correa::Curvature Class Reference

#include <Curvature.h>

Public Member Functions
double	Willmore (Polygon &polygon)
double	curvOT (Polygon &curve1, Polygon &curve2)
void	curvHist (Polygon &polygon, int *nhist1, double *x1, double *hist1)
double	histOT (Polygon &curve1, Polygon &curve2)

Detailed Description

Curvature class. Used to calculate various curvature related properties.

Member Function Documentation

curvHist()

void correa::Curvature::curvHist	(	Polygon &	polygon,
		int *	nhist,
		double *	x,
		double *	hist )

Build histogram of "curvature" for a polygon describe what it does?

Parameters

curve1	Polygon representing the first curve
curve2	Polygon representing the second curve
nhist
x
hist

curvOT()

double correa::Curvature::curvOT	(	Polygon &	curve1,
		Polygon &	curve2 )

Calculate the Wasserstein distance between two curves, using the curvatures at each vertex to compute a cost matrix

Parameters

curve1	Polygon representing the first curve
curve2	Polygon representing the second curve

Returns

d_OT Wasserstein distance between two curves

histOT()

double correa::Curvature::histOT	(	Polygon &	curve1,
		Polygon &	curve2 )

Calculate the Wasserstein distance between two historgrams of curvatures

Parameters

curve1	Polygon representing the first curve
curve2	Polygon representing the second curve

Willmore()

double correa::Curvature::Willmore

(

Polygon &

polygon

)

Calculate the Willmore energy of a polygon.

Parameters

polygon

Polygon object

Returns

E Willmore energy

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

• Curvature.h