NDLI: Lambertian reflectance and linear subspaces

Content Provider	IEEE Xplore Digital Library
Author	Basri, R. Jacobs, D.
Copyright Year	2001
Description	Author affiliation: Dept. of Comput. Sci., Weizmann Inst. of Sci., Rehovot, Israel (Basri, R.)
Abstract	We prove that the set of all reflectance functions (the mapping from surface normals to intensities) produced by Lambertian objects under distant, isotropic lighting lies close to a 9D linear subspace. This implies that the images of a convex Lambertian object obtained under a wide variety of lighting conditions can be approximated accurately with a low-dimensional linear subspace, explaining prior empirical results. We also provide a simple analytic characterization of this linear space. We obtain these results by representing lighting using spherical harmonics and describing the effects of Lambertian materials as the analog of a convolution. These results allow us to construct algorithms for object recognition based on linear methods as well as algorithms that use convex optimization to enforce non-negative lighting functions.
Sponsorship	IEEE Comput. Soc. Tech. Committee on Pattern Anal. & Machine Intelligence
Starting Page	383
Ending Page	390
File Size	913638
Page Count	8
File Format	PDF
ISBN	0769511430
DOI	10.1109/ICCV.2001.937651
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-07-07
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Reflectivity National electric code Convolution Object recognition Algorithm design and analysis Power harmonic filters Kernel Jacobian matrices Computer science Optimization methods
Content Type	Text
Resource Type	Article

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