Various transformations for implicit functions and distance fields. More...

#include "EBGeometry_ImplicitFunction.hpp"
#include "EBGeometry_Vec.hpp"
#include "EBGeometry_NamespaceHeader.hpp"
#include "EBGeometry_NamespaceFooter.hpp"
#include "EBGeometry_TransformImplem.hpp"

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Classes
class	ComplementIF< T >
	Complemented implicit function. More...

class	TranslateIF< T >
	Translated implicit function. More...

class	RotateIF< T >
	Rotated implicit function. Rotates an implicit function about an axis. More...

class	OffsetIF< T >
	Offset implicit function. Offsets the implicit function using the input value. More...

class	ScaleIF< T >
	Scaled implicit function. More...

class	AnnularIF< T >
	Annular implicit function function. Creates a shell out of the implicit function. More...

class	BlurIF< T >
	Blurred/interpolated implicit function - can be used for smoothing. More...

class	MollifyIF< T >
	Mollified implicit function. More...

class	ElongateIF< T >
	Implicit function which is an elongation of another implicit function along some axis. More...

class	ReflectIF< T >
	Implicit function which is a reflection of another implicit function. More...

Functions
template<class T >
std::shared_ptr< ImplicitFunction< T > >	Complement (const std::shared_ptr< ImplicitFunction< T > > &a_implicitFunction) noexcept
	Convenience function for taking the complement of an implicit function.

template<class T >
std::shared_ptr< ImplicitFunction< T > >	Translate (const std::shared_ptr< ImplicitFunction< T > > &a_implicitFunction, const Vec3T< T > &a_shift) noexcept
	Convenience function for translating an implicit function.

template<class T >
std::shared_ptr< ImplicitFunction< T > >	Rotate (const std::shared_ptr< ImplicitFunction< T > > &a_implicitFunction, const T a_angle, const size_t a_axis) noexcept
	Convenience function for rotating an implicit function.

template<class T >
std::shared_ptr< ImplicitFunction< T > >	Scale (const std::shared_ptr< ImplicitFunction< T > > &a_implicitFunction, const T a_scale) noexcept
	Convenience function for scaling an implicit function.

template<class T >
std::shared_ptr< ImplicitFunction< T > >	Offset (const std::shared_ptr< ImplicitFunction< T > > &a_implicitFunction, const T a_offset) noexcept
	Convenience function for offsetting an implicit function.

template<class T >
std::shared_ptr< ImplicitFunction< T > >	Annular (const std::shared_ptr< ImplicitFunction< T > > &a_implicitFunction, const T a_delta) noexcept
	Convenience function for creating a shell out of an implicit function.

template<class T >
std::shared_ptr< ImplicitFunction< T > >	Blur (const std::shared_ptr< ImplicitFunction< T > > &a_implicitFunction, const T a_blurDistance) noexcept
	Convenience function for blurring an implicit function.

template<class T >
std::shared_ptr< ImplicitFunction< T > >	Mollify (const std::shared_ptr< ImplicitFunction< T > > &a_implicitFunction, const T a_dist, const size_t a_mollifierSamples=2) noexcept
	Convenience function for mollification with an input sphere.

template<class T >
std::shared_ptr< ImplicitFunction< T > >	Elongate (const std::shared_ptr< ImplicitFunction< T > > &a_implicitFunction, const Vec3T< T > &a_elongation) noexcept
	Convenience function for elongating (stretching) an implicit function.

template<class T >
std::shared_ptr< ImplicitFunction< T > >	Reflect (const std::shared_ptr< ImplicitFunction< T > > &a_implicitFunction, const size_t &a_reflectPlane) noexcept
	Convenience function for reflecting an implicit function.

Detailed Description

Various transformations for implicit functions and distance fields.

Author: Robert Marskar

Function Documentation

◆ Annular()

template<class T >

std::shared_ptr< ImplicitFunction< T > > Annular	(	const std::shared_ptr< ImplicitFunction< T > > &	a_implicitFunction,
		const T	a_delta
	)

noexcept

Convenience function for creating a shell out of an implicit function.

