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Spectral mesh processing

Authors:

Hao (Richard) ZhangAuthors Info & Claims

SIGGRAPH '10: ACM SIGGRAPH 2010 Courses

Article No.: 8, Pages 1 - 312

https://doi.org/10.1145/1837101.1837109

Published: 26 July 2010 Publication History

Abstract

Spectral mesh processing is an idea that was proposed at the beginning of the 90's, to port the "signal processing toolbox" to the setting of 3D mesh models. Recent advances in both computer horsepower and numerical software make it possible to fully implement this vision. In the more classical context of sound and image processing, Fourier analysis was a corner stone in the development of a wide spectrum of techniques, such as filtering, compression, and recognition. In this course, attendees will learn how to transfer the underlying concepts to the setting of a mesh model, how to implement the "spectral mesh processing" toolbox and use it for real applications, including filtering, shape matching, remeshing, segmentation, and parameterization.

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Cited By

Sundararaman RDonati NMelzi SCorman EOvsjanikov M(2024)Deformation Recovery: Localized Learning for Detail-Preserving DeformationsACM Transactions on Graphics10.1145/368796843:6(1-16)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687968
Feng NCrane K(2024)A Heat Method for Generalized Signed DistanceACM Transactions on Graphics10.1145/365822043:4(1-19)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658220
Dong QWang ZLi MGao JChen SShu ZXin STu CWang W(2024)Laplacian2Mesh: Laplacian-Based Mesh UnderstandingIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2023.325904430:7(4349-4361)Online publication date: Jul-2024
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Index Terms

Spectral mesh processing
1. Hardware
  1. Communication hardware, interfaces and storage
    1. Signal processing systems
2. Mathematics of computing
  1. Mathematical analysis
    1. Numerical analysis
      1. Computation of transforms

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cover image ACM Conferences

SIGGRAPH '10: ACM SIGGRAPH 2010 Courses

July 2010

1132 pages

ISBN:9781450303958

DOI:10.1145/1837101

Conference Chair:
James L. Mohler
Purdue University

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Cited By

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https://dl.acm.org/doi/10.1145/3687968
Feng NCrane K(2024)A Heat Method for Generalized Signed DistanceACM Transactions on Graphics10.1145/365822043:4(1-19)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658220
Dong QWang ZLi MGao JChen SShu ZXin STu CWang W(2024)Laplacian2Mesh: Laplacian-Based Mesh UnderstandingIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2023.325904430:7(4349-4361)Online publication date: Jul-2024
https://doi.org/10.1109/TVCG.2023.3259044
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Raganato APasi GMelzi S(2023)Attention And Positional Encoding Are (Almost) All You Need For Shape MatchingComputer Graphics Forum10.1111/cgf.1491242:5Online publication date: 10-Aug-2023
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