ML Anthology

A Geometric Theory of Symmetric Registration

Hemant D. Tagare, David Groisser, Oskar M. Skrinjar
CVPRW 2006 pp. 73
doi:10.1109/CVPRW.2006.16 /cvprw/2006/tagare2006cvprw-geometric/

Abstract

This paper shows that asymmetry (inverse inconsistency) in L2 and information theoretic (IT) registration objective functions is the result of using standard volume differential forms. A new space with non-standard volume differential forms is identified, and a unique symmetrizing volume differential form is found in it. This form simultaneously symmetrizes the L2 and the IT registration functions. Experimental results supporting the mathematical theory are provided.

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Cite

Text

Tagare et al. "A Geometric Theory of Symmetric Registration." IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops, 2006. doi:10.1109/CVPRW.2006.16

Markdown

[Tagare et al. "A Geometric Theory of Symmetric Registration." IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops, 2006.](https://mlanthology.org/cvprw/2006/tagare2006cvprw-geometric/) doi:10.1109/CVPRW.2006.16

BibTeX

@inproceedings{tagare2006cvprw-geometric,
  title     = {{A Geometric Theory of Symmetric Registration}},
  author    = {Tagare, Hemant D. and Groisser, David and Skrinjar, Oskar M.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops},
  year      = {2006},
  pages     = {73},
  doi       = {10.1109/CVPRW.2006.16},
  url       = {https://mlanthology.org/cvprw/2006/tagare2006cvprw-geometric/}
}