ML Anthology

Homotopy-Based Computation of Defocus Blur and Affine Transform

François Deschênes, Djemel Ziou
CVPR 2003 pp. 398-404
doi:10.1109/CVPR.2003.1211381 /cvpr/2003/deschenes2003cvpr-homotopy/

Abstract

This paper presents a homotopy-based algorithm for simultaneous recovery of defocus blur and the affine transformation between two images of the same scene. One of the images (and its partial derivatives) is expressed as a function of the second image, partial derivatives of the two images, blur difference, affine parameters and a continuous parameter derived from homotopy methods. All of these unknowns can thus be directly computed by resolving a system of equations. The proposed algorithm is tested using synthetic and real images. The results confirm that dense and accurate estimation can be obtained.

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Cite

Text

Deschênes and Ziou. "Homotopy-Based Computation of Defocus Blur and Affine Transform." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2003. doi:10.1109/CVPR.2003.1211381

Markdown

[Deschênes and Ziou. "Homotopy-Based Computation of Defocus Blur and Affine Transform." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2003.](https://mlanthology.org/cvpr/2003/deschenes2003cvpr-homotopy/) doi:10.1109/CVPR.2003.1211381

BibTeX

@inproceedings{deschenes2003cvpr-homotopy,
  title     = {{Homotopy-Based Computation of Defocus Blur and Affine Transform}},
  author    = {Deschênes, François and Ziou, Djemel},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2003},
  pages     = {398-404},
  doi       = {10.1109/CVPR.2003.1211381},
  url       = {https://mlanthology.org/cvpr/2003/deschenes2003cvpr-homotopy/}
}