EBGeometry::RoundedBoxSDF< T > Class Template Reference

Signed distance field for an axis-aligned box with rounded corners. More...

#include <EBGeometry_AnalyticDistanceFunctions.hpp>

Inheritance diagram for EBGeometry::RoundedBoxSDF< T >:

Collaboration diagram for EBGeometry::RoundedBoxSDF< T >:

Public Member Functions
	RoundedBoxSDF ()=default
	Default constructor. Constructs a rounded unit cube centered at the origin ([-0.5, 0.5]^3 before rounding) with corner curvature 0.1.
	RoundedBoxSDF (const Vec3T< T > &a_dimensions, const T a_curvature) noexcept
	Full constructor.
	RoundedBoxSDF (const RoundedBoxSDF &)=default
	Copy constructor. Shares the internal sphere object.
	RoundedBoxSDF (RoundedBoxSDF &&)=default
	Move constructor.
RoundedBoxSDF &	operator= (const RoundedBoxSDF &)=default
	Copy assignment. Shares the internal sphere object.
RoundedBoxSDF &	operator= (RoundedBoxSDF &&)=default
	Move assignment.
	~RoundedBoxSDF () override=default
	Destructor.
T	signedDistance (const Vec3T< T > &a_point) const noexcept override
	Signed distance function for the rounded box.
Public Member Functions inherited from EBGeometry::SignedDistanceFunction< T >
	SignedDistanceFunction ()=default
	Default constructor.
	~SignedDistanceFunction () override=default
	Destructor.
T	value (const Vec3T< T > &a_point) const noexcept final
	Implementation of ImplicitFunction::value; delegates to signedDistance().
virtual Vec3T< T >	normal (const Vec3T< T > &a_point, const T &a_delta) const noexcept
	Compute the outward normal using central finite differences.
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::shared_ptr< SphereSDF< T > >	m_sphere = std::make_shared<SphereSDF<T>>(Vec3T<T>::zeros(), T(0.1))
	Sphere of radius = curvature used to round the corners.
Vec3T< T >	m_dimensions = Vec3T<T>(T(0.5), T(0.5), T(0.5))
	Half-extents of the inner box (= 0.5 * the user-supplied dimensions).

Detailed Description

template<class T>
class EBGeometry::RoundedBoxSDF< T >

Signed distance field for an axis-aligned box with rounded corners.

The box is centred at the origin. The constructor takes the full side lengths along each axis and a corner curvature radius. Internally, half-extents m_dimensions = 0.5 * a_dimensions are stored. The actual bounding half-extent in each direction is m_dimensions[i] + curvature, so the total bounding box has full side lengths a_dimensions[i] + 2 * curvature. The corners are rounded by spheres of radius curvature. The SDF is negative inside and positive outside.

Template Parameters

T	Floating-point precision.

Constructor & Destructor Documentation

RoundedBoxSDF() [1/2]

template<class T >

EBGeometry::RoundedBoxSDF< T >::RoundedBoxSDF ( )

default

Default constructor. Constructs a rounded unit cube centered at the origin ([-0.5, 0.5]^3 before rounding) with corner curvature 0.1.

Total half-extent in each direction is 0.5 + 0.1 = 0.6.

RoundedBoxSDF() [2/2]

template<class T >

EBGeometry::RoundedBoxSDF< T >::RoundedBoxSDF ( const Vec3T< T > &  a_dimensions, const T  a_curvature  )

inlinenoexcept

Full constructor.

The total half-extent in direction i is 0.5*a_dimensions[i] + a_curvature.

Parameters

[in]	a_dimensions	Box dimensions (full side lengths before rounding).
[in]	a_curvature	Corner sphere radius. Must be > 0.

Member Function Documentation

operator=() [1/2]

template<class T >

RoundedBoxSDF & EBGeometry::RoundedBoxSDF< T >::operator= ( const RoundedBoxSDF< T > &  )

default

Copy assignment. Shares the internal sphere object.

Returns

Reference to (*this).

operator=() [2/2]

template<class T >

RoundedBoxSDF & EBGeometry::RoundedBoxSDF< T >::operator= ( RoundedBoxSDF< T > &&  )

default

Move assignment.

Returns

Reference to (*this).

signedDistance()

template<class T >

T EBGeometry::RoundedBoxSDF< T >::signedDistance ( const Vec3T< T > &  a_point ) const

inlineoverridevirtualnoexcept

Signed distance function for the rounded box.

Parameters

[in]

a_point

Position.

Returns

Signed distance from a_point to the rounded-box surface; negative inside.

Implements EBGeometry::SignedDistanceFunction< T >.

---

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

• Source/EBGeometry_AnalyticDistanceFunctions.hpp