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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. Ugail, Hassan
Shen, Q.
Sheng, Y.
Chen, C.
Zhang, G.
Ugail, Hassan
Publication Date
2017
End of Embargo
Supervisor
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© 2017 Springer Berlin Heidelberg. Full-text reproduced in accordance
with the publisher’s self-archiving policy.
Peer-Reviewed
Yes
Open Access status
openAccess
Accepted for publication
2017-08
Institution
Department
Awarded
Embargo end date
Abstract
The development of the patchwise Partial
Di erential 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 rst
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 coe cients of its PDE spectral solution. Since low-
frequency components contribute more to the recon-
structed 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 (2017) A PDE Patch-based Spectral Method for Progressive Mesh
Compression and Mesh Denoising. The Visual Computer. Accepted for publication.
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Type
Article