Square Pixels to Hexagonal Pixel Structure Representation Technique

Kumar, B.Gopi Chandra; Gupta, Pooja; Pahwa, Kuldip

doi:10.14257/ijsip.2014.7.4.13

Cited by 7 publications

(3 citation statements)

References 6 publications

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“…Next, the papers from each class are separated based on the specific application. The search and selection results are given in Table II for circular and Table III [3], [5], [6], [8][9][10][11][12][13][14][15], [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31], [33-42] 37 Total #papers 42 We further categorized the papers from each application in sub-classes depending on whether authors provide formulas on how to calculate the total number of embedded hexagonal cells, their vertices or edges.…”

Section: Paper Search and Selection Resultsmentioning

confidence: 99%

“…Hexagonal grids are used in many different scientific fields, due to its advantages compared to other approaches. According to some researches, it has been found that using a hexagonal instead of a traditional square grid provides better results in digital image and signal processing [1][2][3][4][5][6][7]. In biological application, the advantage of using hexagons is present in observations, simulations and experiments, with a special benefit provided in biological modelling [8].…”

Section: Introductionmentioning

confidence: 99%

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A Review of Embedding Hexagonal Cells in the Circular and Hexagonal Region of Interest

Prvan¹,

Ožegović²,

Mišura³

2019

IJACSA

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Hexagonal cells are applied in various fields of research. They exhibit many advantages, and one of the most important is their possibility to be closely packed and to form a hexagonal grid that fully covers the Region of Interest (ROI) without overlaps or gaps. ROI can be of various geometrical shapes, but this paper deals with the circular or hexagonal ROI approximations. The main purpose of our research is to provide a short review on the literature concerning the hexagonal grid, summarizing the existing state-of-the-art approaches on embedding hexagonal cells in the targeted ROI shapes and offering application-specific advantages. We report on formulas and algebraic expressions given in the existing researches that are used for calculating the number of embedded inner hexagonal cells or their vertices and/or edges. We contribute by integrating all researches in one place, finding a connection between previously unrelated applications concerning the use of embedded hexagonal grid and extracting commonality between previous researches on whether it provides the formulas on calculating the inner hexagon cells. In case only the number of edges or vertices is provided for the targeted application, we derive formulas for calculating the number of inner hexagons. Therefore, our survey results with the overview on solving the problem of embedding hexagonal cells in the desired circular or hexagonal ROI. The contribution of the review is the following: first it provides the existing and the derived formulas for calculating the embedded hexagons and second, it provides a theoretical background that is necessary to encourage further research. Namely, our main motivation, that is the geometrical design of the one of the world's largest CERN particle detectors, Compact Muon Solenoid (CMS) is analyzed as a source for the future research directions.

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Section: Paper Search and Selection Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Review of Embedding Hexagonal Cells in the Circular and Hexagonal Region of Interest

Prvan¹,

Ožegović²,

Mišura³

2019

IJACSA

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“…When nearest neighborhood, paths or connectivity is crucial, the rectangular network may not be suitable. Recent research on digital image and image processing found that utilizing a hexagonal network instead of a square network delivers better results [1,10,13,25]. In ecology applications, the benefits of utilizing hexagons is available in observation, experiment and simulation, with an exceptional advantage gave in natural displaying [3].…”

Section: Hexagonal Möbius Ladder Networkmentioning

confidence: 99%

The locating number of hexagonal Möbius ladder network

Nadeem

Azeem

Khalil

2020

J. Appl. Math. Comput.

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Due to the immense applications of interconnection networks, various new networks are designed and extensively used in computer sciences and engineering fields. Networks can be expressed in the form of graphs, where node become vertex and links between nodes are called edges. To obtain the exact location of a specific node which is unique from all the nodes, several nodes are selected this is called locating/resolving set. Minimum number of nodes in the locating set is called locating number. In this article, we find the exact value of locating number of newly designed hexagonal Möbius ladder network.

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Biologically Inspired Hexagonal Image Structure for Computer Vision

Varghese

Saroja

2022

Advances in Information Communication Technology and Computing

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Square Pixels to Hexagonal Pixel Structure Representation Technique

Cited by 7 publications

References 6 publications

A Review of Embedding Hexagonal Cells in the Circular and Hexagonal Region of Interest

A Review of Embedding Hexagonal Cells in the Circular and Hexagonal Region of Interest

The locating number of hexagonal Möbius ladder network

Biologically Inspired Hexagonal Image Structure for Computer Vision

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