Functions
template<template< class D > class C, class D >
float	Average (C< D > data)
	Computes and returns the average of the intensities. More...

template<template< class D > class C, class D >
float	Average (C< D > data, size_t first, size_t size)
	Computes and returns the average of the intensities. More...

template<class D >
float	Baddeley (const Image< D > &src_distance_img, const Image< D > &tgt_distance_img)
	Computes Baddeley's measure. See A.J. Baddeley, An error metric for binary images, Robust Computer Vision: More...

template<template< class D > class C, class D >
float	Dice (const C< D > &src_label, const C< D > &tgt_label)
	Computes and returns the value given by Dice metric as comparing src_label and tgt_label. More...

template<class D >
float	Dice (const Image< D > &src_label, const Image< D > &tgt_label, float dist)
	Computes and returns the value given by Dice metric as comparing src_label and tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions. More...

template<template< class D > class C, class D >
float	Jaccard (const C< D > &src_label, const C< D > &tgt_label)
	Computes and returns the value given by Jaccard metric as comparing src_label and tgt_label. More...

template<class D >
float	Jaccard (const Image< D > &src_label, const Image< D > &tgt_label, float dist)
	Computes and returns the value given by Jaccard metric as comparing src_label and tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions. More...

template<template< class D > class C, class D >
float	Kappa (const C< D > &src_label, const C< D > &tgt_label)
	Computes and returns the value given by Kappa metric as comparing src_label and tgt_label. More...

template<class D >
float	Kappa (const Image< D > &src_label, const Image< D > &tgt_label, float dist)
	Computes and returns the value given by Kappa metric as comparing src_label and tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions. More...

template<template< class D > class C, class D >
D	MedianAbsoluteDeviation (const C< D > &data)
	Computes and returns the median absolute deviation. More...

template<template< class D > class C, class D >
float	ObservedAgreement (const C< D > &src_label, const C< D > &tgt_label)
	Computes and returns the value given by Observed Agreement metric as comparing src_label and tgt_label. More...

template<class D >
float	ObservedAgreement (const Image< D > &src_label, const Image< D > &tgt_label, float dist)
	Computes and returns the value given by Observed Agreement metric as comparing src_label and tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions. More...

template<template< class D > class C, class D >
std::tuple< size_t, size_t, size_t, size_t >	PositiveNegative (const C< D > &src_label, const C< D > &tgt_label)
	Computes and returns the number of true positive, true negative, false positive, and false negative pixels as comparing src_label to tgt_label. More...

template<class D >
std::tuple< size_t, size_t, size_t, size_t >	PositiveNegative (const Image< D > &src_label, const Image< D > &tgt_label, float dist)
	Computes and returns the number of true positive, true negative, false positive, and false negative pixels as comparing src_label to tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions. More...

template<template< class D > class C, class D >
size_t	TruePositive (const C< D > &src_label, const C< D > &tgt_label)
	Computes and returns the number of true positive pixels as comparing src_label and tgt_label. More...

template<class D >
size_t	TruePositive (const Image< D > &src_label, const Image< D > &tgt_label, float dist)
	Computes and returns the number of true positive pixels as comparing src_label and tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions. More...

template<template< class D > class C, class D >
size_t	TrueNegative (const C< D > &src_label, const C< D > &tgt_label)
	Computes and returns the number of true negative pixels as comparing src_label and tgt_label. More...

template<class D >
size_t	TrueNegative (const Image< D > &src_label, const Image< D > &tgt_label, float dist)
	Computes and returns the number of true negative pixels as comparing src_label and tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions. More...

template<template< class D > class C, class D >
size_t	FalsePositive (const C< D > &src_label, const C< D > &tgt_label)
	Computes and returns the number of false positive pixels as validating src_label to tgt_label. More...

template<class D >
size_t	FalsePositive (const Image< D > &src_label, const Image< D > &tgt_label, float dist)
	Computes and returns the number of false positive pixels as validating src_label to tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions. More...

template<template< class D > class C, class D >
size_t	FalseNegative (const C< D > &src_label, const C< D > &tgt_label)
	Computes and returns the number of false negative pixels as validating src_label to tgt_label. More...

