Hollow< Shape > Class Template Reference

Selects the boundary of a shape. More...

#include <geomc/shape/Hollow.h>

Inheritance diagram for Hollow< Shape >:

Public Types
using	elem_t
	The coordinate type of this object.
using	point_t
	The type of a point in this object's space.
using	T = elem_t

Public Member Functions
	Hollow ()
	Wrap a default-constructed shape with the identity transform.
	Hollow (const Shape &shape)
	Wrap a shape with a similarity transform.
Rect< T, N >	bounds () const
	Compute the axis-aligned bounding box of the shape.
Vec< T, N >	clip (Vec< T, N > p) const
	Nearest point on the interior of the shape to p; the same as project(p), since hollow shapes do not have an interior.
bool	contains (typename Shape::point_t p) const
	Shape-point intersection test. Always returns false, because hollow shapes are infinitely thin.
T	measure_boundary () const
	Measure the boundary (surface area) of the shape.
Vec< T, N >	normal (Vec< T, N > p) const
	Normal vector at point p.
bool	operator== (const Hollow &other) const
	Shape equality test.
Vec< T, N >	project (Vec< T, N > p) const
	Project a point to the surface of this shape.
T	sdf (Vec< T, N > p) const
	Signed distance function.

Static Public Member Functions
static constexpr bool	admits_cusps ()

Public Attributes
Shape	shape
	Solid shape.

Static Public Attributes
static constexpr index_t	N
	The dimension of this object.

Related Symbols
(Note that these are not member symbols.)
template<typename Shape, Transform< typename Shape::elem_t, Shape::N > Xf>
Hollow< Shape >	operator* (const Xf &xf, const Hollow< Shape > &s)
	Transform a hollow shape.
template<typename Shape, Transform< typename Shape::elem_t, Shape::N > Xf>
Hollow< Shape >	operator/ (const Hollow< Shape > &s, const Xf &xf)
	Inverse transform a hollow shape.
template<typename Shape, Transform< typename Shape::elem_t, Shape::N > Xf>
Hollow< Shape > &	operator*= (Hollow< Shape > &s, const Xf &xf)
	In-place transform a hollow shape.
template<typename Shape, Transform< typename Shape::elem_t, Shape::N > Xf>
Hollow< Shape > &	operator/= (Hollow< Shape > &s, const Xf &xf)
	In-place inverse transform a hollow shape.

Detailed Description

template<typename Shape>
class geom::Hollow< Shape >

Selects the boundary of a shape.

Hollow shapes are infinitely thin. They are the boundary of a shape, but do not contain any points. Hollow shapes can report the distance to their surface, the normal vector at a test point, and can orthogonally project points onto their surface.

Hollow shapes may be a useful foundation for thick-shelled shapes using the Dilated shape wrapper.

Member Typedef Documentation

point_t

using point_t

inherited

The type of a point in this object's space.

An N-vector of T if N > 1, otherwise a T.

Member Function Documentation

measure_boundary()

template<typename Shape>

T measure_boundary ( ) const

inline

Measure the boundary (surface area) of the shape.

This is the same as the boundary of the inner shape. Hollow shapes do not have any volume, so this is their only meaningful measure.

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

• geomc/shape/Hollow.h