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A Wavelet Energy Decomposition Signature for Robust Non-Rigid Shape Matching

Published: 17 November 2019 Publication History

Abstract

We present a novel local shape descriptor, named wavelet energy decomposition signature (WEDS) for robustly matching non-rigid 3D shapes with different resolutions. The local shape descriptors are generated by decomposing Dirichlet energy on the input triangular mesh. Our approach can be either applied directly or used as the input to other learning-based approaches. Experimental results show that the proposed WEDS achieves promising results on shape matching tasks in terms of incompatible shape structures.

References

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Michael M Bronstein, Joan Bruna, Yann LeCun, Arthur Szlam, and Pierre Vandergheynst. 2017. Geometric deep learning: going beyond euclidean data. IEEE Signal Processing Magazine 34, 4 (2017), 18–42.
[2]
David K Hammond, Pierre Vandergheynst, and Rémi Gribonval. 2011. Wavelets on graphs via spectral graph theory. Applied and Computational Harmonic Analysis 30, 2 (2011), 129–150.
[3]
A. E. Johnson and M. Hebert. 1999. Using spin images for efficient object recognition in cluttered 3D scenes. IEEE Trans. on Pattern Analysis and Machine Intelligence 21, 5 (May 1999), 433–449.
[4]
Chunyuan Li and A Ben Hamza. 2013. A multiresolution descriptor for deformable 3D shape retrieval. The Visual Computer 29, 6-8 (2013), 513–524.
[5]
Jian Sun, Maks Ovsjanikov, and Leonidas J. Guibas. 2010. A Concise and Provably Informative Multi-Scale Signature Based on Heat Diffusion. Computer Graphics Forum 28, 5 (2010), 1383–1392.
[6]
Federico Tombari, Samuele Salti, and Luigi Di Stefano. 2010. Unique signatures of histograms for local surface description. In European Conference on Computer Vision (ECCV). Springer, 356–369.
[7]
Yiqun Wang, Jianwei Guo, Dong-Ming Yan, Kai Wang, and Xiaopeng Zhang. 2019. A Robust Local Spectral Descriptor for Matching Non-Rigid Shapes With Incompatible Shape Structures. In The IEEE Conference on Computer Vision and Pattern Recognition (CVPR). 6231–6240.

Cited By

View all
  • (2024)AFSMWD: A Descriptor Flexibly Encoding Multiscale and Oriented Shape FeaturesMathematics10.3390/math1218294612:18(2946)Online publication date: 22-Sep-2024
  • (2024)3D Shape Descriptor Design Based on HKS and Persistent Homology with Stability AnalysisComputer Aided Geometric Design10.1016/j.cagd.2024.102326(102326)Online publication date: Apr-2024
  • (2023)AWEDD: a descriptor simultaneously encoding multiscale extrinsic and intrinsic shape featuresThe Visual Computer10.1007/s00371-023-02935-640:4(2537-2554)Online publication date: 10-Jul-2023

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    Information & Contributors

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    Published In

    cover image ACM Conferences
    SA '19: SIGGRAPH Asia 2019 Posters
    November 2019
    94 pages
    ISBN:9781450369435
    DOI:10.1145/3355056
    Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 17 November 2019

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    Author Tags

    1. Energy Decomposition
    2. Graph Wavelet
    3. Shape Matching

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    • Poster
    • Research
    • Refereed limited

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    SA '19
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    SA '19: SIGGRAPH Asia 2019
    November 17 - 20, 2019
    QLD, Brisbane, Australia

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    Overall Acceptance Rate 178 of 869 submissions, 20%

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    Cited By

    View all
    • (2024)AFSMWD: A Descriptor Flexibly Encoding Multiscale and Oriented Shape FeaturesMathematics10.3390/math1218294612:18(2946)Online publication date: 22-Sep-2024
    • (2024)3D Shape Descriptor Design Based on HKS and Persistent Homology with Stability AnalysisComputer Aided Geometric Design10.1016/j.cagd.2024.102326(102326)Online publication date: Apr-2024
    • (2023)AWEDD: a descriptor simultaneously encoding multiscale extrinsic and intrinsic shape featuresThe Visual Computer10.1007/s00371-023-02935-640:4(2537-2554)Online publication date: 10-Jul-2023

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