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From the Slit-Island Method to the Ising model: Analysis of irregular grayscale objects

Przemysław Mazurek, Dorota Oszutowska-Mazurek (2014)

International Journal of Applied Mathematics and Computer Science

The Slit Island Method (SIM) is a technique for the estimation of the fractal dimension of an object by determining the area-perimeter relations for successive slits. The SIM could be applied for image analysis of irregular grayscale objects and their classification using the fractal dimension. It is known that this technique is not functional in some cases. It is emphasized in this paper that for specific objects a negative or an infinite fractal dimension could be obtained. The transformation...

Funciones de entropía asociadas a medidas de Csiszar.

Miquel Salicrú Pagès, Carles Maria Cuadras (1987)

Qüestiió

En este trabajo se presentan las medidas de entropía que provienen de la distancia, en el sentido de Csiszar, entre una distribución y la distribución en la que todos los sucesos son equiprobables. En segundo lugar, se estudian condiciones para la concavidad y no negatividad de las medidas propuestas. Finalmente, se obtienen los funcionales Φ-entropía como casos particulares de las medidas estudiadas.

Fusion based analysis of ophthalmologic image data

Jiří Jan, Radim Kolář, Libor Kubečka, Jan Odstrčilík, Jiří Gazárek (2011)

Kybernetika

The paper presents an overview of image analysis activities of the Brno DAR group in the medical application area of retinal imaging. Particularly, illumination correction and SNR enhancement by registered averaging as preprocessing steps are briefly described; further mono- and multimodal registration methods developed for specific types of ophthalmological images, and methods for segmentation of optical disc, retinal vessel tree and autofluorescence areas are presented. Finally, the designed methods...

Fuzzy transforms in image compression and fusion

Irina Perfilieva (2007)

Acta Mathematica Universitatis Ostraviensis

An overview of direct and inverse fuzzy transforms of three types is given and applications to data processing are considered. The construction and some important properties of fuzzy transforms are presented on the theoretical level. Three applications of F -transform to data processing have been chosen: compressional and reconstruction of data, removing noise and data fusion. All of them successively exploit the filtering property of the inverse fuzzy transform.

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