ML Anthology

Relative Affine Structure: Theory and Application to 3D Reconstruction from Perspective Views

Amnon Shashua, Nassir Navab
CVPR 1994 pp. 483-489
doi:10.1109/CVPR.1994.323870 /cvpr/1994/shashua1994cvpr-relative/

Abstract

We propose an affine framework for perspective views, captured by a single extremely simple equation based on a viewer-centered invariant we call relative affine structure. Via a number of corollaries of our main results we show that our framework unifies previous work-including Euclidean, projective and affine-in a natural and simple way. Finally, the main results were applied to a real image sequence for purpose of 3D reconstruction from 2D views.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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Cite

Text

Shashua and Navab. "Relative Affine Structure: Theory and Application to 3D Reconstruction from Perspective Views." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1994. doi:10.1109/CVPR.1994.323870

Markdown

[Shashua and Navab. "Relative Affine Structure: Theory and Application to 3D Reconstruction from Perspective Views." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1994.](https://mlanthology.org/cvpr/1994/shashua1994cvpr-relative/) doi:10.1109/CVPR.1994.323870

BibTeX

@inproceedings{shashua1994cvpr-relative,
  title     = {{Relative Affine Structure: Theory and Application to 3D Reconstruction from Perspective Views}},
  author    = {Shashua, Amnon and Navab, Nassir},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1994},
  pages     = {483-489},
  doi       = {10.1109/CVPR.1994.323870},
  url       = {https://mlanthology.org/cvpr/1994/shashua1994cvpr-relative/}
}