Various notes on polygons and meshes
Includes Surface (polygon) simplification,
Clipping a polygonal facet with an arbitrary plane,
Surface Relaxation and Smoothing of polygonal data,
Mesh crumpling, splitting polygons, two sided facets, polygon types.
Philosophy is written in this grand book  I mean universe  which stands continuously open to our gaze, but which cannot be understood unless one first learns to comprehend the language in which it is written. It is written in the language of mathematics, and its characters are triangles, circles and other geometric figures, without which it is humanly impossible to understand a single word of it; without these, one is wandering about in a dark labyrinth. Galileo (1623)
Contouring Algorithm
Description of an efficient contouring algorithm
as it appeared in Byte magazine. (Byte Magazine, 1987) and a more
general approach for arbitrary contour planes and polygonal meshes.
Spherical projections
Methods for mapping points on a spherical surface onto a plane,
stereographic and cylindrical (including Mercator) projections.
Includes Aitoff map projection: Conversion to/from longitude/latitude (spherical map)
Projection types
Classification of projections from 3D to 2D and specific examples of oblique projections.
A triangle was an improvement to the square wheel. It eliminated one bump. BC comics
Planar (stretching) distortion in the plane
Including Anamorphic projections and Mappings in the Complex Plane
(Otherwise known as Conformal maps)
Polygonising a scalar field
Otherwise known as marching cubes and marching tetrahedrons.
HyperSpace (Historic)
A Macintosh 4 dimensional geometry viewer and manual.
There are holes in the sky. Where the rain gets in. But they're ever so small. That's why the rain is thin. Spike Milligan
