Author(s)

R. Cerdan

Abstract

Image ultracompactification mathematical model R. Cerdan Advanced Systems Engineering, Inisel Espacio, Avenida de Burgos 8bis, 28036, Madrid, Spain 1. Introduction: Starting with a fractal surface landscape generic function of oscillatory type, a method is described to replace the exponential factor a by a topoloeicai function (Ua, 0J which imbeds a supermanifold structure exploiting local coordinate neighborhood symmetries. This technique allows to reduce data size needed to both store and retrieve digitalized images by the use of an Ising-spin multineural network in which a supermanifold-type basin of attraction is defined. 2. Fractal Generation Of Surface Landscapes Mathematically expressed, a fractal is a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension. An interesting property of fractals is that they seem to be invariant to changes in scale. No matter if one amplifies or scales down a fractal system, the object re- mains th

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