCurvatureHistogram

public List<double[]> createCurvatureHistogram(List<double[]> curvatures)

createCurvatureHistogram

public List<double[]> createCurvatureHistogram()

setMinCurvature

public void setMinCurvature(double i)

setMaxCurvature

public void setMaxCurvature(double m)

main

public static void main(String[] args)
                 throws IOException

Throws:

IOException

calculateAverageCurvature

public static double calculateAverageCurvature(DeformableMesh3D sharedFaces)

Calculates the average kappaH value for the whole mesh. kappaH is 1/2 the value of kappa returned from get normal and curvature.

Parameters:

sharedFaces -

Returns: