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Rigidity preserving...
Rigidity preserving image transformations and equivariance in perspective
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- Brynte, Lucas, 1990 (author)
- Chalmers University of Technology, Department of Electrical Engineering, Gothenburg, Sweden,Chalmers tekniska högskola
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- Bökman, Georg, 1994 (author)
- Chalmers University of Technology, Department of Electrical Engineering, Gothenburg, Sweden,Chalmers tekniska högskola
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- Flinth, Axel (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå University
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- Kahl, Fredrik, 1972 (author)
- Chalmers University of Technology, Department of Electrical Engineering, Gothenburg, Sweden,Chalmers tekniska högskola
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(creator_code:org_t)
- Cham : Springer Nature, 2023
- 2023
- English.
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In: Image analysis. - Cham : Springer Nature. - 9783031314384 - 9783031314377 ; 13886 LNCS, s. 59-76
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- We characterize the class of image plane transformations which realize rigid camera motions and call these transformations ‘rigidity preserving’. It turns out that the only rigidity preserving image transformations are homographies corresponding to rotating the camera. In particular, 2D translations of pinhole images are not rigidity preserving. Hence, when using CNNs for 3D inference tasks, it can be beneficial to modify the inductive bias from equivariance w.r.t. translations to equivariance w.r.t. rotational homographies. We investigate how equivariance with respect to rotational homographies can be approximated in CNNs, and test our ideas on 6D object pose estimation. Experimentally, we improve on a competitive baseline.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datorseende och robotik (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Vision and Robotics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
Keyword
- Pinhole camera model
- deep learning
- equivariance
Publication and Content Type
- ref (subject category)
- kon (subject category)
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