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• W3011182352 abstract "A common approach to define convolutions on meshes is to interpret them as a graph and apply graph convolutional networks (GCNs). Such GCNs utilize isotropic kernels and are therefore insensitive to the relative orientation of vertices and thus to the geometry of the mesh as a whole. We propose Gauge Equivariant Mesh CNNs which generalize GCNs to apply anisotropic gauge equivariant kernels. Since the resulting features carry orientation information, we introduce a geometric message passing scheme defined by parallel transporting features over mesh edges. Our experiments validate the significantly improved expressivity of the proposed model over conventional GCNs and other methods." @default.
• W3011182352 created "2020-03-23" @default.
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• W3011182352 date "2020-03-11" @default.
• W3011182352 modified "2023-09-23" @default.
• W3011182352 title "Gauge Equivariant Mesh CNNs: Anisotropic convolutions on geometric graphs." @default.
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