ublasTools Namespace Reference

Some utility function for vector and matrix calculation. More...

Functions
template<class ValueType >
bool	affine_fit (const ublas::matrix< ValueType > &q_, const ublas::matrix< ValueType > &p, ublas::matrix< ValueType > &A, ublas::vector< ValueType > &b)
	Fit affine transformation such that . More...
template<class ValueType >
ublas::vector< ValueType >	column_means (ublas::matrix< ValueType > &A)
	Calculate column means of a matrix. More...
template<class ValueType >
ublas::vector< ValueType >	row_means (ublas::matrix< ValueType > &A)
	Calculate row means of a matrix. More...
template<class ValueType >
ValueType	grand_mean (const ublas::matrix< ValueType > &A)
	Calculate grand means of a matrix. More...
template<class ValueType >
void	double_center (ublas::matrix< ValueType > &D)
	Double center matrix, i.e. substract column and row means and add in grand mean. More...
template<class ValueType >
void	zero_eps (ublas::matrix< ValueType > &A, ValueType eps=1e-7)
	Eliminate all matrix entries smaller than some epsilon. More...
template<class ValueType >
void	zero_eps (ublas::vector< ValueType > &v, ValueType eps=1e-7)
	Eliminate all vector entries smaller than some epsilon. More...

Detailed Description

Some utility function for vector and matrix calculation.

Function Documentation

template<class ValueType >

bool ublasTools::affine_fit	(	const ublas::matrix< ValueType > &	q_,
		const ublas::matrix< ValueType > &	p,
		ublas::matrix< ValueType > &	A,
		ublas::vector< ValueType > &	b
	)

Fit affine transformation such that .

Parameters

	q	Matrix containing points of dimension
	p	Matrix containing points of dimension
[out]	Matrix	A
[out]	Vector	b

Returns

false if LU decomposition fails

Implemented after Helmut Spaeth's paper "Fitting affine and orthogonal transformations between two set of points".

template<class ValueType >

ublas::vector<ValueType> ublasTools::column_means

(

ublas::matrix< ValueType > &

A

)

Calculate column means of a matrix.

Parameters

[in]

A

matrix (also it is not const, A isn't changed!)

Returns

Vector of size m containing column means of A

Referenced by double_center().

template<class ValueType >

void ublasTools::double_center

(

ublas::matrix< ValueType > &

D

)

Double center matrix, i.e. substract column and row means and add in grand mean.

Parameters

[in,out]

D

matrix, overwritten by double-centered matrix

References column_means(), grand_mean(), and row_means().

Referenced by CMDS< ValueType >::CMDS().

template<class ValueType >

ValueType ublasTools::grand_mean

(

const ublas::matrix< ValueType > &

A

)

Calculate grand means of a matrix.

Parameters

[in]

A

matrix (also it is not const, A isn't changed!)

Returns

grand mean of A, that is sum over all components divided by

Referenced by double_center().

template<class ValueType >

ublas::vector<ValueType> ublasTools::row_means

(

ublas::matrix< ValueType > &

A

)

Calculate row means of a matrix.

Parameters

[in]

A

matrix (also it is not const, A isn't changed!)

Returns

Vector of size n containing row means of A

Referenced by double_center().

template<class ValueType >

void ublasTools::zero_eps	(	ublas::matrix< ValueType > &	A,
		ValueType	eps = 1e-7
	)

Eliminate all matrix entries smaller than some epsilon.

template<class ValueType >

void ublasTools::zero_eps	(	ublas::vector< ValueType > &	v,
		ValueType	eps = 1e-7
	)

Eliminate all vector entries smaller than some epsilon.