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This fourth and last tome is focusing on describing the envisioned works fora project that has been presented in the preceding tome. It is about a newapproach dedicated to the coding of still and moving pictures, trying to bridgethe MPEG-4 and MPEG-7 standard bodies. The aim of this project is to define theprinciples of self-descriptive video coding. In order to establish them, thedocument is composed in five chapters that describe the various envisionedtechniques for developing such a new approach in visual coding: - imagesegmentation, - computation of visual descriptors, - computation of perceptualgroupings, - building of visual dictionaries, - picture and video coding. Basedon the techniques of multiresolution computing, it is proposed to develop animage segmentation made from piecewise regular components, to computeattributes on the frame and the rendering of so produced shapes, independentlyto the geometric transforms that can occur in the image plane, and to gatherthem into perceptual groupings so as to be able in performing recognition ofpartially hidden patterns. Due to vector quantization of shapes frame andrendering, it will appear that simple shapes may be compared to a visualalphabet and that complex shapes then become words written using this alphabetand be recorded into a dictionary. With the help of a nearest neighbourscanning applied on the picture shapes, the self-descriptive coding will thengenerate a sentence made from words written using the simple shape alphabet.

Hierarchical Modeling of Multidimensional Data in Regularly Decomposed Spaces: Synthesis and Perspective