A new method for constructing interpolating Loop subdivision surfaces is presented. The new method is an extension of the progressive interpolation technique for B-splines. Given a triangular mesh M, the idea is to iteratively upgrade the vertices of M to generate a new control mesh such that limit surface of interpolates M. It can be shown that the iterative process is convergent for Loop subdivision surfaces. Hence, the method is well-defined. The new method has the advantages of both a local method and a global method, i.e., it can handle meshes of any size and any topology while generating smooth interpolating subdivision surfaces that faithfully resemble the shape of the given meshes. © 2008 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Cheng, F., Fan, F., Lai, S., Huang, C., Wang, J., & Yong, J. (2008). Progressive interpolation using loop subdivision surfaces. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4975 LNCS, pp. 526–533). Springer Verlag. https://doi.org/10.1007/978-3-540-79246-8_43
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