Description: In this paper we propose a novel solution to uncalibrated
photometric stereo. Our approach is to eliminate the socalled
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.
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A Closed-Form Solution to Uncalibrated Photometric Stereo via Diffuse Maxima .pdf
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