SDFNode Class Reference

Base signed distance node. More...

#include <sdf.h>

Inheritance diagram for SDFNode:

Public Member Functions
	SDFNode ()
	Create a generic node.
virtual	~SDFNode ()
	Destructor.
virtual double	Signed (const Vector &) const
	Compute the signed distance. More...
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 int	Memory () const
	Return the size of a sub-tree.
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.

Static Public Member Functions
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.

Protected Attributes
Box	box
	Box bounding the surface.
double	k
	Lipschitz constant.

Static Protected Attributes
static constexpr double	Epsilon = 0.01
	Small constant used for bounding volumes.

Detailed Description

Base signed distance node.

Member Function Documentation

Gradient()

Vector SDFNode::Gradient ( const Vector &  p ) const

virtual

Compute the gradient of the field.

Parameters

p

Point.

Reimplemented in SDFSphere, SDFBubble, SDFDisc, SDFCapsule, SDFTorus, SDFCircleArc, SDFPlane, SDFSlab, SDFCylinder, SDFCone, SDFBox, SDFPyramid, SDFQuadricCurve, SDFSphereNoiseRadial, SDFUnion, and SDFSegment.

Inside()

bool SDFNode::Inside ( const Vector &  p ) const

virtual

Check if a point is inside or outside.

Parameters

p

Point.

K() [1/2]

double SDFNode::K ( ) const

virtual

Return the Lipschitz constant of the node.

By default, nodes are considered as signed Euclidean distance functions, and the Lipschitz constant is λ=1.

Reimplemented in SDFLodSphere.

K() [2/2]

double SDFNode::K ( const Box &  b ) const

virtual

Return the local Lipschitz constant.

Parameters

b

Box

Reimplemented in SDFBinary, and SDFUnary.

Signed()

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

virtual

Compute the signed distance.

Parameters

p

Point.

Reimplemented in SDFPrimitive, SDFEuclidean, SDFSphere, SDFRotational, SDFSegment, SDFBubble, SDFDisc, SDFLink, SDFHemiSphere, SDFCapsule, SDFTorus, SDFCircleArc, SDFPlane, SDFSlab, SDFCylinder, SDFQuadricCylinder, SDFCone, SDFTetra, SDFRectangle, SDFTubular, SDFVirtualHeightField, SDFHeightField, SDFBox, SDFHyperSphere, SDFHyperEllipsoid, SDFHyperEdge, SDFHyperDisc, SDFCage, SDFCylinderCage, SDFSphereCage, SDFOctahedron, SDFPyramid, SDFEgg, SDFConvex, SDFIcosahedron, SDFIcosidodecahedron, SDFCuboctahedron, SDFConvexSmooth, SDFQuadricCurve, SDFQuadricSweptSphere, SDFQuadricTube, SDFCubicCurve, SDFDodecahedron, SDFSphereNoiseRadial, SDFSegmentNoiseRadial, SDFEllipsoid, SDFVoronoi, SDFDifference, SDFSmoothDifference, SDFUnion, SDFContact, SDFUnionR, SDFSmoothUnion, SDFSmoothUnionSphereLOD, SDFIntersection, SDFSmoothIntersection, SDFUnary, SDFBlob, SDFBoundingBox, SDFBoundingSphere, SDFRound, SDFTaper, SDFTwist, SDFScale, SDFUniformScale, SDFRotate, SDFTranslate, SDFFrame, SDFPlanarSymmetry, SDFVoxelize, SDFTriplanar, SDFNoise, SDFTurbulence, SDFWarpTurbulence, SDFAddSphere, SDFLodSphere, SDFClone, SDFCloneRevolution, SDFPolygonExtruded, SDFExtrudedEllipse, SDFHexagonal, SDFVoxel, SDFVolume, SDFSorQuadricTube, SDFExtrusionAxis, SDFRevolution, SDFExtrusionInterpolation, SDFExtrusionNoise, SDFExtrusionCurve, SDFExtrusionCubicCurve, SDFMesh, SDFMeshClamped, and SDFCylinderNoise.

SmoothingExp()

double SDFNode::SmoothingExp ( double  a, double  b, double  s  )

inlinestatic

Generalized exponential smoothing function between two distances.

Union: SmoothingExp(a, b, smooth); Inter: -SmoothingExp(-a, -b, smooth); Diffe: SmoothingExp(-d1, d2, smooth);

The function is associative.

Parameters

a,b	Distances.
s	Smoothing radius.

SmoothingPolynomial()

double SDFNode::SmoothingPolynomial ( double  a, double  b, double  sr  )

inlinestatic

Generalized C1 polynomial smoothing function between two distances.

This is a general version of the union, intersection and difference function of Media Molecule using in the Dreams video game. Union: SmoothingPolynomial(a, b, smooth); Inter: -SmoothingPolynomial(-a, -b, smooth); Diffe: SmoothingPolynomial(-d1, d2, smooth);

The function is not associative.

Parameters

a,b	Distances.
sr	Smoothing radius.

SmoothingPolynomialCubic()

double SDFNode::SmoothingPolynomialCubic ( double  a, double  b, double  sr  )

inlinestatic

Generalized C2 polynomial smoothing function between two distances.

This is a general version of the union, intersection and difference function of Media Molecule using in the video game Dreams. Union: SmoothingPolynomialCubic(a, b, smooth); Inter: -SmoothingPolynomialCubic(-a, -b, smooth); Diffe: SmoothingPolynomialCubic(-d1, d2, smooth);

The function is not associative.

Parameters

a,b	Distances.
sr	Smoothing radius.

SmoothingQuilez()

double SDFNode::SmoothingQuilez ( double  a, double  b, double  sr  )

inlinestatic

Generalized polynomial smoothing function between two distances.

This is a general version of the union, intersection and difference function of Inigo Quilez. Union: SmoothingQuilez(a, b, smooth); Inter: -SmoothingQuilez(-a, -b, smooth); Diffe: SmoothingQuilez(-d1, d2, smooth);

The function is not associative.

Parameters

a,b	Distances.
sr	Smoothing radius.

Stalactite()

SDFNode * 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  )

static

Procedural parameterized stalactite.

Author

Lucie Fournier

Parameters

p	: position (en haut) de la stalactite
h	: la hauteur (longueur) de la stalactite
r	: le rayon (en haut) de la stalactite
noise	: si on ajoute ou non le bruit
random	: pour les tirages aleatoires
largeur	: difference de largeur entre les differentes spheres de la stalactite
espacement	: force de l'espacement differentiel entre les differentes spheres de la stalactite