Please use this identifier to cite or link to this item: 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

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

1
checked on Oct 16, 2018

Page view(s)

70
checked on Oct 6, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.