Abstract

An algorithm for obtaining a piecewise planar approximation of a trimmed nurbs surface is presented. Given a model space tolerance ε. the algorithm triangulates the parameter space domain of the trimmed surface such that the 3D planar approximation, obtained by mapping 2D triangles onto the surface, deviates from the trimmed surface by no more than ε. The number of triangles computed in parameter space depends on the bounds of the second derivatives. A detailed discussion of the algorithm and a practical error analysis of the tessellation are provided.

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