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In this paper we are proposing the use of Kaniadakis entropy in the bi-level thresholding of images, in the framework of a maximum entropy principle. We discuss the role of its entropic index in determining the threshold and in driving an…

Computer Vision and Pattern Recognition · Computer Science 2015-02-24 Amelia Carolina Sparavigna

The maximum entropy principle is often used for bi-level or multi-level thresholding of images. For this purpose, some methods are available based on Shannon and Tsallis entropies. In this paper, we discuss them and propose a method based…

Computer Vision and Pattern Recognition · Computer Science 2015-08-06 Amelia Carolina Sparavigna

Thresholding is an important task in image processing. It is a main tool in pattern recognition, image segmentation, edge detection and scene analysis. In this paper, we present a new thresholding technique based on two-dimensional Tsallis…

Computer Vision and Pattern Recognition · Computer Science 2014-01-22 Mohamed A. El-Sayed , S. Abdel-Khalek , Eman Abdel-Aziz

By using the maximum entropy principle with Tsallis entropy we obtain a fragment size distribution function which undergoes a transition to scaling. This distribution function reduces to those obtained by other authors using Shannon…

Soft Condensed Matter · Physics 2015-06-24 Oscar Sotolongo-Costa , Arezky H. Rodriguez , G. J. Rodgers

This article presents a new method of segmenting grayscale images by minimizing Shannon's neutrosophic entropy. For the proposed segmentation method, the neutrosophic information components, i.e., the degree of truth, the degree of…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Vasile Patrascu

The property of Tsallis entropy is examined when considering tow systems with different temperatures to be in contact with each other and to reach the thermal equilibrium. It is verified that the total Tsallis entropy of the two systems…

Statistical Mechanics · Physics 2015-08-10 Jiulin Du

Photo-induced switching from the low-spin state to the high-spin state is studied in a model of spin-crossover materials, in which long-range interactions are induced by elastic distortions due to different molecular sizes the two spin…

Statistical Mechanics · Physics 2015-05-13 Seiji Miyashita , Per Arne Rikvold , Takashi Mori , Yusuké Konishi , Masamichi Nishino , Hiroko Tokoro

A large class of technically non-chaotic systems, involving scatterings of light particles by flat surfaces with sharp boundaries, is nonetheless characterized by complex random looking motion in phase space. For these systems one may…

Chaotic Dynamics · Physics 2009-11-10 Henk van Beijeren

By using the maximum entropy principle, with Tsallis entropy, we obtain an explicit dependence for energy distribution of earthquakes. This function describes very well the observations in a wide range of energies, where other distribution…

Soft Condensed Matter · Physics 2007-05-23 Oscar Sotolongo-Costa , Antonio Posadas

We investigate localization transitions and mobility edge phenomena in one-dimensional quasiperiodic lattice models using an information theoretic framework based on the Tsallis entropy of single particle eigenstates.We employ the Tsallis…

Statistical Mechanics · Physics 2026-03-31 Arpita Goswami

Here we compare the Boltzmann-Gibbs-Shannon (standard) with the Tsallis entropy on the pattern recognition and segmentation of coloured images obtained by satellites, via "Google Earth". By segmentation we mean split an image to locate…

Computer Vision and Pattern Recognition · Computer Science 2015-06-18 Lucas Assirati , Alexandre Souto Martinez , Odemir Martinez Bruno

Maximum entropy principles in nonextensive statistical physics are revisited as an application of the Tsallis relative entropy defined for non-negative matrices in the framework of matrix analysis. In addtition, some matrix trace…

Statistical Mechanics · Physics 2010-01-12 Shigeru Furuichi

A novel algorithm is proposed for segmenting an image into multiple levels using its mean and variance. Starting from the extreme pixel values at both ends of the histogram plot, the algorithm is applied recursively on sub-ranges computed…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Siddharth Arora , Jayadev Acharya , Amit Verma , Prasanta K. Panigrahi

We define an entropy based on a chosen governing probability distribution. If a certain kind of measurements follow such a distribution it also gives us a suitable scale to study it with. This scale will appear as a link function that is…

Data Analysis, Statistics and Probability · Physics 2007-10-24 Peter Sunehag

We present a path toward determining the statistical origin of the thermodynamic limit for systems with long-range interactions. We assume throughout that the systems under consideration have thermodynamic properties given by the Tsallis…

Statistical Mechanics · Physics 2015-06-18 Nikos Kalogeropoulos

We demonstrate that dual entropy expressions of the Tsallis type apply naturally to statistical-mechanical systems that experience an exceptional contraction of their configuration space. The entropic index $\alpha>1$ describes the…

Chaotic Dynamics · Physics 2015-11-30 G. Cigdem Yalcin , Carlos Velarde , Alberto Robledo

Following the work on Shannon entropy together with the principle of maximum entropy, Luo & Singh (J. Hydrol. Eng., 2011, 16(4): 303-315) and Singh & Luo (J. Hydrol. Eng., 2011, 16(9): 725-735) explored the concept of non-extensive Tsallis…

Fluid Dynamics · Physics 2020-08-26 Manotosh Kumbhakar , Rajendra K. Ray , Koeli Ghoshal , Vijay P. Singh

In this paper we introduce an easy to compute upper bound on the Tsallis entropy of a density matrix describing a system coupled to a noise source. This suggests that the Tsallis entropy is most natural in the context of quantum information…

Quantum Physics · Physics 2017-02-28 Boaz Tamir

In this paper, one uses the Tsallis entropy in the impact parameter space to study $pp$ and $\bar{p}p$ inelastic overlap function and the energy density filling up mechanism responsible by the so-called black disk limit as the energy…

High Energy Physics - Phenomenology · Physics 2020-01-09 S. D. Campos , V. A. Okorokov , C. V. Moraes

A new method is proposed for analyzing complexity and studying the information in random geometric networks using Tsallis entropy tool. Tsallis entropy of the ensemble of random geometric networks is calculated based on the components of…

Statistical Mechanics · Physics 2025-02-20 O. K. Kazemi , S. M. Taheri
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