Implements the SignedDFInterface for common 3-D geometric objects. More...
#include <madness/mra/sdf_domainmask.h>
Include dependency graph for sdf_shape_3D.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 | |
| namespace | madness |
| Namespace for all elements and tools of MADNESS. | |
Detailed Description
Implements the SignedDFInterface for common 3-D geometric objects.
This file provides signed distance functions for common 3-D geometric objects:
- Plane
- Sphere
- Cone
- Paraboloid
- Box
- Cube
- Ellipsoid
- Cylinder
- 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.
