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Cited by 319

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Robust Rotation and Translation Estimation in Multiview Reconstruction

Martinec, Daniel, Pajdla, Tomas·2007·2007 IEEE Conference on Computer Vision and Pattern Recognition

Abstract

It is known that the problem of multiview reconstruction can be solved in two steps: first estimate camera rotations and then translations using them. This paper presents new robust techniques for both of these steps. (i) Given pairwise relative rotations, global camera rotations are estimated linearly in least squares. (ii) Camera translations are estimated using a standard technique based on Second Order Cone Programming. Robustness is achieved by using only a subset of points according to a new criterion that diminishes the risk of chosing a mismatch. It is shown that only four points chosen in a special way are sufficient to represent a pairwise reconstruction almost equally as all points. This leads to a significant speedup. In image sets with repetitive or similar structures, non-existent epipolar geometries may be found. Due to them, some rotations and consequently translations may be estimated incorrectly. It is shown that iterative removal of pairwise reconstructions with the largest residual and reregistration removes most non-existent epipolar geometries. The performance of the proposed method is demonstrated on difficult wide base-line image sets.

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Research works printed but not linked: 19

  1. schaffalitzky, 2002, Multiview matching for unordered image sets, or, "how do i organize my holiday snaps?, ECCV
  2. 10.1109/TPAMI.2004.17 · DOI · Paper page
  3. martinec, 2006, 3D reconstruction by gluing pairwise Euclidean reconstructions, or "how to achieve a good reconstruction from bad images, 3DPVT
  4. 10.1109/ICPR.2002.1047471 · DOI
  5. 10.1109/CVPR.2000.854872 · doi:10.1109/cvpr.2000.854872
  6. 10.1109/CVPR.2005.12 · doi:10.1109/cvpr.2005.12
  7. sim, 2006, Recovering camera motion using L ?, minimization, CVPR, 1, 1230
  8. 10.1145/1141911.1141964 · DOI · Paper page
  9. 10.1109/CVPR.2005.36 · DOI
  10. sturm, 1996, A factorization based algorithm for multi-image projective structure and motion, ECCV96, 2, 709
  11. 10.1007/BF00129684 · DOI · Paper page
  12. uyttendaele, 2004, High-quality image-based interactive exploration of real-world environments, CG&A, 24, 52
  13. brand, 2002, Incremental singular value decomposition of uncertain data with missing values, ECCV
  14. 10.1109/3DPVT.2006.141 · DOI · Paper page
  15. cornelius, 2004, Towards complete free-form reconstruction of complex 3D scenes from an unordered set of uncalibrated images, SMVP/ECCV, lncs 3247, 1
  16. 10.1109/CVPR.2005.354 · DOI · Paper page
  17. c?ech, 2007, Efficient sampling of disparity space for fast and accurate matching, BenCOS Workshop CVPR
  18. 10.1109/CVPR.1997.609321 · doi:10.1109/cvpr.1997.609321
  19. 10.1364/JOSAA.4.000629 · DOI · Paper page

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Metadata

Authors
Martinec, D., & Pajdla, T.
Venue
2007 IEEE Conference on Computer Vision and Pattern Recognition
Publisher
IEEE
Published
2007-06
Pages
1-8
ISSN
1063-6919 (ISSN-L)
OpenAlex
W2171244244
Cited by
319
References
3
FWCI
13.14
Type
conference paper
Language
en
Open access
closed

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CoChat. (2026). Citation check: Robust Rotation and Translation Estimation in Multiview Reconstruction. https://app.cochat.ai/papers/10.1109/cvpr.2007.383115
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Martinec, D., & Pajdla, T. (2007). Robust Rotation and Translation Estimation in Multiview Reconstruction. 2007 IEEE Conference on Computer Vision and Pattern Recognition. https://doi.org/10.1109/cvpr.2007.383115

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