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We present an unstructured triangular mesh generation algorithm that approximates a set of mutually non-intersecting simple trimmed rational B-spline surface patches within a user specified geometric tolerance. The proposed method uses numerically robust interval geometric representations/computations and also addresses the problem of topological consistency (homeomorphism) between the exact geometry and its approximation. Those are among the most important outstanding issues in geometrydoi:10.1109/cgi.1998.694308 dblp:conf/cgi/ChoMPP98 fatcat:ufbxecm7vbhzppgsjwkdon4bgy