In this paper we propose a new watermarking technique where the watermark is embedded according to two keys. The first key is used to embed a code bit in a block of pixels. The second is used to generate the whole sequence of code bits. The watermark is embedded in spatial domain by adding or subtracting a random digital pattern to the given image signal. The embedding depth level depends on th...

This research describes a novel approach that accurately detects depth edges with cluttered inner texture edges effectively ignored. We strategically project structured light and exploit distortion of the light pattern in the structured light image along depth discontinuities to reliably detect depth edges. In practice, distortion along depth discontinuities may not occur or be large enough to ...

‎in this paper we study the existence of fixed points for mappings defined on complete metric spaces‎, ‎satisfying a general contractive inequality depending on two additional mappings‎.

We show that the Depth of an ultraproduct of Boolean Algebras cannot jump over the Depth of every component by more than one cardinal. Consequently we have similar results for the Depth invariant.

Let F be a closed essential surface in a hyperbolic 3-manifold M with a toroidal cusp N . The depth of F in N is the maximal distance from points of F in N to the boundary of N . It will be shown that if F is an essential pleated surface which is not coannular to the boundary torus of N then the depth of F in N is bounded above by a constant depending only on the genus of F . The result is used...

‎In this paper we study the existence of fixed points for mappings defined on complete metric spaces‎, ‎satisfying a general contractive inequality depending on two additional mappings‎.

We deal with a family of functionals depending on curvatures and we prove for them compactness and semicontinuity properties in the class of closed and bounded sets which satisfy a uniform exterior and interior sphere condition. We apply the results to state an existence theorem for the Nitzberg and Mumford problem under this additional constraint. Ref. S.I.S.S.A. 85/99/M (July 99)

The original ideas about noncommuting coordinates are recalled. The connection between U(1) gauge fields defined on noncommuting coordinates and fluid mechanics is explained. The idea that configuration-space coordinates may not commute