cugar::Oct_smooth_basis Struct Reference

Detailed description

A smoothed octahedral basis: the basis functions overlap and are not orthogonal. As a consequence, projection requires solving a least squares problem.

#include <oct.h>

Static Public Methods
static CUGAR_HOST_DEVICE float	eval (const int32 i, const Vector3f &d)
static CUGAR_API void	clamped_cosine (const Vector3f &normal, const float w, float *coeffs)
static void	constant (float k, float *coeffs)
static float	integral (const float *coeffs)
template<typename Vector_type >
static float	integral (const Vector_type &coeffs)
static float	G (const int32 i, const int32 j)
static CUGAR_API void	solve (float *coeffs)

Static Public Members
static const int32	COEFFS = 8

Member Function Documentation

clamped_cosine()

void cugar::Oct_smooth_basis::clamped_cosine ( const Vector3f &  normal, const float  w, float *  coeffs  )

static

add a weighted basis expansion of a clamped cosine lobe to a given set of coefficients

Parameters

normal	input normal
w	scalar weight
coeffs	input/output coefficients

constant()

static void cugar::Oct_smooth_basis::constant ( float  k, float *  coeffs  )

inlinestatic

return the basis expansion of a constant

Parameters

k	input constant
coeffs	output coefficients

eval()

static CUGAR_HOST_DEVICE float cugar::Oct_smooth_basis::eval ( const int32  i, const Vector3f &  d  )

inlinestatic

evaluate the i-th octahedral function

Parameters

i	function index
d	input direction vector

G()

static float cugar::Oct_smooth_basis::G ( const int32  i, const int32  j  )

inlinestatic

return the dot product of the i-th and j-th basis functions

Parameters

i	first function index
j	second functio index

integral() [1/2]

static float cugar::Oct_smooth_basis::integral ( const float *  coeffs )

inlinestatic

return the integral of a spherical hamonics function

integral() [2/2]

template<typename Vector_type >

static float cugar::Oct_smooth_basis::integral ( const Vector_type &  coeffs )

inlinestatic

return the integral of a spherical hamonics function

solve()

void cugar::Oct_smooth_basis::solve ( float *  coeffs )

static

solve the linear least squares projection for a set of coefficients

Parameters

coeffs

input projection coefficients

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The documentation for this struct was generated from the following files:

• C:/p4research/research/jpantaleoni/Fermat-Public/contrib/cugar/spherical/oct.h
• C:/p4research/research/jpantaleoni/Fermat-Public/contrib/cugar/spherical/oct.cpp