Marching Cubes 33 : Construction of Topologically Correct

An algorithm implemented in the HIGZ graphics package for the construction of isosurfaces from vol-umetric datasets is discussed. This algorithm is an improved version of the Marching Cubes method. For each cell considered independently, the algorithm permits the construction of a triangle model, the topology of which coincides exactly with the topology of the iso-surface of the trilinear function. It is shown that there are 33 topologically diierent conngurations, instead of 15 as with the MC-method.