Optimization Based Loop Subdivision Surface Fitting

This paper presents an iterative algorithm to construct a fitting Loop subdivision surface from a given 3D model by minimizing the approximation error between the fitting surface and the original model. The approximation error is defined as the integral of the minimum distance between each surfel on the original model and the fitting surface.By comparing this algorithm with the Loop subdivision wavelet decomposition algorithm,it is shown that our algorithm generates better results at a moderate running time cost. Moreover,our algorithm can be extended to serve as the basis of a class of optimization algorithms for constructing the approximation representation from an input model.