Contextual iso-triangular array P system and iso-triangular picture languages

Bhuvaneswari, K.; Kalyani, T.; Thomas, Duncan

doi:10.1109/acmc.2014.7065801

Cited by 3 publications

(4 citation statements)

References 13 publications

(13 reference statements)

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“…An iso-triangular array language is a subset of +2 . (Refer triangular grids in [2]). The connectivity used here coincides with the well-known 8 connectivity on the two dimensional digital plane ℤ 2 .…”

Section: Iso-triangular Co-ordinate Systemmentioning

confidence: 99%

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Contextual iso-triangular array P system and hexagonal picture languages

Bhuvaneswari¹,

Kalyani

Thomas³

2014

2014 IEEE International Conference on Computational Intelligence and Computing Research

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In this paper contextual string grammar model is extended to a two dimensional array grammar model, called contextual iso-triangular array grammar. Membrane computing is a computational model and in which system is its device. It is a cell like structure model. We continue the study of linking these two areas by introducing contextual iso triangular array system and we investigate its power in generating the hexagonal picture languages. The main interesting study is that makes use of contextual iso triangular array erasing rules of contextual iso triangular array system, the star picture is generated.

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Section: Iso-triangular Co-ordinate Systemmentioning

confidence: 99%

“…In this work we extended the study by introducing the contextual iso triangular array system with the rules of contextual iso triangular array grammar. In [2] contextual iso triangular array system is introduced and investigated its generative powers.…”

Section: Introductionmentioning

confidence: 99%

Contextual iso-triangular array P system and hexagonal picture languages

Bhuvaneswari¹,

Kalyani

Thomas³

2014

2014 IEEE International Conference on Computational Intelligence and Computing Research

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“…Consider the extended triangular tile pasting system ETTP( 3 , e 4 , e 5 , e 6 } and P = {(e 4 , a 2 ), (e 6 , a 3 ), (e 2 , a 1 ), (e 1 , b 2 ), (e 3 , b 3 ), (e 5 , b 1 ), (a 2 , e 4 ), (b 2 , e 1 ), (a 3 , e 6 ), (b 3 , e 3 )} and ∆ = {(e 2 e 6 , a 1 ), (e 2 e 4 , a 2 ), (e 4 e 6 , a 3 ), (e 1 e 5 , b 1 ), (e 3 e 1 , b 2 ), (e 3 e 5 , b 3 )}. The language of irregular hexagon pattern is generated in parallel manner, and the language is shown with three members in Figure 2.…”

Section: Figure 1: Language Of Octantsmentioning

confidence: 99%

“…A two-dimensional pattern generating model called a Pasting System that generates tiling patterns by pasting square tiles at the edges, has been introduced and studied in [12]. Iso-Triangular picture languages were introduced in [1,2,3,5]. Adopting this notion, Triangular Tile Pasting System that pastes edge-to-edge isosceles right angled triangular tiles in the two dimensional plane is considered here.…”

Section: Introductionmentioning

confidence: 99%

Triangular Tile Pasting $P$ System and Array Generating Petri Nets

Bhuvaneswari¹,

Kalyani²,

Lalitha³

2016

Int. J. of Pure and Appl. Math.

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In the area of membrane computing, a new computability model, called P system is a highly distributed and parallel theoretical computing model. Generating two dimensional picture languages is one of the applications of P systems. Ceterachi et al. began a study on connecting the two areas, membrane computing and array grammars. Triangular tile pasting system and the Triangular Tile pasting P system models have been introduced for pattern generation. This paper introduce the k-order TTPS and ETTPS. Also this paper has extended the theory of Triangular tile pasting P system to generate two dimensional picture languages.A comparative study between triangular tile pasting system and Triangular tile pasting P system is made. Comparison is also made with the array generating Petri nets.

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