Warp Class Reference

A collection of useful warping functions for importance sampling. More...

#include <warp.h>

Static Public Member Functions
static Vector3f	sampleUniformHemisphere (Sampler *sampler, const Normal3f &northPole)
	Uniformly sample a vector on the unit hemisphere with respect to solid angles (naive implementation)
static Point2f	squareToUniformSquare (const Point2f &sample)
	Dummy warping function: takes uniformly distributed points in a square and just returns them.
static float	squareToUniformSquarePdf (const Point2f &p)
	Probability density of squareToUniformSquare()
static Point2f	squareToUniformDisk (const Point2f &sample)
	Uniformly sample a vector on a 2D disk with radius 1, centered around the origin.
static float	squareToUniformDiskPdf (const Point2f &p)
	Probability density of squareToUniformDisk()
static Vector3f	squareToUniformSphere (const Point2f &sample)
	Uniformly sample a vector on the unit sphere with respect to solid angles.
static float	squareToUniformSpherePdf (const Vector3f &v)
	Probability density of squareToUniformSphere()
static Vector3f	squareToUniformSphereCap (const Point2f &sample, float cosThetaMax)
	Uniformly sample a vector on a spherical cap around (0, 0, 1) More...
static float	squareToUniformSphereCapPdf (const Vector3f &v, float cosThetaMax)
	Probability density of squareToUniformSphereCap()
static Vector3f	squareToUniformHemisphere (const Point2f &sample)
	Uniformly sample a vector on the unit hemisphere around the pole (0,0,1) with respect to solid angles.
static float	squareToUniformHemispherePdf (const Vector3f &v)
	Probability density of squareToUniformHemisphere()
static Vector3f	squareToCosineHemisphere (const Point2f &sample)
	Uniformly sample a vector on the unit hemisphere around the pole (0,0,1) with respect to projected solid angles.
static float	squareToCosineHemispherePdf (const Vector3f &v)
	Probability density of squareToCosineHemisphere()
static Vector3f	squareToBeckmann (const Point2f &sample, float alpha)
	Warp a uniformly distributed square sample to a Beckmann distribution * cosine for the given 'alpha' parameter.
static float	squareToBeckmannPdf (const Vector3f &m, float alpha)
	Probability density of squareToBeckmann()
static Vector3f	squareToUniformTriangle (const Point2f &sample)

Detailed Description

A collection of useful warping functions for importance sampling.

Definition at line 28 of file warp.h.

Member Function Documentation

squareToUniformSphereCap()

Vector3f Warp::squareToUniformSphereCap ( const Point2f &  sample, float  cosThetaMax  )

static

Uniformly sample a vector on a spherical cap around (0, 0, 1)

A spherical cap is the subset of a unit sphere whose directions make an angle of less than 'theta' with the north pole. This function expects the cosine of 'theta' as a parameter.

Definition at line 57 of file warp.cpp.

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

• warp.h
• warp.cpp