Self-supervised Shape Completion via Involution and Implicit Correspondences

Fuente: arXiv
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Main Authors: Liu, Mengya, Chhatkuli, Ajad, Postels, Janis, Van Gool, Luc, Tombari, Federico
Format: Preprint
Published: 2024
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_version_ 1866916408799002624
author Liu, Mengya
Chhatkuli, Ajad
Postels, Janis
Van Gool, Luc
Tombari, Federico
author_facet Liu, Mengya
Chhatkuli, Ajad
Postels, Janis
Van Gool, Luc
Tombari, Federico
contents 3D shape completion is traditionally solved using supervised training or by distribution learning on complete shape examples. Recently self-supervised learning approaches that do not require any complete 3D shape examples have gained more interests. In this paper, we propose a non-adversarial self-supervised approach for the shape completion task. Our first finding is that completion problems can be formulated as an involutory function trivially, which implies a special constraint on the completion function G, such that G(G(X)) = X. Our second constraint on self-supervised shape completion relies on the fact that shape completion becomes easier to solve with correspondences and similarly, completion can simplify the correspondences problem. We formulate a consistency measure in the canonical space in order to supervise the completion function. We efficiently optimize the completion and correspondence modules using "freeze and alternate" strategy. The overall approach performs well for rigid shapes in a category as well as dynamic non-rigid shapes. We ablate our design choices and compare our solution against state-of-the-art methods, showing remarkable accuracy approaching supervised accuracy in some cases.
format Preprint
id arxiv_https___arxiv_org_abs_2409_15939
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Self-supervised Shape Completion via Involution and Implicit Correspondences
Liu, Mengya
Chhatkuli, Ajad
Postels, Janis
Van Gool, Luc
Tombari, Federico
Computer Vision and Pattern Recognition
3D shape completion is traditionally solved using supervised training or by distribution learning on complete shape examples. Recently self-supervised learning approaches that do not require any complete 3D shape examples have gained more interests. In this paper, we propose a non-adversarial self-supervised approach for the shape completion task. Our first finding is that completion problems can be formulated as an involutory function trivially, which implies a special constraint on the completion function G, such that G(G(X)) = X. Our second constraint on self-supervised shape completion relies on the fact that shape completion becomes easier to solve with correspondences and similarly, completion can simplify the correspondences problem. We formulate a consistency measure in the canonical space in order to supervise the completion function. We efficiently optimize the completion and correspondence modules using "freeze and alternate" strategy. The overall approach performs well for rigid shapes in a category as well as dynamic non-rigid shapes. We ablate our design choices and compare our solution against state-of-the-art methods, showing remarkable accuracy approaching supervised accuracy in some cases.
title Self-supervised Shape Completion via Involution and Implicit Correspondences
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2409.15939