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https://doi.org/10.1016/j.comgeo.2006.10.003
| Title: | Approximating polyhedral objects with deformable smooth surfaces | Authors: | Cheng, H.-L. Tan, T. |
Keywords: | Computational geometry Deformation Hausdorff distance Homeomorphism Polyhedral objects approximation Smooth surface |
Issue Date: | 2008 | Citation: | Cheng, H.-L., Tan, T. (2008). Approximating polyhedral objects with deformable smooth surfaces. Computational Geometry: Theory and Applications 39 (2) : 104-117. ScholarBank@NUS Repository. https://doi.org/10.1016/j.comgeo.2006.10.003 | Abstract: | We propose a method to approximate a polyhedral object with a deformable smooth surface, namely the t-skin defined by Edelsbrunner for all 0<t<1. We guarantee that they are homeomorphic and their Hausdorff distance is at most >0. This construction makes it possible for fully automatic, smooth and robust deformation between two polyhedral objects with different topologies. En route to our results, we also give an approximation of a polyhedral object with a union of balls. © 2006 Published by Elsevier B.V. | Source Title: | Computational Geometry: Theory and Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/39732 | ISSN: | 09257721 | DOI: | 10.1016/j.comgeo.2006.10.003 |
| Appears in Collections: | Staff Publications |
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