We consider the problem of determining functions of an image of an object that are insensitive to illumination changes. We rst show that for an object with Lambertian r e e ctanc e there are no discriminative functions that are invariant to illumination. This result leads us to adopt a probabilistic appr oachin which we analytically determine a probability distribution for the image gradient as a function of the surfac e'sgeometry and re e ctanc e.Our distribution reveals that the direction of the image gradient is insensitive to changes in illumination direction. We verify this empirically by constructing a distribution for the image gradient from more than 20 million samples of gradients in a datab aseof 1,280 images of 20 inanimate objects taken under varying lighting condition. Using this distribution, we develop an illumination insensitive measur e of image comparison and test it on the problem of face recognition.
Hansen F. Chen, Peter N. Belhumeur, David W. Jacob