Shen, Q.Sheng, Y.Chen, C.Zhang, G.Ugail, Hassan2017-09-062017-09-062017Shen 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.http://hdl.handle.net/10454/13081YesThe 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.en© 2017 Springer Berlin Heidelberg. Full-text reproduced in accordance with the publisher’s self-archiving policy.Spectral methodMesh processingPatchwise PDEProgressive mesh compressionMesh denoisingArticlehttps://doi.org/10.1007/s0037Unspecified