Abstract
This chapter presents a new and direct approach for Loop subdivision surface fitting from a dense triangular mesh with arbitrary topology. The initial mesh model is first simplified with a topology-and feature-preserving mesh decimation algorithm. The simplified mesh is further used as the topological model of a Loop subdivision surface. The control vertices of the subdivision surface are finally fitted from a subset of vertices of the original dense mesh. During the fitting process, both the subdivision rules and position masks are used for setting up the observation equations. The emphasis of this chapter is on fitting issues. While only the Loop subdivision scheme is discussed in this chapter, the approach is applicable to any stationery subdivision scheme.
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