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In previous papers, we presented an image interpretation system for automatic cartography using remote sensing and photointerpreter knowledge for classification purpose. Two different approaches were proposed: expert system (ICARE) [1] and connexionist approach [5]. Both used a preclassification made with the maximum likelihood method and included texture features derived from grey levels cooccurrences...
We propose new sets of Fourier–Mellin descriptors for color images. They are constructed using the Clifford Fourier transform of Batard et al. (2010) [4] and are an extension of the classical Fourier–Mellin descriptors for grayscale images. These are invariant under direct similarity transformations (translations, rotations, scale) and marginal treatment of colors images is avoided. An implementation...
We use in this paper the formalism of Clifford algebras to define the so-called Color Monogenic Signal associated to a color image. It consists in a function with values in the Clifford algebra ??5,0 that codes color (RGB) and geometric structures information. Using geometric calculus, a notion of local color phase is introduced, generalizing the one for gray level image. As an example of application,...
Cluster validity indexes aim at evaluating the degree to which a partition obtained from a clustering algorithm approximates the real structure of a data set. Most of them reduce to the search of the right number of clusters. This paper presents such a new validity index for fuzzy clustering based on the aggregation of the resulting membership degrees with no additional information, e.g. lite geometrical...
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