A Theory of Photometric Stereo for a General Class of Reflectance Maps

Abstract

The authors present the main results of a theory of photometric stereo for non-Lambertian surfaces. First, they propose a class of reflectance maps that can be used for a realistic representation of real-world reflection. Second, they ask how many light sources are needed for inverting this class of reflectance maps. It is shown that three light sources are sufficient for a globally unique inversion for the entire class of reflectance maps. Finally, the authors address the issue of completeness of reconstruction. They show that if k lights are sufficient for a globally unique inversion, 2k lights are necessary for a complete inversion.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Cite

Text

Tagare and deFigueiredo. "A Theory of Photometric Stereo for a General Class of Reflectance Maps." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1989. doi:10.1109/CVPR.1989.37826

Markdown

[Tagare and deFigueiredo. "A Theory of Photometric Stereo for a General Class of Reflectance Maps." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1989.](https://mlanthology.org/cvpr/1989/tagare1989cvpr-theory/) doi:10.1109/CVPR.1989.37826

BibTeX

@inproceedings{tagare1989cvpr-theory,
  title     = {{A Theory of Photometric Stereo for a General Class of Reflectance Maps}},
  author    = {Tagare, Hemant D. and deFigueiredo, Rui J. P.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1989},
  pages     = {38-45},
  doi       = {10.1109/CVPR.1989.37826},
  url       = {https://mlanthology.org/cvpr/1989/tagare1989cvpr-theory/}
}