Attention-guided reference point shifting for Gaussian-mixture-based partial point set registration

Fuente: arXiv
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Autori principali: Kikkawa, Mizuki, Yatagawa, Tatsuya, Ohtake, Yutaka, Suzuki, Hiromasa
Natura: Preprint
Pubblicazione: 2025
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author Kikkawa, Mizuki
Yatagawa, Tatsuya
Ohtake, Yutaka
Suzuki, Hiromasa
author_facet Kikkawa, Mizuki
Yatagawa, Tatsuya
Ohtake, Yutaka
Suzuki, Hiromasa
contents This study investigates the impact of the invariance of feature vectors for partial-to-partial point set registration under translation and rotation of input point sets, particularly in the realm of techniques based on deep learning and Gaussian mixture models (GMMs). We reveal both theoretical and practical problems associated with such deep-learning-based registration methods using GMMs, with a particular focus on the limitations of DeepGMR, a pioneering study in this line, to the partial-to-partial point set registration. Our primary goal is to uncover the causes behind such methods and propose a comprehensible solution for that. To address this, we introduce an attention-based reference point shifting (ARPS) layer, which robustly identifies a common reference point of two partial point sets, thereby acquiring transformation-invariant features. The ARPS layer employs a well-studied attention module to find a common reference point rather than the overlap region. Owing to this, it significantly enhances the performance of DeepGMR and its recent variant, UGMMReg. Furthermore, these extension models outperform even prior deep learning methods using attention blocks and Transformer to extract the overlap region or common reference points. We believe these findings provide deeper insights into registration methods using deep learning and GMMs.
format Preprint
id arxiv_https___arxiv_org_abs_2512_02496
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Attention-guided reference point shifting for Gaussian-mixture-based partial point set registration
Kikkawa, Mizuki
Yatagawa, Tatsuya
Ohtake, Yutaka
Suzuki, Hiromasa
Computer Vision and Pattern Recognition
Graphics
I.3.5; I.4.5
This study investigates the impact of the invariance of feature vectors for partial-to-partial point set registration under translation and rotation of input point sets, particularly in the realm of techniques based on deep learning and Gaussian mixture models (GMMs). We reveal both theoretical and practical problems associated with such deep-learning-based registration methods using GMMs, with a particular focus on the limitations of DeepGMR, a pioneering study in this line, to the partial-to-partial point set registration. Our primary goal is to uncover the causes behind such methods and propose a comprehensible solution for that. To address this, we introduce an attention-based reference point shifting (ARPS) layer, which robustly identifies a common reference point of two partial point sets, thereby acquiring transformation-invariant features. The ARPS layer employs a well-studied attention module to find a common reference point rather than the overlap region. Owing to this, it significantly enhances the performance of DeepGMR and its recent variant, UGMMReg. Furthermore, these extension models outperform even prior deep learning methods using attention blocks and Transformer to extract the overlap region or common reference points. We believe these findings provide deeper insights into registration methods using deep learning and GMMs.
title Attention-guided reference point shifting for Gaussian-mixture-based partial point set registration
topic Computer Vision and Pattern Recognition
Graphics
I.3.5; I.4.5
url https://arxiv.org/abs/2512.02496