Papers › Deep Orientation-Aware Functional Maps: Tackling Symmetry Issues in Shape Matching

Deep Orientation-Aware Functional Maps: Tackling Symmetry Issues in Shape Matching

28 Apr 2022CVPR 2022 1arXiv:2204.13453archive 2025-07-28

Nicolas Donati, Etienne Corman, Maks Ovsjanikov

State-of-the-art fully intrinsic networks for non-rigid shape matching often struggle to disambiguate the symmetries of the shapes leading to unstable correspondence predictions. Meanwhile, recent advances in the functional map framework allow to enforce orientation preservation using a functional representation for tangent vector field transfer, through so-called complex functional maps. Using this representation, we propose a new deep learning approach to learn orientation-aware features in a fully unsupervised setting. Our architecture is built on top of DiffusionNet, making it robust to discretization changes. Additionally, we introduce a vector field-based loss, which promotes orientation preservation without using (often unstable) extrinsic descriptors.

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