Axiomatization of shape analysis and application to texture hyperdiscrimination

It is proven that, under four simple axioms, the multiscale analysis of shapes is given by a curvature motion equation. The advantages of such an axiomatic analysis are illustrated in order to discuss the psychophysical theory of early vision of B. Julesz, i.e., the texture preattentive discrimination theory. The result is unexpected. It is proved that the Julesz axiomatic is too good for human vision, and that it leads to a hyperdiscrimination algorithm