volcart::segmentation::EnergyMetrics Class Reference

A collection of energy metrics for evaluating a FittedCurve. More...

#include <vc/segmentation/lrps/EnergyMetrics.hpp>

Static Public Member Functions
static double	ActiveContourInternal (const FittedCurve &curve, double k1, double k2)
	Calculate the active contour internal energy of a FittedCurve. More...
static double	TotalEnergy (const FittedCurve &curve, double alpha, double k1, double k2, double beta, double delta)
	Combinatorial energy metric for a FittedCurve. More...
static double	AbsCurvatureSum (const FittedCurve &curve)
	Sum of the absolute value of local curvature at each point along the curve. More...
static double	LocalWindowedArcLength (const FittedCurve &curve, int index, int windowSize)
	Calculate the arc length of the curve within a window centered at a point along the curve. More...
static double	WindowedArcLength (const FittedCurve &curve, int windowSize)
	Average LocalWindowedArcLength() across the entire curve. More...

Detailed Description

A collection of energy metrics for evaluating a FittedCurve.

Definition at line 15 of file EnergyMetrics.hpp.

Member Function Documentation

AbsCurvatureSum()

static double volcart::segmentation::EnergyMetrics::AbsCurvatureSum ( const FittedCurve &  curve )

static

Sum of the absolute value of local curvature at each point along the curve.

Parameters

curve

Input curve

ActiveContourInternal()

static double volcart::segmentation::EnergyMetrics::ActiveContourInternal ( const FittedCurve &  curve, double  k1, double  k2  )

static

Calculate the active contour internal energy of a FittedCurve.

k1 and k2 are user-defined weights on the first and second derivatives of the curve.

From Wikipedia: "These control the internal energy function's sensitivity to the amount of stretch in the snake and the amount of curvature in the snake, respectively, and thereby control the number of constraints on the shape of the snake. In practice, a large weight k1 for the continuity term penalizes changes in distances between points in the contour. A large weight k2 for the smoothness term penalizes oscillations in the contour and will cause the contour to act as a thin plate."

See also

https://en.wikipedia.org/wiki/Active_contour_model#Internal_energy

Parameters

curve	Input curve
k1	Stretch weight factor
k2	Curvature weight factor

LocalWindowedArcLength()

static double volcart::segmentation::EnergyMetrics::LocalWindowedArcLength ( const FittedCurve &  curve, int  index, int  windowSize  )

static

Calculate the arc length of the curve within a window centered at a point along the curve.

Parameters

curve	Input curve
index	Center point of calculation window
windowSize	Size of calculation window

TotalEnergy()

static double volcart::segmentation::EnergyMetrics::TotalEnergy ( const FittedCurve &  curve, double  alpha, double  k1, double  k2, double  beta, double  delta  )

static

Combinatorial energy metric for a FittedCurve.

Calculates a weighted sum of ActiveContourInternal(), AbsCurvatureSum(), and WindowedArcLength().

To disable a metric, simply set its coefficient to zero.

Parameters

curve	Input curve
alpha	ActiveContourInternal() total weight factor
k1	ActiveContourInternal() stretch weight factor
k2	ActiveContourInternal() curvature weight factor
beta	AbsCurvatureSum() total weight factor
delta	WindowedArcLength() total weight factor

WindowedArcLength()

static double volcart::segmentation::EnergyMetrics::WindowedArcLength ( const FittedCurve &  curve, int  windowSize  )

static

Average LocalWindowedArcLength() across the entire curve.

Parameters

curve	Input curve
windowSize	Size of calculation window

---

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

• vc/segmentation/lrps/EnergyMetrics.hpp