vcg::math::SphericalHarmonics< ScalarType, MAX_BAND > Class Template Reference

#include <spherical_harmonics.h>

List of all members.

Public Member Functions
ScalarType	operator() (ScalarType theta, ScalarType phi)
Static Public Member Functions
template<typename PolarFunctor >
static SphericalHarmonics	Project (PolarFunctor *fun, unsigned n_samples)
static ScalarType	Real (unsigned l, int m, ScalarType theta, ScalarType phi)
static SphericalHarmonics	Wrap (ScalarType *_coefficients)
Static Private Member Functions
static ScalarType	complex_spherical_harmonic_im (unsigned l, unsigned m, ScalarType theta, ScalarType phi)
static ScalarType	complex_spherical_harmonic_re (unsigned l, unsigned m, ScalarType theta, ScalarType phi)
static ScalarType	scaling_factor (unsigned l, unsigned m)
Private Attributes
ScalarType	coefficients [MAX_BAND *MAX_BAND]
Static Private Attributes
static DynamicLegendre < ScalarType, MAX_BAND >	legendre

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Detailed Description

template<typename ScalarType, int MAX_BAND = 4>
class vcg::math::SphericalHarmonics< ScalarType, MAX_BAND >

Although the Real Spherical Harmonic Function is correctly defined over any positive l and any -l <= m <= l, the two internal functions computing the imaginary and real parts of the Complex Spherical Harmonic Functions are defined for positive m only.

Definition at line 75 of file spherical_harmonics.h.

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Member Function Documentation

template<typename ScalarType, int MAX_BAND = 4>

static ScalarType vcg::math::SphericalHarmonics< ScalarType, MAX_BAND >::complex_spherical_harmonic_im	(	unsigned	l,
		unsigned	m,
		ScalarType	theta,
		ScalarType	phi
	)			[inline, static, private]

Definition at line 91 of file spherical_harmonics.h.

template<typename ScalarType, int MAX_BAND = 4>

static ScalarType vcg::math::SphericalHarmonics< ScalarType, MAX_BAND >::complex_spherical_harmonic_re	(	unsigned	l,
		unsigned	m,
		ScalarType	theta,
		ScalarType	phi
	)			[inline, static, private]

Definition at line 86 of file spherical_harmonics.h.

template<typename ScalarType, int MAX_BAND = 4>

ScalarType vcg::math::SphericalHarmonics< ScalarType, MAX_BAND >::operator()	(	ScalarType	theta,
		ScalarType	phi
	)			[inline]

Definition at line 175 of file spherical_harmonics.h.

template<typename ScalarType, int MAX_BAND = 4>

template<typename PolarFunctor >

static SphericalHarmonics vcg::math::SphericalHarmonics< ScalarType, MAX_BAND >::Project	(	PolarFunctor *	fun,
		unsigned	n_samples
	)			[inline, static]

Definition at line 120 of file spherical_harmonics.h.

template<typename ScalarType, int MAX_BAND = 4>

static ScalarType vcg::math::SphericalHarmonics< ScalarType, MAX_BAND >::Real	(	unsigned	l,
		int	m,
		ScalarType	theta,
		ScalarType	phi
	)			[inline, static]

Returns the Real Spherical Harmonic Function

l is any positive integer, m is such that -l <= m <= l theta is inside [0, PI] phi is inside [0, 2*PI]

Definition at line 108 of file spherical_harmonics.h.

template<typename ScalarType, int MAX_BAND = 4>

static ScalarType vcg::math::SphericalHarmonics< ScalarType, MAX_BAND >::scaling_factor	(	unsigned	l,
		unsigned	m
	)			[inline, static, private]

Definition at line 81 of file spherical_harmonics.h.

template<typename ScalarType, int MAX_BAND = 4>

static SphericalHarmonics vcg::math::SphericalHarmonics< ScalarType, MAX_BAND >::Wrap

(

ScalarType *

_coefficients

)

[inline, static]

Definition at line 168 of file spherical_harmonics.h.

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Member Data Documentation

template<typename ScalarType, int MAX_BAND = 4>

ScalarType vcg::math::SphericalHarmonics< ScalarType, MAX_BAND >::coefficients[MAX_BAND *MAX_BAND] [private]

Definition at line 96 of file spherical_harmonics.h.

template<typename ScalarType, int MAX_BAND = 4>

DynamicLegendre< ScalarType, MAX_BAND > vcg::math::SphericalHarmonics< ScalarType, MAX_BAND >::legendre [inline, static, private]

Definition at line 79 of file spherical_harmonics.h.

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

• spherical_harmonics.h