Parameters

[in]	a_implicitFunction	Input implicit function to be shelled.
[in]	a_delta	Shell thickness

◆ Blur()

template<class T >

std::shared_ptr< ImplicitFunction< T > > Blur	(	const std::shared_ptr< ImplicitFunction< T > > &	a_implicitFunction,
		const T	a_blurDistance
	)

noexcept

Convenience function for blurring an implicit function.

Parameters

[in]	a_implicitFunction	Input implicit function to be blurred
[in]	a_blurDistance	Smoothing distance

◆ Complement()

template<class T >

std::shared_ptr< ImplicitFunction< T > > Complement ( const std::shared_ptr< ImplicitFunction< T > > & a_implicitFunction )

noexcept

Convenience function for taking the complement of an implicit function.

Parameters

[in] a_implicitFunction Input implicit function

◆ Elongate()

template<class T >

std::shared_ptr< ImplicitFunction< T > > Elongate	(	const std::shared_ptr< ImplicitFunction< T > > &	a_implicitFunction,
		const Vec3T< T > &	a_elongation
	)

noexcept

Convenience function for elongating (stretching) an implicit function.

Parameters

[in]	a_implicitFunction	Implicit function to be elongated
[in]	a_elongation	Elongation

◆ Mollify()

template<class T >

std::shared_ptr< ImplicitFunction< T > > Mollify	(	const std::shared_ptr< ImplicitFunction< T > > &	a_implicitFunction,
		const T	a_dist,
		const size_t	a_mollifierSamples = `2`
	)

noexcept

Convenience function for mollification with an input sphere.

Parameters

[in]	a_implicitFunction	Input implicit function to be mollifier
[in]	a_dist	Mollification distance.
[in]	a_mollifierSamples	Number of samples for the mollifier

◆ Offset()

template<class T >

std::shared_ptr< ImplicitFunction< T > > Offset	(	const std::shared_ptr< ImplicitFunction< T > > &	a_implicitFunction,
		const T	a_offset
	)

noexcept

Convenience function for offsetting an implicit function.

Parameters

[in]	a_implicitFunction	Input implicit function to be offset
[in]	a_offset	Offset distance

◆ Reflect()

template<class T >

std::shared_ptr< ImplicitFunction< T > > Reflect	(	const std::shared_ptr< ImplicitFunction< T > > &	a_implicitFunction,
		const size_t &	a_reflectPlane
	)

noexcept

Convenience function for reflecting an implicit function.

Parameters

[in]	a_implicitFunction	Implicit function to be reflected
[in]	a_reflectPlane	Plane to reflect across (0=yz-plane, 1=xz-plane, 2=xy-plane).

◆ Rotate()

template<class T >

std::shared_ptr< ImplicitFunction< T > > Rotate	(	const std::shared_ptr< ImplicitFunction< T > > &	a_implicitFunction,
		const T	a_angle,
		const size_t	a_axis
	)

noexcept

Convenience function for rotating an implicit function.

Parameters

[in]	a_implicitFunction	Input implicit function to be rotated.
[in]	a_angle	Angle to be rotated by (in degrees)
[in]	a_axis	Axis to rotate about

◆ Scale()

template<class T >

std::shared_ptr< ImplicitFunction< T > > Scale	(	const std::shared_ptr< ImplicitFunction< T > > &	a_implicitFunction,
		const T	a_scale
	)

noexcept

Convenience function for scaling an implicit function.

Parameters

[in]	a_implicitFunction	Input implicit function to be scaled.
[in]	a_scale	Scaling factor

◆ Translate()

template<class T >

std::shared_ptr< ImplicitFunction< T > > Translate	(	const std::shared_ptr< ImplicitFunction< T > > &	a_implicitFunction,
		const Vec3T< T > &	a_shift
	)

noexcept

Convenience function for translating an implicit function.

Parameters

[in]	a_implicitFunction	Input implicit function to be translated
[in]	a_shift	Distance to shift

Classes

Functions

Detailed Description

Function Documentation

◆ Annular()

◆ Blur()

◆ Complement()

◆ Elongate()

◆ Mollify()

◆ Offset()

◆ Reflect()

◆ Rotate()

◆ Scale()

◆ Translate()