Implements common warping techniques that map from the unit square to other domains, such as spheres, hemispheres, etc. More...

Functions
Warping techniques related to spheres and subsets
Vector	squareToUniformSphere (const Point2 &sample)
	Uniformly sample a vector on the unit sphere with respect to solid angles. More...

Float	squareToUniformSpherePdf ()
	Density of squareToUniformSphere() with respect to solid angles. More...

Vector	squareToUniformHemisphere (const Point2 &sample)
	Uniformly sample a vector on the unit hemisphere with respect to solid angles. More...

Float	squareToUniformHemispherePdf ()
	Density of squareToUniformHemisphere() with respect to solid angles. More...

Vector	squareToCosineHemisphere (const Point2 &sample)
	Sample a cosine-weighted vector on the unit hemisphere with respect to solid angles. More...

Float	squareToCosineHemispherePdf (const Vector &d)
	Density of squareToCosineHemisphere() with respect to solid angles. More...

Vector	squareToUniformCone (Float cosCutoff, const Point2 &sample)
	Uniformly sample a vector that lies within a given cone of angles around the Z axis. More...

Float	squareToUniformConePdf (Float cosCutoff)
	Uniformly sample a vector that lies within a given cone of angles around the Z axis. More...

Warping techniques that operate in the plane
Point2	squareToUniformDisk (const Point2 &sample)
	Uniformly sample a vector on a 2D disk. More...

Float	squareToUniformDiskPdf ()
	Density of squareToUniformDisk per unit area. More...

Point2	squareToUniformDiskConcentric (const Point2 &sample)
	Low-distortion concentric square to disk mapping by Peter Shirley (PDF: 1/PI) More...

Point2	uniformDiskToSquareConcentric (const Point2 &p)
	Inverse of the mapping squareToUniformDiskConcentric. More...

Float	squareToUniformDiskConcentricPdf ()
	Density of squareToUniformDisk per unit area. More...

Point2	squareToUniformTriangle (const Point2 &sample)
	Convert an uniformly distributed square sample into barycentric coordinates. More...

Point2	squareToStdNormal (const Point2 &sample)
	Sample a point on a 2D standard normal distribution. More...

Float	squareToStdNormalPdf (const Point2 &pos)
	Density of squareToStdNormal per unit area. More...

Point2	squareToTent (const Point2 &sample)
	Warp a uniformly distributed square sample to a 2D tent distribution. More...

Float	intervalToNonuniformTent (Float a, Float b, Float c, Float sample)
	Warp a uniformly distributed sample on [0, 1] to a nonuniform tent distribution with nodes `{a, b, c}` More...

Detailed Description

Implements common warping techniques that map from the unit square to other domains, such as spheres, hemispheres, etc.

The main application of this class is to generate uniformly distributed or weighted point sets in certain common target domains.

Function Documentation

Float mitsuba::warp::intervalToNonuniformTent	(	Float	a,
		Float	b,
		Float	c,
		Float	sample
	)

Warp a uniformly distributed sample on [0, 1] to a nonuniform tent distribution with nodes {a, b, c}

Vector mitsuba::warp::squareToCosineHemisphere ( const Point2 & sample )

Sample a cosine-weighted vector on the unit hemisphere with respect to solid angles.

Float mitsuba::warp::squareToCosineHemispherePdf ( const Vector & d )

inline

Density of squareToCosineHemisphere() with respect to solid angles.

Point2 mitsuba::warp::squareToStdNormal ( const Point2 & sample )

Sample a point on a 2D standard normal distribution.

Internally uses the Box-Muller transformation

Float mitsuba::warp::squareToStdNormalPdf ( const Point2 & pos )

Density of squareToStdNormal per unit area.

Point2 mitsuba::warp::squareToTent ( const Point2 & sample )

Warp a uniformly distributed square sample to a 2D tent distribution.

Vector mitsuba::warp::squareToUniformCone	(	Float	cosCutoff,
		const Point2 &	sample
	)

Uniformly sample a vector that lies within a given cone of angles around the Z axis.

Parameters

cosCutoff	Cosine of the cutoff angle
sample	A uniformly distributed sample on \([0,1]^2\)

Float mitsuba::warp::squareToUniformConePdf ( Float cosCutoff )

inline

Uniformly sample a vector that lies within a given cone of angles around the Z axis.

Parameters

cosCutoff	Cosine of the cutoff angle
sample	A uniformly distributed sample on \([0,1]^2\)

Point2 mitsuba::warp::squareToUniformDisk ( const Point2 & sample )

Uniformly sample a vector on a 2D disk.

Point2 mitsuba::warp::squareToUniformDiskConcentric ( const Point2 & sample )

Low-distortion concentric square to disk mapping by Peter Shirley (PDF: 1/PI)

Float mitsuba::warp::squareToUniformDiskConcentricPdf ( )

inline

Density of squareToUniformDisk per unit area.

Float mitsuba::warp::squareToUniformDiskPdf ( )

inline

Density of squareToUniformDisk per unit area.

Vector mitsuba::warp::squareToUniformHemisphere ( const Point2 & sample )

Uniformly sample a vector on the unit hemisphere with respect to solid angles.

Float mitsuba::warp::squareToUniformHemispherePdf ( )

inline

Density of squareToUniformHemisphere() with respect to solid angles.

Vector mitsuba::warp::squareToUniformSphere ( const Point2 & sample )

Uniformly sample a vector on the unit sphere with respect to solid angles.

Float mitsuba::warp::squareToUniformSpherePdf ( )

inline

Density of squareToUniformSphere() with respect to solid angles.

Point2 mitsuba::warp::squareToUniformTriangle ( const Point2 & sample )

Convert an uniformly distributed square sample into barycentric coordinates.

Point2 mitsuba::warp::uniformDiskToSquareConcentric ( const Point2 & p )

Inverse of the mapping squareToUniformDiskConcentric.

Functions

Detailed Description

Function Documentation