template<class D >
size_t	FalseNegative (const Image< D > &src_label, const Image< D > &tgt_label, float dist)
	Computes and returns the number of false negative pixels as validating src_label to tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions. More...

template<template< class D > class C, class D >
float	StandardDeviation (C< D > data)
	Computes and returns the standard deviation of the intensities. More...

template<template< class D > class C, class D >
float	StandardDeviation (C< D > data, size_t first, size_t size)
	Computes and returns the standard deviation of the intensities. More...

template<template< class D > class C, class D >
float	StandardDeviation (C< D > data, float average)
	Computes and returns the standard deviation of the intensities. More...

template<template< class D > class C, class D >
float	StandardDeviation (C< D > data, size_t first, size_t size, float average)
	Computes and returns the standard deviation of the intensities. More...

Function Documentation

template<template< class D > class C, class D >

float Bial::Statistics::Average ( C< D > data )

Computes and returns the average of the intensities.

Date: 2013/Nov/26

Parameters

data	Input data.

Returns: The average of the intensities.

Warning: none.

template<template< class D > class C, class D >

float Bial::Statistics::Average	(	C< D >	data,
		size_t	first,
		size_t	size
	)

Computes and returns the average of the intensities.

Date: 2013/Dec/06

Parameters

data	Input data.
first	First element of input container.
size	Number of elements to be used.

Returns: The average of the intensities.

Warning: none.

template<class D >

float Bial::Statistics::Baddeley	(	const Image< D > &	src_distance_img,
		const Image< D > &	tgt_distance_img
	)

Computes Baddeley's measure. See A.J. Baddeley, An error metric for binary images, Robust Computer Vision:

Date: 2016/Feb/01

Parameters

src_distance_img	A distance transform from a binary boundary image.
tgt_distance_img	A distance transform from a binary boundary image.

Returns: Baddeley's measure, modified to run only over the union of boundary pixels. Quality of Vision Algorithms, Wichmann Verlag Karlsruhe, 1992, pp. 59–78.

Warning: none.

template<template< class D > class C, class D >

float Bial::Statistics::Dice	(	const C< D > &	src_label,
		const C< D > &	tgt_label
	)

Computes and returns the value given by Dice metric as comparing src_label and tgt_label.

Date: 2013/Nov/14

Parameters

src_label	A binary label data.
tgt_label	A binary label data.

Returns: The value given by Dice metric as comparing src_label and tgt_label.

Warning: none.

template<class D >

float Bial::Statistics::Dice	(	const Image< D > &	src_label,
		const Image< D > &	tgt_label,
		float	dist
	)

Computes and returns the value given by Dice metric as comparing src_label and tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions.

Date: 2015/May/26

Parameters

src_label	A binary label data.
tgt_label	A binary label data.
dist	Maximum distance between src and tgt labels.

Returns: The value given by Dice metric as comparing src_label and tgt_label.

Warning: none.

template<template< class D > class C, class D >

size_t Bial::Statistics::FalseNegative	(	const C< D > &	src_label,
		const C< D > &	tgt_label
	)

Computes and returns the number of false negative pixels as validating src_label to tgt_label.

Date: 2013/Nov/14

Parameters

src_label	A binary label data.
tgt_label	A binary label data.

Returns: The number of false negative pixels as validating src_label to tgt_label.

Warning: none.

template<class D >

size_t Bial::Statistics::FalseNegative	(	const Image< D > &	src_label,
		const Image< D > &	tgt_label,
		float	dist
	)

Computes and returns the number of false negative pixels as validating src_label to tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions.

Date: 2015/May/26

Parameters

src_label	A binary label data.
tgt_label	A binary label data.
dist	Maximum distance between src and tgt labels.

Returns: The number of false negative pixels as validating src_label to tgt_label.

Warning: none.

template<template< class D > class C, class D >

size_t Bial::Statistics::FalsePositive	(	const C< D > &	src_label,
		const C< D > &	tgt_label
	)

Computes and returns the number of false positive pixels as validating src_label to tgt_label.

Date: 2013/Nov/14

Parameters

src_label	A binary label data.
tgt_label	A binary label data.

