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In this paper, we propose a new fractal deformation technique. An “extended unit Iterated Shuffle Transformation (ext-unit-IST)” is a mapping that changes the order of the places of a code on a code space. When it is applied on a geometric space, it constructs a fractal-like repeated structure, named “local resemblance”. In our previously proposed fractal deformation technique, a geometric shape was deformed by applying an ext-unit-IST to displacement vectors (d-vectors) given on the shape. In the new technique proposed in this paper, the ext-unit-IST is applied to the increasing rates of the d-vectors. This allows the d-vectors to change widely without disturbing the shape and improves the deformation quality. Several examples demonstrate the performance of the newly proposed technique.

This paper presents a watermarking algorithm based on fractal coding and wavelet transform. In this method, we adopt images which are self-similar to search for its Iterated Function System(IFS) as the watermark information, considering the robust against geometric transformations of fractal code. A chaos system is utilized to control the position of watermark embedded in the DWT domain, and then append the IFS coefficients to the wavelet decomposition coefficients. The approach proves rather efficient against many kinds of distortions.

No abstract received.