cvr::minimizeBasis Class Reference
[Linear Algebra]

Functor for the minimization of a basis. More...

#include <cvrMinimizeBasis.h>

Inheritance diagram for cvr::minimizeBasis:

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Collaboration diagram for cvr::minimizeBasis:

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List of all members.

Classes
class	parameters
	The parameters for the class minimizeBasis. More...
Public Types
enum	eDeviationType { Element, Vector, Matrix }
Public Member Functions
	minimizeBasis ()
	minimizeBasis (const parameters &par)
	minimizeBasis (const minimizeBasis &other)
virtual	~minimizeBasis ()
template<typename T >
bool	apply (const matrix< T > &testVectors, matrix< T > &newBasis, matrix< T > &factors) const
minimizeBasis &	copy (const minimizeBasis &other)
minimizeBasis &	operator= (const minimizeBasis &other)
const std::string &	name () const
virtual minimizeBasis *	clone () const
virtual minimizeBasis *	newInstance () const
const parameters &	getParameters () const
Protected Member Functions
template<typename T >
T	computeError (const eDeviationType &deviation, const matrix< T > &shouldBe, const matrix< T > &current) const

---

Detailed Description

Functor for the minimization of a basis.

This functor generates a minimum number of basis vectors to approximate a given set of vectors within a given deviation.

There is a Fast and an Exact method of computing the minimized basis. Normally the Exact method should be used, because it does not only compute the exact solution and the smallest basis, but may even be faster than the "Fast" method. The "Fast" method is not exact and may return a basis which is larger than necessary.

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Member Enumeration Documentation

enum cvr::minimizeBasis::eDeviationType

Enumeration of deviation types.

Enumerator:

Element	the elements of the approximating vectors must not deviate more than maxDeviation
Vector	the l2VectorNorm of deviation vector between the approximated vector must not be larger than maxDeviation
Matrix	the l2MatrixNorm of the difference matrix between the approximating and the approximated set of vectors must not be larger than maxDeviation

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Constructor & Destructor Documentation

cvr::minimizeBasis::minimizeBasis

(

)

Default constructor.

cvr::minimizeBasis::minimizeBasis

(

const parameters &

par

)

Construct a functor using the given parameters.

cvr::minimizeBasis::minimizeBasis

(

const minimizeBasis &

other

)

Copy constructor.

Parameters:

other

the object to be copied

virtual cvr::minimizeBasis::~minimizeBasis

(

)

[virtual]

Destructor.

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Member Function Documentation

template<typename T >

bool cvr::minimizeBasis::apply	(	const matrix< T > &	testVectors,
		matrix< T > &	newBasis,
		matrix< T > &	factors
	)			const [inline]

Operates on the given parameter.

Parameters:

	testVectors	the rows of this matrix should contain the vectors to be approximated
	newBasis	the columns of this matrix will contain the new basis vectors
	factors	the rows of this matrix will contain the factors to multiply the new basis vectors by to approximate the testVectors

Returns:

true if apply successful or false otherwise.

virtual minimizeBasis* cvr::minimizeBasis::clone

(

)

const [virtual]

Returns a pointer to a clone of this functor.

Implements cvr::functor.

template<typename T >

T cvr::minimizeBasis::computeError	(	const eDeviationType &	deviation,
		const matrix< T > &	shouldBe,
		const matrix< T > &	current
	)			const [inline, protected]

Compute error depending on the given deviation type.

minimizeBasis& cvr::minimizeBasis::copy

(

const minimizeBasis &

other

)

Copy data of "other" functor.

Parameters:

other

the functor to be copied

Returns:

a reference to this functor object

const parameters& cvr::minimizeBasis::getParameters

(

)

const

Returns used parameters.

Reimplemented from cvr::linearAlgebraFunctor.

const std::string& cvr::minimizeBasis::name

(

)

const [virtual]

Returns the name of this class.

Implements cvr::functor.

virtual minimizeBasis* cvr::minimizeBasis::newInstance

(

)

const [virtual]

Returns a pointer to a new instance of this functor.

Implements cvr::functor.

minimizeBasis& cvr::minimizeBasis::operator=

(

const minimizeBasis &

other

)

Alias for copy member.

Parameters:

other

the functor to be copied

Returns:

a reference to this functor object

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

• cvrMinimizeBasis.h