An approach to surface retouching and mesh smoothing |
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| Authors: | Nikita Kozhekin Vladimir Savchenko Mikhail Senin Ichiro Hagiwara |
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| Affiliation: | (1) Faculty of Engineering, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, 152-8552 Tokyo, Japan;(2) Faculty of Computer and Information Sciences, Hosei University, 3-7-2 Kajino-cho Koganei-shi, 184-8584 Tokyo, Japan;(3) Moscow Institute of Physics and Technology, Kerchenskaya str., house 1 A , building 1, 113-303 Moscow, Russia;(4) Faculty of Engineering, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, 152-8552 Tokyo, Japan |
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| Abstract: | In this paper, we discuss a novel, fast, practical algorithm for surface modification of geometric objects. A space-mapping technique is used to transform a given or damaged part of a surface into a different shape in a continuous manner. The proposed approach is used for surface-retouching and mesh-smoothing problems. The technique, in fact, is based on a local processing of polygonal data that can be applied to the fairing of 3D meshes. We consider shape transformation as a general type of operation for surface modification and attempt to approach the problem from a single point of view, namely, that of the space-mapping technique based on the implementation of radial-basis functions. Experimental results are included to demonstrate the functionality of our mesh-modeling tool. |
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| Keywords: | Radial-basis functions Space mapping Surface retouching Mesh smoothing |
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