MADNESS  0.10.1
Classes | Namespaces
sdf_shape_3D.h File Reference

Implements the SignedDFInterface for common 3-D geometric objects. More...

#include <madness/mra/sdf_domainmask.h>
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Classes

class  madness::SDFBox
 A box (3 dimensions) More...
 
class  madness::SDFCone
 A cone (3 dimensions) More...
 
class  madness::SDFCube
 A cube (3 dimensions) More...
 
class  madness::SDFCylinder
 A cylinder (3 dimensions) More...
 
class  madness::SDFEllipsoid
 An ellipsoid (3 dimensions) More...
 
class  madness::SDFParaboloid
 A paraboloid (3 dimensions) More...
 
class  madness::SDFPlane
 A plane surface (3 dimensions) More...
 
class  madness::SDFSphere
 A spherical surface (3 dimensions) More...
 

Namespaces

 madness
 File holds all helper structures necessary for the CC_Operator and CC2 class.
 

Detailed Description

Implements the SignedDFInterface for common 3-D geometric objects.

This file provides signed distance functions for common 3-D geometric objects:

Note
The signed distance functions should be the shortest distance between a point and any point on the surface. This is hard to calculate in many cases, so we use contours here. The surface layer may not be equally thick around all points on the surface. Some surfaces (plane, sphere, paraboloid) use the exact signed distance functions. All others use the contours, which may be extremely problematic and cause excessive refinement. The sdf function of the sphere class outlines how to calculate the exact signed distance functions, if needed.