Superfaces: polygonal mesh simplification with bounded error

Abstract
We describe Superfaces, a domain-independent method for simplifying polyhedral meshes. The Superfaces algorithm performs the simplification based on a bounded approximation criterion that produces a simplified mesh that approximates the original one to within a pre-specified tolerance. The vertices in the simplified mesh are a proper subset of the original vertices, so the algorithm is well-suited for creating hierarchical representations of polyhedra.We have used the algorithm to simplify isosurfaces derived form medical CT scans, molecular electron density volume data, and topographic data of the earth.

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