Decomposing Three Fundamental Matrices for Initializing 3-D Reconstruction from Three Views
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- Kanazawa Yasushi
- Department of Computer Science and Engineering, Toyohashi University of Technology
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- Sugaya Yasuyuki
- Department of Computer Science and Engineering, Toyohashi University of Technology
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- Kanatani Kenichi
- Okayama University
抄録
This paper focuses on initializing 3-D reconstruction from scratch without any prior scene information. Traditionally, this has been done from two-view matching, which is prone to the degeneracy called “imaginary focal lengths.” We overcome this difficulty by using three images, but we do not require three-view matching; all we need is three fundamental matrices separately computed from pair-wise image matching. We exploit the redundancy of the three fundamental matrices to optimize the camera parameters and the 3-D structure. The main theme of this paper is to give an analytical procedure for computing the positions and orientations of the three cameras and their internal parameters from three fundamental matrices. The emphasis is on resolving the ambiguity of the solution resulting from the sign indeterminacy of the fundamental matrices. We do numerical simulation to show that imaginary focal lengths are less likely for our three view methods, resulting in higher accuracy than the conventional two-view method. We also test the degeneracy tolerance capability of our method by using endoscopic intestine tract images, for which the camera configuration is almost always nearly degenerate. We demonstrate that our method allows us to obtain more detailed intestine structures than two-view reconstruction and observe how our three-view reconstruction is refined by bundle adjustment. Our method is expected to broaden medical applications of endoscopic images.
収録刊行物
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- IPSJ Transactions on Computer Vision and Applications
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IPSJ Transactions on Computer Vision and Applications 6 (0), 120-131, 2014
一般社団法人 情報処理学会
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詳細情報 詳細情報について
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- CRID
- 1390001205294149760
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- NII論文ID
- 130004713755
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- ISSN
- 18826695
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
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- 抄録ライセンスフラグ
- 使用不可