CONTRIBUTIONS OF FRACTIONAL CALCULUS TO EARLY VISION

Abstract

As for almost all physical signals, useful information for image understanding is contained in the position and nature of singularities. Consequently, a set of early vision methods has been proposed for locating discontinuities of given derivatives with the aim of solving a large class of features extraction problems. Certain early vision tasks also require a more accurate knowledge of pointwise regularity, mainly for evaluating image roughness. We propose to take these requirements into account, by extending the usual singularity detection methods with the help of fractional calculus.