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Zastosowanie modelu Isinga do odszumiania zniszczonych dokumentów

Kocot M., Gruber J., Jóźwiak I.

Zeszyty Naukowe. Organizacja i Zarządzanie / Politechnika Śląska

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2014

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z. 74

65--73

PL

W artykule przedstawiono sposób wykorzystania modelu Isinga w kontekście zastosowania go do usuwania szumów z dokumentów mających ubytki spowodowane szkodami fizycznymi. Proponowana metoda opiera się na maksymalizowaniu prawdopodobieństwa rozkładu łącznego za pomocą algorytmu iteracyjnej zmiany mody warunkowej. Zastosowane rozszerzenie algorytmu ICM pozwala na zwiększenie efektywności przetwarzania dokumentów. Wyniki badań empirycznych potwierdzają przydatność algorytmu w zastosowaniach.

EN

This article discusses how to use the Ising model in the context of noise reduction being applied to the documents of losses caused physical harm. The proposed method is based on energy function minimizing using optimized Iterated Conditional Modes. Applied extension ICM algorithm allows to increase the efficiency of document processing. Empirical studies confirm the usefulness of the algorithm in practice.

2

From the slit-island method to the Ising model: Analysis of irregular grayscale objects

Mazurek P., Oszutowska-Mazurek D.

International Journal of Applied Mathematics and Computer Science

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2014

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Vol. 24, no. 1

49--63

EN

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 of the input image data from unipolar to bipolar gives a possibility of reformulated image analysis using the Ising model context. The polynomial approximation of the obtained area-perimeter curve allows object classification. The proposed technique is applied to the images of cervical cell nuclei (Papanicolaou smears) for the preclassification of the correct and atypical cells.

3

Monte Carlo simulations of the Ising model on a square lattice with random Gaussian interactions

Gębarowski R.

Czasopismo Techniczne. Nauki Podstawowe

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2014

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R. 111, z. 3-NP

51--57

EN

The paper shows Monte Carlo simulations of the Ising model on a square lattice with no external magnetic field. In particular, the uncertainty of the spin coupling interactions in the Ising model has been considered. The influence on the phase transition of the Gaussian noise in the spin coupling values has been demonstrated.

PL

W artykule przedstawiono symulacje Monte Carlo modelu Isinga na sieci kwadratowej przy braku zewnętrznego pola magnetycznego. W szczególności rozważono niepewność wartości energii sprzężenia oddziałujących spinów w modelu Isinga. Zademonstrowano wpływ na przejście fazowe obecności szumu gaussowskiego w wartościach stałej sprzężenia oddziałujących spinów.

4

The critical properties of magnetic system using generalized belief propagation technique

Gwizdałła T.

Prace Naukowe Politechniki Warszawskiej. Elektronika

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2008

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z. 165

85-93

EN

Since few years the Belief Propagation [13, 14, 15] algorithm is reported as a very efficient tool to perform the optimization of systems which can be topologically transformed to the one of acceptable equivalent forms [9, 7]. The Ising system is often mentioned in these papers as a good example to present some basic foundations of BP. It is however rarely used as a tool to solve the Ising system itself. In this article we are going to present the analysis of critical properties, connected to the phase transition of magnetic system described by the Ising hamiltonian and the comparison of results to those obtained using evolutionary algorithm.

5

Corrections to the Kelvin equation for long-range wall-particle potentials

Drzewiński A., Szota K.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

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2004

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Vol. 3, nr 1

31--39

EN

The properties of a simple fluid, or Ising magnet, confined in an L× ∞ geometry, are studied by means of numerical density-matrix renormalization-group techniques. Whereas the particle-particle potential is short ranged, the wall-particle potential is long ranged decaying as h1/lp for various values of p-integer, where l = 1,2,…,L labels the columns across the strip and h1 is the reduced amplitude of the boundary field. For the shortrange wall-particle potential, according to the Kelvin equation, the bulk coexistence field scales as 1/L for large L; thermodynamics and scaling arguments predict higher-order corrections of the 1/L2 and 1/L5/3 types at partial and complete wetting, respectively. However, at complete wetting for a large range of surface fields and temperatures a correction to scaling of type 1/L4/3 has been found recently. We discuss the influence of long-range wall-fluid potentials on the scaling. Results are obtained for several values of h1 for strips of widths up to L = 690.

6

Model ferromagnetyka jako wzorzec w systemie pomiarowym

Gozdur R.

Zeszyty Naukowe. Elektryka / Politechnika Łódzka

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2001

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z. 98

271-278

PL

W artykule opisano podstawowe zagadnienia i problematykę związaną z modelowaniem i symulacją zjawisk fizycznych w ferromagnetykach, w tym samego ferromagnetyzmu. Opracowany sformalizowany model magnesowania próbki dwuwymiarowej bazuje na teorii pola spinowego z zastosowaniem modelu Isinga. Badania symulacyjne wykonano dla układu kanonicznego w zmiennym polu magnetycznym.

EN

The problems of modelling of ferromagnetic phenomena and ferromagnetism are described in the paper. The formal model of the two-dimensional magnetised sample of material based on king's spin model. The simulation of ferromagnetism with a canonical approach was performed for alternative magnetic field.