Method and apparatus for fast and efficient mesh simplification

摘要

A method and apparatus for the simplification of a mesh surface is disclosed that preserves the original geometry of the shape of the surface and, at the same time, reduces undesirable triangle geometries. In one embodiment, a mesh simplification process first determines whether an edge swap operation should be performed as a function of a threshold criteria. Such a threshold may be a function of the span angles and cross angles associated with an edge or, alternatively, may be a predetermined span angle size threshold. In another embodiment, the decision as to whether to contract an edge is made by comparing the size of at least one span angle with a span angle threshold and by comparing the sizes of incident angles associated with the edge to an incident angle threshold.