Deep Geometric Functional Maps: Robust Feature Learning for Shape Correspondence

Nicolas Donati, Abhishek Sharma, Maks Ovsjanikov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

48 Scopus citations


We present a novel learning-based approach for computing correspondences between non-rigid 3D shapes. Unlike previous methods that either require extensive training data or operate on handcrafted input descriptors and thus generalize poorly across diverse datasets, our approach is both accurate and robust to changes in shape structure. Key to our method is a feature-extraction network that learns directly from raw shape geometry, combined with a novel regularized map extraction layer and loss, based on the functional map representation. We demonstrate through extensive experiments in challenging shape matching scenarios that our method can learn from less training data than existing supervised approaches and generalizes significantly better than current descriptor-based learning methods. Our source code is available at:
Original languageEnglish (US)
Title of host publication2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)
ISBN (Print)9781728171685
StatePublished - Aug 5 2020
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): CRG-2017-3426
Acknowledgements: This work was supported by KAUST OSR Award No. CRG-2017-3426, a gift from Nvidia and the ERC Starting Grant No. 758800 (EXPROTEA).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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