Alain Hillion

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This paper addresses the estimation of fuzzy Gaussian distribution mixture with applications to unsupervised statistical fuzzy image segmentation. In a general way, the fuzzy approach enriches the current statistical models by adding a fuzzy class, which has several interpretations in signal processing. One such interpretation in image segmentation is the(More)
A new tendency in the design of modern signal processing methods is the creation of hybrid algorithms. This paper gives an overview of different signal processing algorithms situated halfway between Markovian and neural paradigms. A new systematic way to classify these algorithms is proposed. Four specific classes of models are described. The first one is(More)
In image processing, textures are generally represented as homogeneous random fields, homogeneous meaning stationary or second-order stationary. This paper presents a generalization of the second-order stationarity to the second-order invariance under a group of transforms. Some examples of interesting groups are given. The Cholesky factorization is applied(More)
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