#include <otbReciprocalLinearCovarianceToReciprocalCircularCovarianceImageFilter.h>

Public Types
typedef std::complex< double >	ComplexType

typedef TOutput::ValueType	OutputValueType

typedef double	RealType

Public Member Functions
void	operator() (TOutput &result, const TInput &Covariance) const

constexpr vcl_size_t	OutputSize (...) const

Detailed Description

template<class TInput, class TOutput>
class otb::Functor::ReciprocalLinearCovarianceToReciprocalCircularCovarianceFunctor< TInput, TOutput >

Compute the reciprocal Covariance circular matrix from the reciprocal Covariance linear matrix. Extract from Antennas for radar and communications Harold Mott p 317.

Output value are:

channel #0 : $0.25 * (C33-i.\sqrt{2}.C23-C13+i.\sqrt{2}.C23^{*}-C13^{*}+2.C22-i.\sqrt{2}.C12+i.\sqrt{2}.C12^{*}+C11)$
channel #1 : $0.25 * (i.\sqrt{2}.C33+2.C23-i.\sqrt{2}.C13+i.\sqrt{2}.C13^{*}+2.C12^{*}-i.\sqrt{2}.C11)$
channel #2 : $0.25 * (-C33+i.\sqrt{2}.C23+C13+i.\sqrt{2}.C23^{*}+C13^{*}+2.C22-i.\sqrt{2}.C12-i.\sqrt{2}.C12^{*}-C11 )$
channel #3 : $0.25 * (2.C33+2.C13+2.C13^{*}+2.C11)$
channel #4 : $0.25 * (i.\sqrt{2}.C33+i.\sqrt{2}.C13+2.C23^{*}-i.\sqrt{2}.C13^{*}+2.C12-i.\sqrt{2}.C11)$
channel #5 : $0.25 * (C33+i.\sqrt{2}.C23-C13-i.\sqrt{2}.C23^{*}-C13^{*}+2.C22+i.\sqrt{2}.C12-i.\sqrt{2}.C12^{*}+C11)$

Where Cij are related to the elements of the reciprocal linear covariance matrix.

The output pixel has 6 channels : the diagonal and the upper element of the reciprocal matrix. Element are stored from left to right, line by line.

See also: CovarianceToCoherencyDegreeImageFilter; CovarianceToCoherencyImageFilter

Definition at line 61 of file otbReciprocalLinearCovarianceToReciprocalCircularCovarianceImageFilter.h.

Member Typedef Documentation

◆ ComplexType

template<class TInput , class TOutput >

typedef std::complex<double> otb::Functor::ReciprocalLinearCovarianceToReciprocalCircularCovarianceFunctor< TInput, TOutput >::ComplexType

Definition at line 65 of file otbReciprocalLinearCovarianceToReciprocalCircularCovarianceImageFilter.h.

◆ OutputValueType

template<class TInput , class TOutput >

typedef TOutput::ValueType otb::Functor::ReciprocalLinearCovarianceToReciprocalCircularCovarianceFunctor< TInput, TOutput >::OutputValueType

Definition at line 66 of file otbReciprocalLinearCovarianceToReciprocalCircularCovarianceImageFilter.h.

◆ RealType

template<class TInput , class TOutput >

typedef double otb::Functor::ReciprocalLinearCovarianceToReciprocalCircularCovarianceFunctor< TInput, TOutput >::RealType

Definition at line 64 of file otbReciprocalLinearCovarianceToReciprocalCircularCovarianceImageFilter.h.

Member Function Documentation

◆ operator()()

template<class TInput , class TOutput >

void otb::Functor::ReciprocalLinearCovarianceToReciprocalCircularCovarianceFunctor< TInput, TOutput >::operator()	(	TOutput &	result,
		const TInput &	Covariance
	)		const