Returns: The number of false positive pixels as validating src_label to tgt_label.

Warning: none.

template<class D >

size_t Bial::Statistics::FalsePositive	(	const Image< D > &	src_label,
		const Image< D > &	tgt_label,
		float	dist
	)

Computes and returns the number of false positive pixels as validating src_label to tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions.

Date: 2015/May/26

Parameters

src_label	A binary label data.
tgt_label	A binary label data.
dist	Maximum distance between src and tgt labels.

Returns: The number of false positive pixels as validating src_label to tgt_label.

Warning: none.

template<template< class D > class C, class D >

float Bial::Statistics::Jaccard	(	const C< D > &	src_label,
		const C< D > &	tgt_label
	)

Computes and returns the value given by Jaccard metric as comparing src_label and tgt_label.

Date: 2013/Nov/14

Parameters

src_label	A binary label data.
tgt_label	A binary label data.

Returns: The value given by Jaccard metric as comparing src_label and tgt_label.

Warning: none.

template<class D >

float Bial::Statistics::Jaccard	(	const Image< D > &	src_label,
		const Image< D > &	tgt_label,
		float	dist
	)

Computes and returns the value given by Jaccard metric as comparing src_label and tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions.

Date: 2015/May/26

Parameters

src_label	A binary label data.
tgt_label	A binary label data.
dist	Maximum distance between src and tgt labels.

Returns: The value given by Jaccard metric as comparing src_label and tgt_label.

Warning: none.

template<template< class D > class C, class D >

float Bial::Statistics::Kappa	(	const C< D > &	src_label,
		const C< D > &	tgt_label
	)

Computes and returns the value given by Kappa metric as comparing src_label and tgt_label.

Date: 2013/Nov/14

Parameters

src_label	A binary label data.
tgt_label	A binary label data.

Returns: The value given by Kappa metric as comparing src_label and tgt_label.

Warning: none.

template<class D >

float Bial::Statistics::Kappa	(	const Image< D > &	src_label,
		const Image< D > &	tgt_label,
		float	dist
	)

Computes and returns the value given by Kappa metric as comparing src_label and tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions.

Date: 2015/May/26

Parameters

src_label	A binary label data.
tgt_label	A binary label data.
dist	Maximum distance between src and tgt labels.

Returns: The value given by Kappa metric as comparing src_label and tgt_label.

Warning: none.

template<template< class D > class C, class D >

D Bial::Statistics::MedianAbsoluteDeviation ( const C< D > & data )

Computes and returns the median absolute deviation.

Date: 2012/Dec/04

Parameters

data	Input data.

Returns: The median absolute deviation.

Warning: none.

template<template< class D > class C, class D >

float Bial::Statistics::ObservedAgreement	(	const C< D > &	src_label,
		const C< D > &	tgt_label
	)

Computes and returns the value given by Observed Agreement metric as comparing src_label and tgt_label.

Date: 2013/Nov/14

Parameters

src_label	A binary label data.
tgt_label	A binary label data.

Returns: The value given by Observed Agreement metric as comparing src_label and tgt_label.

Warning: none.

template<class D >

float Bial::Statistics::ObservedAgreement	(	const Image< D > &	src_label,
		const Image< D > &	tgt_label,
		float	dist
	)

Computes and returns the value given by Observed Agreement metric as comparing src_label and tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions.

Date: 2015/May/26

Parameters

src_label	A binary label data.
tgt_label	A binary label data.
dist	Maximum distance between src and tgt labels.

Returns: The value given by Observed Agreement metric as comparing src_label and tgt_label.

Warning: none.

template<template< class D > class C, class D >

std::tuple< size_t, size_t, size_t, size_t > Bial::Statistics::PositiveNegative	(	const C< D > &	src_label,
		const C< D > &	tgt_label
	)

Computes and returns the number of true positive, true negative, false positive, and false negative pixels as comparing src_label to tgt_label.

Date: 2015/May/26

Parameters

src_label	A binary label data.
tgt_label	A binary label data.

Returns: The number of true positive, true negative, false positive, and false negative pixels as comparing src_label to tgt_label.

