SDFConvex Class Reference

Convex polyhedra. More...

#include <sdf.h>

Inheritance diagram for SDFConvex:

Public Member Functions
	SDFConvex (const Box &)
	Create a convex primitive from a box. More...
	SDFConvex (const Dodecahedron &)
	Create a convex from a dodecahedron. More...
	SDFConvex (const Tetrahedra &)
	Create a convex from a tetrahedron. More...
	SDFConvex (const Octahedron &)
	Create a convex from an octahedron. More...
	SDFConvex (const Icosahedron &)
	Create a convex from an icosahedron. More...
	SDFConvex (const Icosidodecahedron &)
	Create a convex primitive from an icosidodecahedron. More...
	SDFConvex (const QVector< Plane > &)
	Create a convex primitive from a set of planes. More...
	SDFConvex (const QVector< Plane > &, const Box &)
	Create a convex primitive from a set of planes, and a bounding box already computed. More...
virtual	~SDFConvex ()
	Destructor.
double	Signed (const Vector &) const
	Compute the signed distance. More...
int	Memory () const
	Return the size of a sub-tree. More...
virtual SDFNode *	Copy () const
	Deep copy.
Public Member Functions inherited from SDFPrimitive
	SDFPrimitive ()
	Create a primitive.
virtual	~SDFPrimitive ()
	Destructor.
Public Member Functions inherited from SDFNode
	SDFNode ()
	Create a generic node.
virtual	~SDFNode ()
	Destructor.
virtual Vector	Gradient (const Vector &) const
	Compute the gradient of the field. More...
virtual bool	Inside (const Vector &) const
	Check if a point is inside or outside. More...
virtual double	K () const
	Return the Lipschitz constant of the node. More...
virtual double	K (const Box &) const
	Return the local Lipschitz constant. More...
Box	GetBox () const
	Return the bounding box of the node.
virtual int	Nodes () const
	Compute the number of nodes in the sub-tree.

Protected Attributes
QVector< Plane >	planes
	Set of intersecting planes.
Protected Attributes inherited from SDFNode
Box	box
	Box bounding the surface.
double	k
	Lipschitz constant.

Additional Inherited Members
Static Public Member Functions inherited from SDFNode
static double	SmoothingPolynomialCubic (double d1, double d2, double sr)
	Generalized C2 polynomial smoothing function between two distances. More...
static double	SmoothingPolynomial (double d1, double d2, double sr)
	Generalized C1 polynomial smoothing function between two distances. More...
static double	SmoothingQuilez (double d1, double d2, double sr)
	Generalized polynomial smoothing function between two distances. More...
static double	SmoothingExp (double d1, double d2, double sr)
	Generalized exponential smoothing function between two distances. More...
static SDFNode *	Stalactite (const Vector &p, const double &h, const double &r, bool noise=true, Random &random=Random::R239, const double &largeur=0.25, const double &espacement=0.61)
	Procedural parameterized stalactite. More...
static SDFNode *	SpherePieces ()
	Sphere carved, placed on a cylinder. Nice scene for testing sharp features reconstruction.
Static Protected Attributes inherited from SDFNode
static constexpr double	Epsilon = 0.01
	Small constant used for bounding volumes.

Detailed Description

Convex polyhedra.

The signed distance function is defined as the maximum signed distance to planes.

Constructor & Destructor Documentation

SDFConvex() [1/8]

SDFConvex::SDFConvex ( const Box &  b )

explicit

Create a convex primitive from a box.

Parameters

b

The box.

SDFConvex() [2/8]

SDFConvex::SDFConvex ( const Dodecahedron &  dodeca )

explicit

Create a convex from a dodecahedron.

Parameters

dodeca

Dodecahedron.

SDFConvex() [3/8]

SDFConvex::SDFConvex ( const Tetrahedra &  tetra )

explicit

Create a convex from a tetrahedron.

Parameters

tetra

Tetrahedron.

SDFConvex() [4/8]

SDFConvex::SDFConvex ( const Octahedron &  octa )

explicit

Create a convex from an octahedron.

See also

SDFOctahedron

Parameters

octa	Octahedron.

SDFConvex() [5/8]

SDFConvex::SDFConvex ( const Icosahedron &  icosa )

explicit

Create a convex from an icosahedron.

Parameters

icosa

Icosahedron.

SDFConvex() [6/8]

SDFConvex::SDFConvex ( const Icosidodecahedron &  icosi )

explicit

Create a convex primitive from an icosidodecahedron.

Parameters

icosi

Icosidodecahedron.

SDFConvex() [7/8]

SDFConvex::SDFConvex ( const QVector< Plane > &  p )

explicit

Create a convex primitive from a set of planes.

Parameters

p	Set of planes.

SDFConvex() [8/8]

SDFConvex::SDFConvex ( const QVector< Plane > &  p, const Box &  bbox  )

explicit

Create a convex primitive from a set of planes, and a bounding box already computed.

This constructor avoids the O(n⁴) computation of the bounding box of the other constructor.

Parameters

p	Set of planes.
bbox	Bounding box.

Member Function Documentation

Memory()

int SDFConvex::Memory ( ) const

virtual

Return the size of a sub-tree.

Reimplemented from SDFNode.

Reimplemented in SDFConvexSmooth.

Signed()

double SDFConvex::Signed ( const Vector &  p ) const

virtual

Compute the signed distance.

Parameters

p

Point.

Signed distance is defined and computed as the maximum (intersection) of the signed distance field values from the planes.

Reimplemented from SDFPrimitive.

Reimplemented in SDFConvexSmooth.