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Hypergeometric Filters for Optical Flow and Affine Matching

Yalin Xiong, Steven A. Shafer
ICCV 1995 pp. 771-776
doi:10.1109/ICCV.1995.466860 /iccv/1995/xiong1995iccv-hypergeometric/

Abstract

This paper proposes new "hypergeometric" filters for the problem of image matching under the translational and affine model. This new set of filters has the following advantages: (1) High-precision registration of two images under the translational and affine model. Because the window effects are eliminated, we are able to achieve superb performance in both translational and affine matching. (2) Affine matching without exhaustive search or image warping. Due to the recursiveness of the filters in the spatial domain, we are able to analytically express the relation between filter outputs and the six affine parameters. This analytical relation enables us to directly compute these affine parameters. (3) Generality. The approach we demonstrate here can be applied to a broad class of matching problems, as long as the transformation between the two image patches can be mathematically represented in the frequency domain.< <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

Xiong and Shafer. "Hypergeometric Filters for Optical Flow and Affine Matching." IEEE/CVF International Conference on Computer Vision, 1995. doi:10.1109/ICCV.1995.466860

Markdown

[Xiong and Shafer. "Hypergeometric Filters for Optical Flow and Affine Matching." IEEE/CVF International Conference on Computer Vision, 1995.](https://mlanthology.org/iccv/1995/xiong1995iccv-hypergeometric/) doi:10.1109/ICCV.1995.466860

BibTeX

@inproceedings{xiong1995iccv-hypergeometric,
  title     = {{Hypergeometric Filters for Optical Flow and Affine Matching}},
  author    = {Xiong, Yalin and Shafer, Steven A.},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  year      = {1995},
  pages     = {771-776},
  doi       = {10.1109/ICCV.1995.466860},
  url       = {https://mlanthology.org/iccv/1995/xiong1995iccv-hypergeometric/}
}