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Nouvelles méthodes de traitement de signaux multidimensionnels par décomposition suivant le théorème de Superposition de Kolmogorov

2010

The processing of multidimensional signal remains difficult when using monodimensional-based methods. Therefore, it is either required to extend monodimensional methods to several dimensions, which is not always possible, or to convert the multidimensional signals into 1D signals. In this case, the priority is to preserve most of the properties of the original signal. In this context, the Kolmogorov Superposition Theorem offers a promising theoretical framework for multidimensional signal conversion. In 1957, Kolmogorov demonstrated that any multivariate function can be written as sums and compositions of monovariate functions.We have focused on the image decomposition according to the supe…

[INFO.INFO-OH] Computer Science [cs]/Other [cs.OH]Traitement de signalCompression d'image[SPI.OTHER]Engineering Sciences [physics]/OtherDécomposition de fonctions multivariées[ SPI.OTHER ] Engineering Sciences [physics]/Other[SPI.OTHER] Engineering Sciences [physics]/OtherTransgression progressive d'image[INFO.INFO-OH]Computer Science [cs]/Other [cs.OH][ INFO.INFO-OH ] Computer Science [cs]/Other [cs.OH]No english keywordsThéorème de superposition de Kolmogorov
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