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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 29, Iss. 4 — Apr. 1, 2012
  • pp: 627–636

Photometric stereo applied to diffuse surfaces that violate Lambert’s law

G. McGunnigle, Junyu Dong, and Xuefang Wang  »View Author Affiliations


JOSA A, Vol. 29, Issue 4, pp. 627-636 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000627


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Abstract

This paper investigates the use of photometric stereo (PS) with reflectance functions that are diffuse but not Lambertian. We show that, for the special case where light sources are arranged at 90° intervals around the optical axis, standard PS is not limited to Lambertian surfaces, and we define criteria for its use. A series of rough test surfaces are used as models for surface microstructure—we found that the Oren Nayar (ON) reflectance model accurately predicted the surfaces’ reflectance functions. The ON model does not meet our theoretical criteria for using PS, but PS performs well in simulations if the microroughness is moderate (rms slope <0.3). When PS was applied to real surfaces, the estimated and actual slopes were highly correlated, but there were significant errors in the slope estimates for the rougher samples.

© 2012 Optical Society of America

OCIS Codes
(150.0150) Machine vision : Machine vision
(150.3040) Machine vision : Industrial inspection
(150.2945) Machine vision : Illumination design

ToC Category:
Machine Vision

History
Original Manuscript: July 26, 2011
Revised Manuscript: November 19, 2011
Manuscript Accepted: December 11, 2011
Published: March 30, 2012

Citation
G. McGunnigle, Junyu Dong, and Xuefang Wang, "Photometric stereo applied to diffuse surfaces that violate Lambert’s law," J. Opt. Soc. Am. A 29, 627-636 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-4-627


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References

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