Title
Principal Angles Separate Subject Illumination Spaces in YDB and CMU-PIE
Abstract
The theory of illumination subspaces is well developed and has been tested extensively on the Yale Face Database B (YDB) and CMU-PIE (PIE) data sets. This paper shows that if face recognition under varying illumination is cast as a problem of matching sets of images to sets of images, then the minimal principal angle between subspaces is sufficient to perfectly separate matching pairs of image sets from nonmatching pairs of image sets sampled from YDB and PIE. This is true even for subspaces estimated from as few as six images and when one of the subspaces is estimated from as few as three images if the second subspace is estimated from a larger set (10 or more). This suggests that variation under illumination may be thought of as useful discriminating information rather than unwanted noise.
Year
DOI
Venue
2009
10.1109/TPAMI.2008.200
IEEE Trans. Pattern Anal. Mach. Intell.
Keywords
Field
DocType
gesture recognition,testing,lighting,principal angle,solids,face recognition,computer vision
Facial recognition system,Computer vision,Data set,Pattern recognition,Subspace topology,Principal angles,Computer science,Image matching,Linear subspace,Artificial intelligence
Journal
Volume
Issue
ISSN
31
2
0162-8828
Citations 
PageRank 
References 
19
0.71
23
Authors
6
Name
Order
Citations
PageRank
J. Ross Beveridge11716190.52
Bruce A. Draper22001207.57
Jen-Mei Chang3423.26
Michael Kirby413714.40
Holger Kley5301.46
Chris Peterson6191.05