On the background of a brief survey panorama results on topic in title, one new theorem is presented concerning positive topological entropy (i.e. chaos) for impulsive differential equations Cartesian product compact intervals, which positively invariant under composition associated Poincaré translation operator with multivalued upper semicontinuous mapping.

Gaussian curvature is an invariant local descriptor of smooth surfaces. We present an object signature which is a condensed representation of the distribution of Gaussian curvature information at visible object points. An invariant related to Gaussian curvature at a point is derived from the covariance matrix of the photometric values in a neighborhood about that point. In addition, we introduc...

This paper presents a novel zero-watermarking scheme, which is robust to geometric distortions and common signal processes. Zero-watemarking technique is different from traditional digital image watermarking, which constructs watermark from its host image, instead of watermark inserting. We construct watermark from low-frequency coefficients in discrete wavelet transform (DWT) domain, which is ...