A Curvature Based Descriptor Invariant to Pose and Albedo Derived from Photometric Data

Angelopoulou, Elli; Williams, James P.; Wolff, Lawrence B.

doi:10.1109/CVPR.1997.609315

A Curvature Based Descriptor Invariant to Pose and Albedo Derived from Photometric Data

Elli Angelopoulou, James P. Williams, Lawrence B. Wolff

CVPR 1997 pp. 165-171

doi:10.1109/CVPR.1997.609315 /cvpr/1997/angelopoulou1997cvpr-curvature/

Abstract

Gaussian curvature is an invariant local descriptor of smooth surfaces. We present an object signature which is a condensed representation of the distribution of Gaussian curvature information at visible object points. An invariant related to Gaussian curvature at a point is derived from the covariance matrix of the photometric values in a neighborhood about that point. In addition, we introduce an albedo-normalization method that is capable of cancelling albedo on Lambertian surfaces. We use three illumination conditions, two of which are unknown. The three-tuple of intensity values at a point is related via a one-to-one mapping to the surface normal at that point. The determinant of the covariance matrix of the local three-tuples is invariant to albedo, rotation and translation. The collection of determinants over mutually illuminated object points is combined into a signature distribution which is albedo, rotation, translation, and scale invariant. An object recognition methodology using these signatures is proposed.

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Cite

Text

Angelopoulou et al. "A Curvature Based Descriptor Invariant to Pose and Albedo Derived from Photometric Data." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1997. doi:10.1109/CVPR.1997.609315

Markdown

[Angelopoulou et al. "A Curvature Based Descriptor Invariant to Pose and Albedo Derived from Photometric Data." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1997.](https://mlanthology.org/cvpr/1997/angelopoulou1997cvpr-curvature/) doi:10.1109/CVPR.1997.609315

BibTeX

@inproceedings{angelopoulou1997cvpr-curvature,
  title     = {{A Curvature Based Descriptor Invariant to Pose and Albedo Derived from Photometric Data}},
  author    = {Angelopoulou, Elli and Williams, James P. and Wolff, Lawrence B.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1997},
  pages     = {165-171},
  doi       = {10.1109/CVPR.1997.609315},
  url       = {https://mlanthology.org/cvpr/1997/angelopoulou1997cvpr-curvature/}
}