itk::CacheableScalarFunction Class Reference

#include <itkCacheableScalarFunction.h>

Inheritance diagram for itk::CacheableScalarFunction:

Detailed Description

function cache implementation

This is the base class for continuous scalar functions which needs cache for their pre-evaluated function returns.

The internal cache is created using the upper- and lower-bound domain values of the functional form (f(x))of subclasses of this class. So the cache only stores pre-evaluated values between f(lower-bound) and f(upper-bound).

To create a cache for continuous function, it uses sampling. With the given sample number , upper-bound, and lower-bound, it calculates interval within the ranges. It pre-evaluates and save f(x) where x = lower-bound + interval * [0 - sample number]

If a subclass of this class want to use a cache, it should explicitly call CreateCache(...) member function. GetCachedValue(x) will return pre-evaluated f(x) value. However, the return value from GetCachedValue(x) might be different from the exact return value from f(x) which is Evaluate(x) member function of subclasses of this class, because The GetCachedValue(x) member function internally converts x to cache table index and the conversion involves with truncation. So, users can think the cached value as an approximate to exact function return.

In some case, approximate values can be useful. For example, CompositeValleyFunction can be used as an M-estimator and it is currently used for MRIBiasFieldCorrectionFilter as an energy function. The bias field estimation requires calculation of energy values again and again for each iteration.

Definition at line 55 of file itkCacheableScalarFunction.h.


Public Types
typedef Array< MeasureType >	MeasureArrayType
typedef double	MeasureType
Public Member Functions
	CacheableScalarFunction ()
virtual MeasureType	Evaluate (MeasureType x)
double	GetCacheLowerBound ()
double	GetCacheUpperBound ()
double	GetInterval ()
long	GetNumberOfSamples ()
bool	IsCacheAvailable ()
virtual	~CacheableScalarFunction ()

MeasureType	GetCachedValue (MeasureType x)
Protected Member Functions
void	CreateCache (double lowerBound, double upperBound, long sampleSize)

Member Typedef Documentation

typedef Array<MeasureType> itk::CacheableScalarFunction::MeasureArrayType

Reimplemented in itk::CompositeValleyFunction.

Definition at line 66 of file itkCacheableScalarFunction.h.

typedef double itk::CacheableScalarFunction::MeasureType

Function's input and output value type.

Reimplemented in itk::CompositeValleyFunction.

Definition at line 65 of file itkCacheableScalarFunction.h.

Constructor & Destructor Documentation

itk::CacheableScalarFunction::CacheableScalarFunction ( )

Constructor.

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

Destructor.

Definition at line 62 of file itkCacheableScalarFunction.h.

Member Function Documentation

void itk::CacheableScalarFunction::CreateCache	(	double	lowerBound,
		double	upperBound,
		long	sampleSize
	)			`[protected]`

Create the internal cache table and fill it with pre-evaluated values.

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

y = f(x) Subclasses of this class should override this member function to provide their own functional operation .

Definition at line 84 of file itkCacheableScalarFunction.h.

MeasureType itk::CacheableScalarFunction::GetCachedValue ( MeasureType x ) [inline]

y = f(x) = (approximately) cache_table(index(x)) Get the function return using the internal cache table NOTE: Since the index calculation needs conversion from double to int, truncation happens. As a result, the return values from Evaluate(x) and GetCachedValue(x) may not be same for the same x.

Definition at line 96 of file itkCacheableScalarFunction.h.

Referenced by itk::CompositeValleyFunction::operator()().

double itk::CacheableScalarFunction::GetCacheLowerBound ( ) [inline]

Get the lower-bound of domain that is used for filling the cache table.

Definition at line 79 of file itkCacheableScalarFunction.h.

double itk::CacheableScalarFunction::GetCacheUpperBound ( ) [inline]

Get the upper-bound of domain that is used for filling the cache table.

Definition at line 76 of file itkCacheableScalarFunction.h.

double itk::CacheableScalarFunction::GetInterval ( ) [inline]

Gets the interval of each cell between the upper and lower bound

Definition at line 88 of file itkCacheableScalarFunction.h.

long itk::CacheableScalarFunction::GetNumberOfSamples ( ) [inline]