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A PDE Patch-based Spectral Method for Progressive Mesh Compression and Mesh Denoising
Shen, Q. Sheng, Y. Chen, C. Zhang, G.
Shen, Q.
Sheng, Y.
Chen, C.
Zhang, G.
Publication Date
2017
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©2017 Springer Berlin Heidelberg. Full-text reproduced in accordance
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Peer-Reviewed
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openAccess
Accepted for publication
2017-08
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Abstract
The development of the patchwise Partial Differential Equation (PDE) framework a few years a- go has paved the way for the PDE method to be used in mesh signal processing. In this paper we, for the first time, extend the use of the PDE method to progressive mesh compression and mesh denoising. We, meanwhile, upgrade the existing patchwise PDE method in patch merging, mesh partitioning, and boundary extraction to accommodate mesh signal processing. In our new method an arbitrary mesh model is partitioned into patches, each of which can be represented by a small set of coefficients of its PDE spectral solution. Since low- frequency components contribute more to the reconstructed mesh than high-frequency ones, we can achieve progressive mesh compression and mesh denoising by manipulating the frequency terms of the PDE solution.
Experimental results demonstrate the feasibility of our method in both progressive mesh compression and mesh denoising.
Version
Accepted manuscript
Citation
Shen Q, Sheng Y, Chen C et al (2018) A PDE Patch-based Spectral Method for Progressive Mesh Compression and Mesh Denoising. The Visual Computer. 34: 1563-1577.
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Article