Title :
A theory of photometric stereo for a class of diffuse non-Lambertian surfaces
Author :
Tagare, Hemant D. ; DeFigueiredo, Rui J P
Author_Institution :
Dept. of Diagnostic Radiol., Yale Univ., New Haven, CT, USA
fDate :
2/1/1991 12:00:00 AM
Abstract :
A theory of photometric stereo is proposed for a large class of non-Lambertian reflectance maps. The authors review the different reflectance maps proposed in the literature for modeling reflection from real-world surfaces. From this, they obtain a mathematical class of reflectance maps to which the maps belong. They show that three lights can be sufficient for a unique inversion of the photometric stereo equation for the entire class of reflectance maps. They also obtain a constraint on the positions of light sources for obtaining this solution. They investigate the sufficiency of three light sources to estimate the surface normal and the illuminant strength. The issue of completeness of reconstruction is addressed. They show that if k lights are sufficient for a unique inversion, 2k lights are necessary for a complete inversion
Keywords :
computer vision; reflectivity; computer vision; diffuse nonLambertian surfaces; light sources; machine vision; photometric stereo; real-world surfaces; reflectance maps; reflection; Equations; Light sources; Lighting; Optical reflection; Photometry; Reflectivity; Rough surfaces; Stereo image processing; Surface reconstruction; Surface roughness;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on