itk::CompositeValleyFunction Class Reference

Multiple valley shaped curve function. More...

#include <itkCompositeValleyFunction.h>

Inheritance diagram for itk::CompositeValleyFunction:

[legend]Collaboration diagram for itk::CompositeValleyFunction:

[legend]List of all members.

Public Types
typedef CacheableScalarFunction	Superclass
typedef Superclass::MeasureType	MeasureType
typedef Superclass::MeasureArrayType	MeasureArrayType
Public Member Functions
	CompositeValleyFunction (const MeasureArrayType &classMeans, const MeasureArrayType &classSigmas)
virtual	~CompositeValleyFunction ()
double	GetUpperBound ()
double	GetLowerBound ()
MeasureType	operator() (MeasureType x)
MeasureType	Evaluate (MeasureType x)
MeasureType	valley (MeasureType d)
Protected Member Functions
void	AddNewClass (double mean, double sigma)
void	Initialize ()

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Detailed Description

Multiple valley shaped curve function.

Its functional form f(x) is : sum (valley( (x - mean[i]) / sigma[i] ) ) over i from 0 to the number of target classes where valley(x) = 1 - 1 / (1 + x^2 / 3)

The plotting of the function return shows multiple lowest points at each mean[i] position. There are two more important shape parameters for this function, higher-bound and lower-bound. Upper-bound will be highest mean value among target classes' means + its sigma value * 9, and lower-bound will be lowest mean value among target classes' means - its sigma value * 9

For example, if there are two target classes with their means at 4 and 6. The plotting may look like the following:

| |********* ****** | * * | * * * | * * * * | * * * * | * * * * | * * ---+-----+------*------*------- | 2 4 6 |

This is a part of the bias correction methods and implementaion that was initially developed and implemented by Martin Styner, Univ. of North Carolina at Chapel Hill, and his colleagues.

For more details. refer to the following articles. "Parametric estimate of intensity inhomogeneities applied to MRI" Martin Styner, G. Gerig, Christian Brechbuehler, Gabor Szekely, IEEE TRANSACTIONS ON MEDICAL IMAGING; 19(3), pp. 153-165, 2000, (http://www.cs.unc.edu/~styner/docs/tmi00.pdf)

"Evaluation of 2D/3D bias correction with 1+1ES-optimization" Martin Styner, Prof. Dr. G. Gerig (IKT, BIWI, ETH Zuerich), TR-197 (http://www.cs.unc.edu/~styner/docs/StynerTR97.pdf)

Definition at line 96 of file itkCompositeValleyFunction.h.

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Member Typedef Documentation

typedef Superclass::MeasureArrayType itk::CompositeValleyFunction::MeasureArrayType

Reimplemented from itk::CacheableScalarFunction. Definition at line 105 of file itkCompositeValleyFunction.h.

typedef Superclass::MeasureType itk::CompositeValleyFunction::MeasureType

Cost value type. Reimplemented from itk::CacheableScalarFunction. Definition at line 104 of file itkCompositeValleyFunction.h. Referenced by Evaluate().

typedef CacheableScalarFunction itk::CompositeValleyFunction::Superclass

Superclass to this class. Definition at line 101 of file itkCompositeValleyFunction.h.

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Constructor & Destructor Documentation

itk::CompositeValleyFunction::CompositeValleyFunction (  const MeasureArrayType &  classMeans, const MeasureArrayType &  classSigmas )

Constructor.

virtual itk::CompositeValleyFunction::~CompositeValleyFunction (   )  [inline, virtual]

Destructor. Definition at line 112 of file itkCompositeValleyFunction.h.

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Member Function Documentation

void itk::CompositeValleyFunction::AddNewClass (  double  mean, double  sigma )  [inline, protected]

Definition at line 151 of file itkCompositeValleyFunction.h.

MeasureType itk::CompositeValleyFunction::Evaluate (  MeasureType  x  )  [inline, virtual]

Evalaute the function at point x. Reimplemented from itk::CacheableScalarFunction. Definition at line 133 of file itkCompositeValleyFunction.h. References MeasureType.

double itk::CompositeValleyFunction::GetLowerBound (   )  [inline]

Get energy table's lower bound. Definition at line 118 of file itkCompositeValleyFunction.h.

double itk::CompositeValleyFunction::GetUpperBound (   )  [inline]

Get energy table's higher bound. Definition at line 115 of file itkCompositeValleyFunction.h.

void itk::CompositeValleyFunction::Initialize (   )  [protected]

calculate and save energy values

MeasureType itk::CompositeValleyFunction::operator() (  MeasureType  x  )  [inline]

Gets an energy value for the intensity difference between a pixel and its corresponding bias. Definition at line 122 of file itkCompositeValleyFunction.h.

MeasureType itk::CompositeValleyFunction::valley (  MeasureType  d  )  [inline]

Get an energy value for the valley. Definition at line 147 of file itkCompositeValleyFunction.h.

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

• itkCompositeValleyFunction.h

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