D. Slater et G. Healey, MODELING THE SENSITIVITY OF MOMENT INVARIANTS IN A RECOGNITION SYSTEM, Journal of the Optical Society of America. A, Optics, image science,and vision., 15(5), 1998, pp. 1068-1076
We derive a sensitivity analysis for moment invariants of multidimensi
onal distributions. These invariants have many uses in computational s
ystems and have recently been used for illumination-invariant recognit
ion in color images. In this contest, the sensitivity analysis predict
s the response of moment invariants to partial occlusion. Using the re
sults of the sensitivity analysis, we develop a novel surface represen
tation called the invariant profile, which captures color distribution
and spatial information while remaining invariant to the spectral con
tent of the scene illumination. Unlike for previous representations, t
he recognition of invariant profiles does not require illumination cor
rection. Ne demonstrate the sensitivity analysis and the use of invari
ant profiles for recognition with a set of experiments on color images
. (C) 1998 Optical Society of America.