Green's Functions of Matching Equations: A Unifying Approach for Low-level Vision Problems
José R. A. Torreão, Leonardo João, Marcos S., Leonardo Beltrao · 2007
We have reviewed the computer vision applications of Green's functions of image matching equations. Green's functions of both uniform- and affine-matching second-order differential equations have been considered, and we have illustrated their use for the computer vision problems of edge detection, monocular shape estimation, and stereoscopy. The Green's filters considered are essentially point-spread functions which have proven able to model the image-plane projection of a broad class of motions, along with their associated blur effects (Ferreira Jr. et al., 2004). As shown here, such motion modeling capability makes them suitable for a unifying approach to several low-level vision processes, whose full consequences still remain to be explored. This work has been supported by CNPq-Brasil.