Issue No. 02 - February (2009 vol. 31)
Bruce A. Draper , Colorado State University, Fort Collins
Michael Kirby , Colorado State University, Fort Collins
Holger Kley , Colorado State University, Fort Collins
J. Ross Beveridge , Colorado State University, Fort Collins
Chris Peterson , Colorado State University, Fort Collins
Jen-Mei Chang , Colorado State University, Fort Collins
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.
Face recognition, illumination subspaces, principal angle, set--to--set classification.
Bruce A. Draper, Michael Kirby, Holger Kley, J. Ross Beveridge, Chris Peterson, Jen-Mei Chang, "Principal Angles Separate Subject Illumination Spaces in YDB and CMU-PIE", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 31, no. , pp. 351-363, February 2009, doi:10.1109/TPAMI.2008.200