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This paper deals with the theory and application of 2-Dimensional, nine-neighborhood, nullboundary, uniform as well as hybrid Cellular Automata (2D CA) linear rules in image processing. These rulesâ€¦ (More)

- Pabitra Pal Choudhury, Sudhakar Sahoo, Birendra Kumar Nayak, S. Sarif Hassan
- 2009 IEEE International Advance Computingâ€¦
- 2009

In this paper the theory of Carry Value Transformation (CVT) is designed and developed on a pair of n-bit strings and is used to produce many interesting patterns. One of them is found to be aâ€¦ (More)

- Suryakanta Pal, Sudhakar Sahoo, Birendra Kumar Nayak
- Int. J. Math. Mathematical Sciences
- 2012

-The notion of Carry Value Transformation (CVT) is a model of Discrete Deterministic Dynamical System. In this paper, we have studied some interesting properties of CVT and proved that (1) theâ€¦ (More)

In this paper the theory of Carry Value Transformation (CVT) is designed and developed on a pair of n-bit strings and is used to produce many interesting patterns. One of them is found to be aâ€¦ (More)

- Sudhakar Sahoo, Pabitra Pal Choudhury, Amita Pal, Birendra Kumar Nayak
- J. Cellular Automata
- 2014

This paper presents solutions to Density Classification Task (DCT) using a variant of Cellular Automata (CA) called Programmable Cellular Automata (PCA). The translation property as well as theâ€¦ (More)

In this paper we have used one 2 variable Boolean function called Rule 6 to define another beautiful transformation named as Extended Rule-6. Using this function we have explored the algebraicâ€¦ (More)

In this paper, the notion Affine Discrete Dynamical Systems (ADDS) in terms of Integral Value Transformations (IVTs), is introduced and their mathematical properties, particularly their equilibriumâ€¦ (More)

In this paper, a set of transformations is defined on to. Some basic and naÃ¯ve mathematical structure of is introduced. The concept of discrete dynamical systems through IVT and some further researchâ€¦ (More)

2 P. G. Department of Mathematics, Bhubaneswar 751004, India Emails: sarimif@gmail.com, ananyaaroy1@gmail.com, pabitrapalchoudhury@gmail.com and bknatuu@yahoo.co.uk Abstract Integral Valueâ€¦ (More)

In this paper, we analyze the algebraic structure of some null boundary as well as some periodic boundary 2-D Cellular Automata (CA) rules by introducing a new matrix multiplication operation usingâ€¦ (More)