An Algorithm for the Simulation of Pseudo Hexagonal Image Structure Using MATLAB

Full Text (PDF, 681KB), PP.57-63

Views: 0 Downloads: 0


Jeevan K. M. 1,* S. Krishnakumar 1

1. School of Technology & Applied Science, Edapally, Kochi-24, Kerala, India

* Corresponding author.


Received: 15 Jan. 2016 / Revised: 24 Mar. 2016 / Accepted: 3 May 2016 / Published: 8 Jun. 2016

Index Terms

Hexagonal image, Square pixels, HVS, Spiral Architecture, Pseudo hexagonal structure


Hexagonal structure is a different approach to represent an image rather than the traditional square structure. Hexagonal shaped pixels are used in hexagonal structure representation of images. The hexagonal structure closely resembles the structure of human visual systems (HVS) because the photo receptors found in human retina are arranged in a hexagonal manner. Also curved structure can be well represented using hexagonal structure. So if we could able to represent the image in hexagonal domain, the computer vision will be as close to human vision. But in the present scenario there is no hardware available to capture or display hexagonal images. So we have to simulate a hexagonal grid on a regular square pixel image for further processing in hexagonal domain. In this paper, a new method for constricting a pseudo hexagonal structure using square pixel is presented. This method preserves the important property of hexagonal architecture that each pixel has exactly six surrounding neighbors. This method also preserves the equidistance property of hexagonal pixels. 

Cite This Paper

Jeevan K. M., S. Krishnakumar,"An Algorithm for the Simulation of Pseudo Hexagonal Image Structure Using MATLAB", International Journal of Image, Graphics and Signal Processing(IJIGSP), Vol.8, No.6, pp.57-63, 2016. DOI: 10.5815/ijigsp.2016.06.07


[1]Coxeter, H.S.M., Introduction to geometry. 1969, New York: Wiley.

[2]Christine A. Curcio, Kenneth R. Sloan, Robert E. Kalina, and Anita E. Hendrickson, "Human Photoreceptor Topography", The Journal of Comparative Neurology 292:497-523 (1990)

[3]X. He, T. Hintz, Q. Wu, H. Wang and W. Jia, "A New Simulation of Spiral Architecture", Proceeding of International Conference on Image processing, Computer Vision and Pattern Recognition, (2006) June, Las Vegas. 

[4]C.A. Wuthrich and P. Stucki, "An algorithmic comparison between square- and hexagonal based grids". CVGIP: Graphical Models and Image Processing, 1991. 53(4): p. 324-339.

[5]Q. Wu,, X. He, and T. Hintz, "Virtual Spiral Architecture". Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, 2004. p. 399-405.

[6]X. He, "2-D Object Recognition with Spiral Architecture", 1999, PhD Thesis, University of Technology, Sydney.

[7]P. Sheridan, T. Hintz, and D. Alexander, "Pseudo invariant Image Transformations on a Hexagonal Lattice," Image and Vision Computing, vol. 18, pp. 907-917, 2000.

[8]Middleton, L., & Jayanthi Sivaswamy, 2005, Hexagonal Image Processing– A Practical approach, USA, Springer-Verlag London Limited. 

[9]Veni, S. & Narayanankutty, K.A., "Gabor Functions for Interpolation on Hexagonal Lattice", International Journal of Electronics & Communication Technology, 2(1), 15-19, 2011

[10]Barun kumar, Pooja Gupta & KuldipPahwa, "Square Pixels to Hexagonal Pixel Structure Representation Technique", International Journal of Signal Processing, Image Processing and Pattern Recognition, 17(4), 137-144, 2014

[11]Jeevan, K.M. & Krishnakumar, S. "Compression of Images Represented in Hexagonal Lattice Using Wavelet and Gabor Filter", Proceedings of 2014 IEEE International Conference on Contemporary Computing and Informatics, pp 609 – 613, 2014 

[12]P.Vidya, S.Veni & K.A. Narayanankutty, "Performance Analysis of Edge Detection Methods on Hexagonal Sampling Grid", International Journal of Electronic Engineering Research, 1(4), 313-328, 2009.

[13]X. He, T. Hintz, Q. Wu, H. Wang and W. Jia, "A New Simulation of Spiral Architecture", InProc.IPCV, pp 570-575, 2006