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|Title:||Approximating polyhedral objects with deformable smooth surfaces|
|Authors:||Cheng, H.-L. |
Polyhedral objects approximation
|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|
|Appears in Collections:||Staff Publications|
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