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This paper proposes a new pattern of two dimensional cellular automata linear rules that are used for efficient edge detection of an image. Since cellular automata is inherently parallel in nature, it has produced desired output within a…

计算机视觉与模式识别 · 计算机科学 2013-12-24 Jahangir Mohammed , Deepak Ranjan Nayak

We study the influence of the dimension of cellular automata (CA) for real time language recognition of one-dimensional languages with parallel input. Specifically, we focus on the question of determining whether every language that can be…

形式语言与自动机理论 · 计算机科学 2016-10-04 Anaël Grandjean , Victor Poupet

This paper deals with the theory and application of 2-Dimensional, nine-neighborhood, null- boundary, uniform as well as hybrid Cellular Automata (2D CA) linear rules in image processing. These rules are classified into nine groups…

离散数学 · 计算机科学 2008-04-16 Pabitra Pal Choudhury , Birendra Kumar Nayak , Sudhakar Sahoo , Sunil Pankaj Rath

Two-dimensional nine neighbor hood rectangular Cellular Automata rules can be modeled using many different techniques like Rule matrices, State Transition Diagrams, Boolean functions, Algebraic Normal Form etc. In this paper, a new model is…

计算机科学中的逻辑 · 计算机科学 2008-02-28 Birendra Kumar Nayak , Sudhakar Sahoo , Sushant Kumar Rout

In this work, the one-dimensional Cellular Automaton is extended to one that involves two sets of symbols and two global rules. As a main result, the Extended Curtis-Hedlund-Lyndon Theorem is demonstrated. Such constructions can be useful…

元胞自动机与格子气 · 物理学 2025-02-25 Pouya Mehdipour , Mostafa Salarinoghabi , Paula Gibrim

This paper presents a novel approach to the description and understanding of two-dimensional binary cellular automata with the Moore neighborhood that preserve the number of active cells. Such dynamical systems are known to successfully…

动力系统 · 数学 2025-12-10 B. Wolnik , D. M. Falkiewicz , W. Bołt , A. Rutkowski , B. De Baets

Cellular automata are often used to model systems in physics, social sciences, biology that are inherently asynchronous. Over the past 20 years, studies have demonstrated that the behavior of cellular automata drastically changed under…

离散数学 · 计算机科学 2007-06-19 Damien Regnault , Nicolas Schabanel , Éric Thierry

Cellular automata are a set of computational models in discrete space that have a discrete time evolution defined by neighbourhood rules. They are used to simulate many complex systems in physics and science in general. In this work,…

元胞自动机与格子气 · 物理学 2023-05-12 Luca Bertolani , Andrea Idini

Cellular automata are discrete and computational models thatcan be shown as general models of complexity. They are used in varied applications to derive the generalized behavior of the presented model. In this paper we have took one such…

神经与进化计算 · 计算机科学 2020-05-14 Karan Nayak

A polyomino is said to be L-convex if any two of its cells are connected by a 4-connected inner path that changes direction at most once. The 2-dimensional language representing such polyominoes has been recently proved to be recognizable…

形式语言与自动机理论 · 计算机科学 2016-10-04 Anaël Grandjean , Victor Poupet

We investigate how increasing the dimension of the array can help to draw signals on cellular automata.We show the existence of a gap of constructible signals in any dimension. We exhibit two cellular automata in dimension 2 to show that…

计算复杂性 · 计算机科学 2007-05-23 Jean-Christophe Dubacq , Veronique Terrier

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it includes only nearest-neighbour…

统计力学 · 物理学 2007-05-23 Andreas Schadschneider

Parallel algorithms for solving any image processing task is a highly demanded approach in the modern world. Cellular Automata (CA) are the most common and simple models of parallel computation. So, CA has been successfully used in the…

计算机视觉与模式识别 · 计算机科学 2014-07-30 Deepak Ranjan Nayak , Prashanta Kumar Patra , Amitav Mahapatra

Cellular Automata (CA) are common and most simple models of parallel computations. Edge detection is one of the crucial task in image processing, especially in processing biological and medical images. CA can be successfully applied in…

计算机视觉与模式识别 · 计算机科学 2014-02-07 Deepak Ranjan Nayak , Sumit Kumar Sahu , Jahangir Mohammed

This paper studies directional dynamics in cellular automata, a formalism previously introduced by the third author. The central idea is to study the dynamical behaviour of a cellular automaton through the conjoint action of its global rule…

离散数学 · 计算机科学 2010-08-23 Martin Delacourt , Victor Poupet , Mathieu Sablik , Guillaume Theyssier

Quantum cellular automata consist in arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G. Moreover the global evolution G is required to be causal (it propagates…

量子物理 · 物理学 2019-09-09 Pablo Arrighi

In this paper, under certain conditions we consider two-dimensional cellular automata with the Moore neighborhood. Namely, the characterization of 2D linear cellular automata defined by the Moore neighborhood with some mixed boundary…

动力系统 · 数学 2024-06-11 B. A. Omirov , Sh. B. Redjepov , J. B. Usmonov

We construct a two dimensional Cellular Automata based model for the description of pedestrian dynamics. Wide range of complicated pattern formation phenomena in pedestrian dynamics are described in the model, e.g. lane formation, jams in a…

元胞自动机与格子气 · 物理学 2012-11-29 Quntao Zhuang

Microscopic modeling of multi-lane traffic is usually done by applying heuristic lane changing rules, and often with unsatisfying results. Recently, a cellular automaton model for two-lane traffic was able to overcome some of these problems…

统计力学 · 物理学 2009-10-30 Kai Nagel , Dietrich E Wolf , Peter Wagner , Patrice Simon

Layered Cellular Automata (LCA) extends the concept of traditional cellular automata (CA) to model complex systems and phenomena. In LCA, each cell's next state is determined by the interaction of two layers of computation, allowing for…

元胞自动机与格子气 · 物理学 2023-08-15 Abhishek Dalai
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