ph::math::THemisphere< T > Class Template Reference

A hemisphere in 3-D space. More...

#include <THemisphere.h>

Public Member Functions
	THemisphere ()=default
	THemisphere (T radius)
T	getArea () const
	The area of the dome part.
TVector3< T >	sampleToSurfaceArchimedes (const std::array< T, 2 > &sample) const
	Map the 2D sample to a position on the surface of the hemisphere.
TVector3< T >	sampleToSurfaceArchimedes (const std::array< T, 2 > &sample, T *out_pdfA) const
TVector3< T >	sampleToSurfaceCosThetaWeighted (const std::array< T, 2 > &sample) const
TVector3< T >	sampleToSurfaceCosThetaWeighted (const std::array< T, 2 > &sample, T *out_pdfA) const
TVector3< T >	sampleToSurfaceCosLobeWeighted (const std::array< T, 2 > &sample, T exponent) const
TVector3< T >	sampleToSurfaceCosLobeWeighted (const std::array< T, 2 > &sample, T exponent, T *out_pdfA) const

Static Public Member Functions
static THemisphere	makeUnit ()

Detailed Description

template<typename T>
class ph::math::THemisphere< T >

A hemisphere in 3-D space.

The hemisphere is facing up (y-axis) and does not include the disk part at the bottom. The origin of the hemisphere is located at the center of the full sphere.

Constructor & Destructor Documentation

THemisphere() [1/2]

template<typename T >

ph::math::THemisphere< T >::THemisphere ( )

default

THemisphere() [2/2]

template<typename T >

ph::math::THemisphere< T >::THemisphere ( T radius )

inlineexplicit

Member Function Documentation

getArea()

template<typename T >

T ph::math::THemisphere< T >::getArea ( ) const

inline

The area of the dome part.

makeUnit()

template<typename T >

THemisphere< T > ph::math::THemisphere< T >::makeUnit ( )

inlinestatic

sampleToSurfaceArchimedes() [1/2]

template<typename T >

TVector3< T > ph::math::THemisphere< T >::sampleToSurfaceArchimedes ( const std::array< T, 2 > & sample ) const

inline

Map the 2D sample to a position on the surface of the hemisphere.

A common mapping method that is based on Archimedes' derivation that the horizontal slices of a sphere have equal area. The mapped positions are distributed uniformly if the sample is uniform. For a unit hemisphere, this method effectively generates normalized directions.

sampleToSurfaceArchimedes() [2/2]

template<typename T >

TVector3< T > ph::math::THemisphere< T >::sampleToSurfaceArchimedes ( const std::array< T, 2 > & sample, T * out_pdfA ) const

inline

sampleToSurfaceCosLobeWeighted() [1/2]

template<typename T >

TVector3< T > ph::math::THemisphere< T >::sampleToSurfaceCosLobeWeighted ( const std::array< T, 2 > & sample, T exponent ) const

inline

sampleToSurfaceCosLobeWeighted() [2/2]

template<typename T >

TVector3< T > ph::math::THemisphere< T >::sampleToSurfaceCosLobeWeighted ( const std::array< T, 2 > & sample, T exponent, T * out_pdfA ) const

inline

sampleToSurfaceCosThetaWeighted() [1/2]

template<typename T >

TVector3< T > ph::math::THemisphere< T >::sampleToSurfaceCosThetaWeighted ( const std::array< T, 2 > & sample ) const

inline

sampleToSurfaceCosThetaWeighted() [2/2]

template<typename T >

TVector3< T > ph::math::THemisphere< T >::sampleToSurfaceCosThetaWeighted ( const std::array< T, 2 > & sample, T * out_pdfA ) const

inline

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

• Source/Math/Geometry/THemisphere.h