Abstract

We present a new approach for simplifying models composed of spline patches. Given an input model, the algorithm computes a new approximation of the model in terms of cubic triangular Bézier patches. It performs a series of geometric operations, consisting of patch merging and swapping diagonals, and makes use of patch connectivity information to generate C-LODs (curved levels-of-detail). Each C-LOD is represented using cubic triangular Bézier patches. The C-LODs provide a compact representation for storing the model. We also present techniques to quantify the error introduced by our algorithm. Given the C-LODs, the tessellation algorithms can generate polygonal approximations using static and dynamic tessellation schemes. The simplification algorithm has been implemented and we highlight its performance on different models.

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