ML Anthology

Affine 3-D Reconstruction from Two Projective Images of Independently Translating Planes

Lior Wolf, Amnon Shashua
ICCV 2001 pp. 238-244
doi:10.1109/ICCV.2001.937630 /iccv/2001/wolf2001iccv-affine/

Abstract

Consider two views of a multi-body scene consisting of k planar bodies moving in pure translation one relative to the other. We show that the fundamental matrices, one per body, live in a 3-dimensional subspace, which when represented as a step-3 extensor is the common transversal on the collection of extensors defined by the homograph matrices H/sub 1/,...,H/sub k/ of the moving planes. We show that as much as five bodies are necessary for recovering the common transversal from the homograph matrices, from which we show how to recover the fundamental matrices and the affine calibration between the two cameras.

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Cite

Text

Wolf and Shashua. "Affine 3-D Reconstruction from Two Projective Images of Independently Translating Planes." IEEE/CVF International Conference on Computer Vision, 2001. doi:10.1109/ICCV.2001.937630

Markdown

[Wolf and Shashua. "Affine 3-D Reconstruction from Two Projective Images of Independently Translating Planes." IEEE/CVF International Conference on Computer Vision, 2001.](https://mlanthology.org/iccv/2001/wolf2001iccv-affine/) doi:10.1109/ICCV.2001.937630

BibTeX

@inproceedings{wolf2001iccv-affine,
  title     = {{Affine 3-D Reconstruction from Two Projective Images of Independently Translating Planes}},
  author    = {Wolf, Lior and Shashua, Amnon},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  year      = {2001},
  pages     = {238-244},
  doi       = {10.1109/ICCV.2001.937630},
  url       = {https://mlanthology.org/iccv/2001/wolf2001iccv-affine/}
}