Quaternion Equivariant Capsule Networks for 3D Point Clouds

ECCV 2020 Yongheng ZhaoTolga BirdalJan Eric LenssenEmanuele MenegattiLeonidas GuibasFederico Tombari

We present a 3D capsule module for processing point clouds that is equivariant to 3D rotations and translations, as well as invariant to permutations of the input points. The operator receives a sparse set of local reference frames, computed from an input point cloud and establishes end-to-end transformation equivariance through a novel dynamic routing procedure on quaternions... (read more)

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