A new perspective [on] shape-from-shading

Ariel Tankus*, Nir Sochen, Yehezkel Yeshurun

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

Shape-from-Shading (SfS) is a fundamental problem in Computer Vision. The vast majority of research in this field have assumed orthography as its projection model. This paper re-examines the basis of SfS, the image irradiance equation, under an assumption of perspective projection. The paper also shows that the perspective image irradiance equation depends merely on the natural logarithm of the depth function (and not on the depth function itself), and as such it is invariant to scale changes of the depth function. We then suggest a simple reconstruction algorithm based on the perspective formula, and compare it to existing orthographic SfS algorithms. This simple algorithm obtained lower error rates than legacy SfS algorithms, and equated with and sometimes surpassed state-of-the-art algorithms. These findings lend support to the assumption that transition to a more realistic set of assumptions improves reconstruction significantly.

Original languageEnglish
Pages (from-to)862-869
Number of pages8
JournalProceedings of the IEEE International Conference on Computer Vision
Volume2
DOIs
StatePublished - 2003
EventNINTH IEEE INTERNATIONAL CONFERENCE ON COMPUTER VISION - Nice, France
Duration: 13 Oct 200316 Oct 2003

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