ML Anthology

Inverse-Polar Ray Projection for Recovering Projective Transformations

Yun Zhang, Henry Chu
CVPR 2008
doi:10.1109/CVPR.2008.4587698 /cvpr/2008/zhang2008cvpr-inverse/

Abstract

A ray projection in the inverse-polar space is proposed for recovering a projective transformation between two segmented images. The images are converted from their original Cartesian space to the inverse-polar space. Then, the two ray projections—one shift-invariant and the other shift-sensitive—of the inverse-polar images are computed to create two sets of data. Based on the obtained projection data, a two-step strategy is employed to recover the projective transformation. In the first step, the shift-invariant data are used to recover the four affine parameters. In the second step, the shift-sensitive data are used to recover the two projective parameters. The remaining two translation-related parameters are recovered in, e.g., an exhaustive search combined with the two-step recovery strategy. The proposed approach has been tested successfully to recover a variety of projective transformations between real images.

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Cite

Text

Zhang and Chu. "Inverse-Polar Ray Projection for Recovering Projective Transformations." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2008. doi:10.1109/CVPR.2008.4587698

Markdown

[Zhang and Chu. "Inverse-Polar Ray Projection for Recovering Projective Transformations." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2008.](https://mlanthology.org/cvpr/2008/zhang2008cvpr-inverse/) doi:10.1109/CVPR.2008.4587698

BibTeX

@inproceedings{zhang2008cvpr-inverse,
  title     = {{Inverse-Polar Ray Projection for Recovering Projective Transformations}},
  author    = {Zhang, Yun and Chu, Henry},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2008},
  doi       = {10.1109/CVPR.2008.4587698},
  url       = {https://mlanthology.org/cvpr/2008/zhang2008cvpr-inverse/}
}