Warning: none.

template<class D >

std::tuple< size_t, size_t, size_t, size_t > Bial::Statistics::PositiveNegative	(	const Image< D > &	src_label,
		const Image< D > &	tgt_label,
		float	dist
	)

Computes and returns the number of true positive, true negative, false positive, and false negative pixels as comparing src_label to tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions.

Date: 2015/May/26

Parameters

src_label	A binary label data.
tgt_label	A binary label data.
dist	A maximum threshold for the distance between src and tgt labels.

Returns: The number of true positive, true negative, false positive, and false negative pixels as comparing src_label to tgt_label.

Warning: none.

template<template< class D > class C, class D >

float Bial::Statistics::StandardDeviation ( C< D > data )

Computes and returns the standard deviation of the intensities.

Date: 2013/Nov/26

Parameters

data	Input data.

Returns: The standard deviation of the intensities.

Warning: none.

template<template< class D > class C, class D >

float Bial::Statistics::StandardDeviation	(	C< D >	data,
		size_t	first,
		size_t	size
	)

Computes and returns the standard deviation of the intensities.

Date: 2013/Dec/06

Parameters

data	Input data.
first	First element of input container.
size	Number of elements to be used.

Returns: The standard deviation of the intensities.

Warning: none.

template<template< class D > class C, class D >

float Bial::Statistics::StandardDeviation	(	C< D >	data,
		float	average
	)

Computes and returns the standard deviation of the intensities.

Date: 2013/Nov/26

Parameters

data	Input data.
average	The average of the intensity of the input data.

Returns: The standard deviation of the intensities.

Warning: none.

template<template< class D > class C, class D >

float Bial::Statistics::StandardDeviation	(	C< D >	data,
		size_t	first,
		size_t	size,
		float	average
	)

Computes and returns the standard deviation of the intensities.

Date: 2013/Dec/06

Parameters

data	Input data.
first	First element of input container.
size	Number of elements to be used.
average	The average of the intensity of the input data.

Returns: The standard deviation of the intensities.

Warning: none.

template<template< class D > class C, class D >

size_t Bial::Statistics::TrueNegative	(	const C< D > &	src_label,
		const C< D > &	tgt_label
	)

Computes and returns the number of true negative pixels as comparing src_label and tgt_label.

Date: 2013/Nov/14

Parameters

src_label	A binary label data.
tgt_label	A binary label data.

Returns: The number of true negative pixels as comparing src_label and tgt_label.

Warning: none.

template<class D >

size_t Bial::Statistics::TrueNegative	(	const Image< D > &	src_label,
		const Image< D > &	tgt_label,
		float	dist
	)

Computes and returns the number of true negative pixels as comparing src_label and tgt_label. This function was created to compute the statistics comparing two edge or boundaries, instead of two regions. Use the overloaded function without 'dist' parameter for comparing regions.

Date: 2015/May/26

Parameters

src_label	A binary label data.
tgt_label	A binary label data.
dist	Maximum distance between src and tgt labels.

Returns: The number of true negative pixels as comparing src_label and tgt_label.

Warning: none.

template<template< class D > class C, class D >

size_t Bial::Statistics::TruePositive	(	const C< D > &	src_label,
		const C< D > &	tgt_label
	)

Computes and returns the number of true positive pixels as comparing src_label and tgt_label.

Date: 2013/Nov/14

Parameters

src_label	A binary label data.
tgt_label	A binary label data.

Returns: The number of true positive pixels as comparing src_label and tgt_label.

Warning: none.

template<class D >

size_t Bial::Statistics::TruePositive	(	const Image< D > &	src_label,
		const Image< D > &	tgt_label,
		float	dist
	)

Computes and returns the number of true positive pixels as comparing src_label and tgt_label.
This function was created to compute the statistics comparing two edge or boundaries, instead of two regions.
Use the overloaded function without 'dist' parameter for comparing regions.

Date: 2015/May/26

Parameters

src_label	A binary label data.
tgt_label	A binary label data.
dist	Maximum distance between src and tgt labels.

Returns: The number of true positive pixels as comparing src_label and tgt_label.

Warning: none.

Functions

Function Documentation