DeltaConv: Anisotropic Geometric Deep Learning with Exterior Calculus. (arXiv:2111.08799v4 [cs.CV] UPDATED)

Learning from 3D point-cloud data has rapidly gained momentum, motivated by
the success of deep learning on images and the increased availability of 3D
data. In this paper, we aim to construct anisotropic convolutions that work
directly on the surface derived from a point cloud. This is challenging because
of the lack of a global coordinate system for tangential directions on
surfaces. We introduce a new convolution operator called DeltaConv, which
combines geometric operators from exterior calculus to enable the …

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