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Paper · 2111.15341 · 2021

ZZ-Net: A Universal Rotation Equivariant Architecture for 2D Point Clouds

arXiv · PDF · Open in the Atlas

Code that ran

We lifted 1 functions out of this paper's own repositories and ran 1 of them in a sandbox. "Ran" means the function executed on a synthesized input and returned a value. It is not a reproduction of the paper's results.

RepositoryRoleRan
georg-bn/zz-net canonical 1 of 1
FunctionStatusWhere it lives
create_loaders Ran georg-bn/zz-net/rotation_estimation_experiments/ZZNet.py
code served (permissive licence) · get_code("f99e5f3875af4ff0")

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Abstract

In this paper, we are concerned with rotation equivariance on 2D point cloud data. We describe a particular set of functions able to approximate any continuous rotation equivariant and permutation invariant function. Based on this result, we propose a novel neural network architecture for processing 2D point clouds and we prove its universality for approximating functions exhibiting these symmetries. We also show how to extend the architecture to accept a set of 2D-2D correspondences as indata, while maintaining similar equivariance properties. Experiments are presented on the estimation of essential matrices in stereo vision.

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