A Closed-Form Solution to Uncalibrated Photometric Stereo via Diffuse Maxima
Abstract
In this paper we propose a novel solution to uncalibrated photometric stereo. Our approach is to eliminate the so-called generalized bas relief (GBR) ambiguity by exploiting points where the Lambertian reflection is maximal. We demonstrate several noteworthy properties of these maxima: 1) Closed-form solution: A single diffuse maximum constrains the GBR ambiguity to a semi-circle in 3D space; 2) Efficiency: As few as two diffuse maxima in different images identify a unique solution; 3) GBR-invariance: The estimation error of the GBR parameters is completely independent of the true parameters. Furthermore, our algorithm is remarkably robust: It can obtain an accurate estimate of the GBR parameters even with extremely high levels of outliers in the detected maxima (up to 80% of the observations). The method is validated on real data and achieves state-of-the-art results.
Cite
Text
Favaro and Papadhimitri. "A Closed-Form Solution to Uncalibrated Photometric Stereo via Diffuse Maxima." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2012. doi:10.1109/CVPR.2012.6247754Markdown
[Favaro and Papadhimitri. "A Closed-Form Solution to Uncalibrated Photometric Stereo via Diffuse Maxima." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2012.](https://mlanthology.org/cvpr/2012/favaro2012cvpr-closed/) doi:10.1109/CVPR.2012.6247754BibTeX
@inproceedings{favaro2012cvpr-closed,
title = {{A Closed-Form Solution to Uncalibrated Photometric Stereo via Diffuse Maxima}},
author = {Favaro, Paolo and Papadhimitri, Thoma},
booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
year = {2012},
pages = {821-828},
doi = {10.1109/CVPR.2012.6247754},
url = {https://mlanthology.org/cvpr/2012/favaro2012cvpr-closed/}
}