EBGeometry::SmoothUnionIF< T > Class Template Reference

Implicit function whose interior is a smoothly blended union of all input function interiors. More...

#include <EBGeometry_CSG.hpp>

Inheritance diagram for EBGeometry::SmoothUnionIF< T >:

Collaboration diagram for EBGeometry::SmoothUnionIF< T >:

Public Member Functions
	SmoothUnionIF ()=delete
	Disallowed, use the full constructor.
	SmoothUnionIF (const std::vector< std::shared_ptr< ImplicitFunction< T > > > &a_implicitFunctions, const T a_smoothLen, const std::function< T(const T &a, const T &b, const T &s)> a_smoothMin=SmoothMin< T >)
	Constructs the smooth union of the given implicit functions.
	~SmoothUnionIF () override=default
	Destructor.
T	value (const Vec3T< T > &a_point) const noexcept override
	Evaluates the smoothly blended signed distance at a_point.
Public Member Functions inherited from EBGeometry::ImplicitFunction< T >
	ImplicitFunction ()=default
	Default constructor.
virtual	~ImplicitFunction ()=default
	Default destructor.
T	operator() (const Vec3T< T > &a_point) const noexcept
	Call operator — alternative signature for the value function.
template<class BV >
BV	approximateBoundingVolumeOctree (const Vec3T< T > &a_initialLowCorner, const Vec3T< T > &a_initialHighCorner, const unsigned int a_maxTreeDepth, const T &a_safety=0.0) const
	Compute an approximation to the bounding volume for the implicit surface using octree subdivision.

Protected Attributes
std::vector< std::shared_ptr< const ImplicitFunction< T > > >	m_implicitFunctions
	Stored implicit functions.
T	m_smoothLen
	Smoothing length.
std::function< T(const T &, const T &, const T &)>	m_smoothMin
	Smooth-minimum operator.

Detailed Description

template<class T>
class EBGeometry::SmoothUnionIF< T >

Implicit function whose interior is a smoothly blended union of all input function interiors.

Replaces the sharp min of UnionIF with a smooth-minimum operator, yielding a C1 (or better) interface where interiors overlap. Only the two closest values are blended; the blend region width is controlled by m_smoothLen.

Template Parameters

T	Floating-point precision.

Constructor & Destructor Documentation

SmoothUnionIF()

template<class T >

EBGeometry::SmoothUnionIF< T >::SmoothUnionIF	(	const std::vector< std::shared_ptr< ImplicitFunction< T > > > &	a_implicitFunctions,
		const T	a_smoothLen,
		const std::function< T(const T &a, const T &b, const T &s)>	a_smoothMin = SmoothMin< T >
	)

Constructs the smooth union of the given implicit functions.

Parameters

[in]	a_implicitFunctions	List of implicit functions (must be non-empty; no null entries).
[in]	a_smoothLen	Smoothing length (must be > 0).
[in]	a_smoothMin	Smooth-minimum operator; defaults to SmoothMin<T>.

Member Function Documentation

value()

template<class T >

T EBGeometry::SmoothUnionIF< T >::value ( const Vec3T< T > &  a_point ) const

overridevirtualnoexcept

Evaluates the smoothly blended signed distance at a_point.

Finds the two closest function values and applies the stored smooth-minimum operator. Negative when inside the smooth union.

Parameters

[in]

a_point

3D query point.

Returns

Smooth minimum signed distance value.

Implements EBGeometry::ImplicitFunction< T >.

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

• Source/EBGeometry_CSG.hpp