Dilated< Shape > Class Template Reference

A wrapper shape which dilates the extents of another Shape. More...

#include <geomc/shape/Dilated.h>

Inheritance diagram for Dilated< 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.
typedef Shape::elem_t	T
	The coordinate type of this Shape.

Public Member Functions
	Dilated ()
	Wrap a default-constructed Shape with zero dilation.
	Dilated (const Shape &s)
	Wrap s with zero dilation.
	Dilated (const Shape &s, T dilation)
	Dilate s by the amount dilation.
Rect< T, N >	bounds () const
Vec< Shape::elem_t, N >	clip (Vec< Shape::elem_t, N > p) const
	Nearest point on the interior of the shape.
bool	contains (Vec< T, N > p) const
	Point containment test.
point_t	convex_support (point_t d) const
	Geometric convex support function.
Vec< T, N >	convex_support (Vec< T, N > d) const
bool	intersects (const Convex< Shape::elem_t, N, Shape > &other) const
	Convex shape overlap test.
Vec< T, N >	normal (Vec< T, N > p) const
bool	operator== (const Dilated &other) const
Vec< T, N >	project (Vec< T, N > p) const
	Orthogonally project p 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
T	dilation
	Dilation distance; a nonnegative number.
Shape	shape
	Un-dilated shape.

Static Public Attributes
static constexpr size_t	N = Shape::N
	The dimension of this Shape.

Related Symbols
(Note that these are not member symbols.)
template<typename Shape>
Dilated< Shape >	dilate (const Dilated< Shape > &s, typename Shape::elem_t dilation)
	Dilate the shape s by the amount dilation.
template<typename Shape>
Dilated< Shape >	dilate (const Shape &s, typename Shape::elem_t dilation)
	Dilate the shape s by the amount dilation.
template<typename T, index_t N>
Sphere< T, N >	dilate (const Sphere< T, N > &s, T dilation)
	Dilate the Sphere s by the amount dilation.
template<typename T, index_t N>
Plane< T, N >	dilate (Plane< T, N > p, T dilation)
	Dilate the Plane p by the amount dilation.
template<typename T, index_t N>
Dilated< Hollow< Sphere< T, N > > >	shell (const Sphere< T, N > &s, T thickness)
	Create a spherical shell with wall thickness thickness around the Sphere s.
template<typename T, index_t N>
Dilated< Hollow< Sphere< T, N > > >	shell (Vec< T, N > center, T r0, T r1)
	Create a spherical shell around center, with inner and outer radii r0 and r1.

Detailed Description

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

A wrapper shape which dilates the extents of another Shape.

The shape is the one that would result by placing a sphere of radius dilation at every point on the surface of the un-dilated shape.

It is not valid to construct a shape with a negative dilation.

Dilated shapes can be constructed with the convenience function dilate(), which has overrides for certain shapes that are innately dilatable.

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

clip()

Vec< Shape::elem_t, N > clip ( Vec< Shape::elem_t, N > p ) const

inlineinherited

Nearest point on the interior of the shape.

If p is on the interior of the shape, return p unaltered; otherwise orthogonally project p to the shape's surface.

convex_support()

point_t convex_support ( point_t d ) const

inlineinherited

Geometric convex support function.

Returns the point on the surface of this convex shape that is furthest along direction d (i.e., has the highest dot product with d).

All shapes which implement this function automatically support geometrical intersection tests with any other Convex object.

Parameters

d	Direction along which to find a support plane.

Returns

A point on the surface of this convex shape.

intersects()

bool intersects ( const Convex< Shape::elem_t, N, Shape > & other ) const

inlineinherited

Convex shape overlap test.

Returns

True if and only if this convex shape overlaps other; false otherwise.

---

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

• geomc/shape/Dilated.h