MR::Math::SH Namespace Reference

Classes
class	aPSF
	a class to hold the coefficients for an apodised point-spread function. More...
class	PrecomputedAL
	Precomputed Associated Legrendre Polynomials - used to speed up SH calculation. More...
class	PrecomputedFraction
	used to speed up SH calculation More...
class	Transform

Functions
size_t	NforL (int lmax)
	the number of (even-degree) coefficients for the given value of lmax More...
size_t	index (int l, int m)
	compute the index for coefficient (l,m) More...
size_t	NforL_mpos (int lmax)
	same as NforL(), but consider only non-negative orders m More...
size_t	index_mpos (int l, int m)
	same as index(), but consider only non-negative orders m More...
size_t	LforN (int N)
	returns the largest lmax given N parameters More...
template<class MatrixType >
Eigen::Matrix< typename MatrixType::Scalar, Eigen::Dynamic, Eigen::Dynamic >	init_transform (const MatrixType &dirs, const int lmax)
	form the SH->amplitudes matrix More...
template<class MatrixType >
Eigen::Matrix< typename MatrixType::Scalar, Eigen::Dynamic, Eigen::Dynamic >	init_transform_cart (const MatrixType &dirs, const int lmax)
	form the SH->amplitudes matrix More...
template<class MatrixType , class VectorType >
void	scale_degrees_forward (MatrixType &SH2amp_mapping, const VectorType &coefs)
	scale the coefficients of each SH degree by the corresponding value in coefs More...
template<typename MatrixType , class VectorType >
void	scale_degrees_inverse (MatrixType &amp2SH_mapping, const VectorType &coefs)
	scale the coefficients of each SH degree by the corresponding value in coefs More...
template<typename VectorType >
Eigen::Matrix< typename VectorType::Scalar, Eigen::Dynamic, 1 >	invert (const VectorType &coefs)
	invert any non-zero coefficients in coefs More...
template<class VectorType >
VectorType::Scalar	value (const VectorType &coefs, typename VectorType::Scalar cos_elevation, typename VectorType::Scalar cos_azimuth, typename VectorType::Scalar sin_azimuth, int lmax)
template<class VectorType >
VectorType::Scalar	value (const VectorType &coefs, typename VectorType::Scalar cos_elevation, typename VectorType::Scalar azimuth, int lmax)
template<class VectorType1 , class VectorType2 >
VectorType1::Scalar	value (const VectorType1 &coefs, const VectorType2 &unit_dir, int lmax)
template<class VectorType1 , class VectorType2 >
VectorType1 &	delta (VectorType1 &delta_vec, const VectorType2 &unit_dir, int lmax)
template<class VectorType1 , class VectorType2 >
VectorType1 &	SH2RH (VectorType1 &RH, const VectorType2 &sh)
template<class VectorType >
Eigen::Matrix< typename VectorType::Scalar, Eigen::Dynamic, 1 >	SH2RH (const VectorType &sh)
template<class VectorType1 , class VectorType2 >
VectorType1 &	sconv (VectorType1 &sh, const VectorType2 &RH)
	perform spherical convolution, in place More...
template<class VectorType1 , class VectorType2 , class VectorType3 >
VectorType1 &	sconv (VectorType1 &C, const VectorType2 &RH, const VectorType3 &sh)
	perform spherical convolution More...
template<class MatrixType1 , class VectorType2 >
MatrixType1 &	sconv_mat (MatrixType1 &sh, const VectorType2 &RH)
	perform spherical convolution, in place More...
template<class VectorType , class UnitVectorType , class ValueType = float>
VectorType::Scalar	get_peak (const VectorType &sh, int lmax, UnitVectorType &unit_init_dir, PrecomputedAL< typename VectorType::Scalar > *precomputer=nullptr)
	estimate direction & amplitude of SH peak More...
template<class VectorType >
void	derivatives (const VectorType &sh, const int lmax, const typename VectorType::Scalar elevation, const typename VectorType::Scalar azimuth, typename VectorType::Scalar &amplitude, typename VectorType::Scalar &dSH_del, typename VectorType::Scalar &dSH_daz, typename VectorType::Scalar &d2SH_del2, typename VectorType::Scalar &d2SH_deldaz, typename VectorType::Scalar &d2SH_daz2, PrecomputedAL< typename VectorType::Scalar > *precomputer)
	computes first and second order derivatives of SH series More...
template<class ImageType >
void	check (const ImageType &H)
	convenience function to check if an input image can contain SH coefficients More...

Variables
const char *	encoding_description
	a string containing a description of the SH storage convention More...