A New Perspective [on] Shape-from-Shading

Authors:
Ariel Tankus;Nir Sochen;Yehezkel Yeshurun
Affiliations:
-;-;-
Venue:
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Year:
2003

Citing 0
Cited 18

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Shape from shading for the digitization of curved documents

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Numerical methods for shape-from-shading: A new survey with benchmarks

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Some remarks on perspective shape-from-shading models

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Using the orthographic projection model to approximate the perspective projection model for 3D facial reconstruction

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Spherical surface parameterization for perspective shape from shading

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Fast marching method for generic shape from shading

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Perspective Shape from Shading: Ambiguity Analysis and Numerical Approximations

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Two-Image perspective photometric stereo using shape-from-shading

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Abstract

Shape-from-Shading (SfS) is a fundamental problem inComputer Vision. The vast majority of research in this fieldhave assumed orthography as its projection model. Thispaper re-examines the basis of SfS, the image irradianceequation, under an assumption of perspective projection.The paper also shows that the perspective image irradianceequation depends merely on the natural logarithm of thedepth function (and not on the depth function itself), and assuch it is invariant to scale changes of the depth function.We then suggest a simple reconstruction algorithm basedon the perspective formula, and compare it to existing orthographicSfS algorithms. This simple algorithm obtainedlower error rates than legacy SfS algorithms, and equatedwith and sometimes surpassed state-of-the-art algorithms.These findings lend support to the assumption that transitionto a more realistic set of assumptions improves reconstructionsignificantly.