Hexagonal arrays and rectangular blocks

Siromoney, Gift; Siromoney, Rani

doi:10.1016/s0146-664x(76)80013-5

Cited by 35 publications

(18 citation statements)

References 14 publications

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“…One such grammar is the hexagonal kolam array grammar (HKAG) introduced by Siromoneys [10], generating a class of hexagonal arrays (HKAL). A new method of applying the parallel splicing operation on images of hexagonal arrays that involve 2×1 or 1×2 dominoes along x or y directions are introduced in [12].…”

Section: Introductionmentioning

confidence: 99%

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Computing with membranes and picture arrays

Venkatesan

Thomas²,

Robinson³

et al. 2015

Journal of Discrete Algorithms

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Splicing systems were introduced by Tom Head [3] on biological considerations to model certain recombinant behaviour of DNA molecules. An effective extension of this operation to images was introduced by Helen Chandra et al. [5] and H array splicing systems were considered. A new method of applying the splicing operation on images of hexagonal arrays was introduced by Thomas et al. [12] and generated a new class of hexagonal array languages HASSL. On the other hand, P systems, introduced by Paun [6] generating rectangular arrays and hexagonal arrays have been studied in the literature, bringing together the two areas of theoretical computer science namely membrane computing and picture languages. P system with array objects and parallel splicing operation on arrays is introduced as a simple and effective extension of P system with operation of splicing on strings and this new class of array languages is compared with the existing families of array languages. Also we propose another P system with hexagonal array objects and parallel splicing operation on hexagonal arrays is introduced and this new class of hexagonal array languages is compared with the existing families of hexagonal array languages.

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Section: Introductionmentioning

confidence: 99%

“…There exists a hexagonal kolam array grammar which generates a language consisting of the above two hexagonal arrays [10]. But this language…”

mentioning

confidence: 99%

Computing with membranes and picture arrays

Venkatesan

Thomas²,

Robinson³

et al. 2015

Journal of Discrete Algorithms

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“…The class of Hexagonal kolam array language (HKAL) was introduced by Siromoneys [9]. The class of Hexagonal array language was introduced by Subramanian.…”

Section: Introductionmentioning

confidence: 99%

Cooperating distributed context-free hexagonal array grammar systems with permitting contexts

K¹,

K.S²

2014

IJMTT

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In this paper we associate permitting symbols with rules of Grammars in the components of cooperating distributed context-free hexagonal array grammar systems as a control mechanism and investigating the generative power of the resulting systems in the terminal mode. This feature of associating permitting symbols with rules when extended to patterns in the form of connected arrays also requires checking of symbols, but this is simpler than usual pattern matching. The benefit of allowing permitting symbols is that it enables us to reduce the number of components required in a cooperating distributed hexagonal array grammar system for generating a set of picture arrays.

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“…Hexagonal arrays and hexagonal patterns are known to occur in studies of picture processing and scene analysis [9][10][11][12]. In [10] the results of some experiments using COMPAX to produce isometric views of scenes of rectangular parellepipeds showed the generation of hexagonal arrays.…”

Section: Introductionmentioning

confidence: 99%

“…In [10] the results of some experiments using COMPAX to produce isometric views of scenes of rectangular parellepipeds showed the generation of hexagonal arrays. In [12] hexagonal arrays on triangular grid are viewed as two-dimensional representation of three-dimensional blocks, and "perceptual twins" of pictures of given set of blocks. In biomedical image processing, it has been shown that a programmable cellular automaton with hexagonal structure is a worthy device for rapid processing of biomedical images [9].…”

Section: Introductionmentioning

confidence: 99%

Adjunct hexagonal array token Petri nets and hexagonal picture languages

Thomas¹,

Nagar²,

Thamburaj³

et al. 2014

Math. Appl.

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Abstract. Adjunct Hexagonal Array Token Petri Net Structures (AHPN) are recently introduced hexagonal picture generating devices which extended the Hexagonal Array Token Petri Net Structures . In this paper we consider AHPN model along with a control feature called inhibitor arcs and compare it with some expressive hexagonal picture generating and recognizing models with respect to the generating power.

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Hexagonal arrays and rectangular blocks

Cited by 35 publications

References 14 publications

Computing with membranes and picture arrays

Computing with membranes and picture arrays

Cooperating distributed context-free hexagonal array grammar systems with permitting contexts

Adjunct hexagonal array token Petri nets and hexagonal picture languages

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