Novel algorithm for generating basis convex hexagonal polygons and polyhedrons
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Geometric Filters (G-Filters) are efficient shape filters than morphological filters. In this paper, the Algorithms for constructing basis hexagonal polygons and polyhedrons are developed. The development process involves 2 Algorithms. The 1st Algorithm describes process of constructing 18 convex polygons and 324 convex polyhedrons. The 2nd one describes way of constructing the 5 Basis convex hexagonal polygons and 25 basis convex polyhedrons. This polygons and polyhedrons are used as masks for processing 2D or 3D hexagonal images captured with hexagonal camera or hexagonalized images which are captured by using rectangular camera. Instead of using this 18 polygons and 324 polyhedrons one can use this 5 basis polygons and 25 basis polyhedrons for processing.
KeywordsGeometric filters Convex polygons Polyhedrons 3D hexagonal lattice
The Authors are thankful to G. Chitra MD of Pentagram Research Center Pvt Ltd Hyderabad for allowing to do research and providing the infrastructure, technical and programming team and a heartful thanks to my prof Dr. E. G Rajan sir for his continues guidance and support.
- 1.Gonzalez, R.C., Woods, R.E.: Digital Image Processing, 2nd edn. Pearson Education, Inc., (2004)Google Scholar
- 2.Rajan, E.G.: Symbolic Computing-Signal and Image Processing. BS Publications, Hyderabad (2003)Google Scholar
- 4.Rajan, E.G.: The notion of geometric filters and their use in computer vision. In: 1995 IEEE International Conference on Systems, Man and Cybernetics, Vancouver, B.C., Canada, pp. 4250–4255 (1995)Google Scholar
- 5.Rajan, E.G.: On the notion of a geometric filter and its relevance in the neighbourhood processing of digital images in hexagonal grids. In: 4th International Conference on Control, Automation, Robotics and Vision, Westim Stamford, Singapore (1996)Google Scholar
- 6.Vasantha, N., Rajan, E.G.: On the notion of geometric filters. In: National Conference Organized by the Institution of Engineers, India and Annamalai University, SURGE’94 (1994)Google Scholar
- 9.Maragos, P., Scharer, R.W.: Applications of morphological filtering to image processings and analysis. In: Proceedings of 1986 IEEE International Conference on Acoustics, Speech, and Signal Processing, Tokyo, Japan, pp. 2067–2070 (1986)Google Scholar
- 10.Sonka, M., Hlavac, V., Boyele, R.: Image Processing, Analysis, and Machine Vision, 3rd edn. Brooks Cole (2008)Google Scholar
- 11.Sultana, T., Rajan, E.G.: Algebra of Geometric Filters Defined Over Three Dimensional Rectangular Lattice—Part I, Paper submitted to this conference along with this paperGoogle Scholar
- 12.Senthilnayaki, M., Veni, S., Kutty, K.N.: Hexagonal pixel grid modeling for edge detection and design of cellular architecture for binary image skeletonization. In: IEEE Annual Conference on India, pp. 1–6 (2006)Google Scholar
- 13.Narayanankutty, K.A.: Image enhancement of medical images using Gabor Filter Bank on hexagonal sampled grids. Int. J. Electr. Comput. Energ. Electron. Commun. Eng. 4(5), 853–858 (2010)Google Scholar
- 15.Snyder, W.E., Qi, H., Sander, W.: A coordinate system for hexagonal pixels. In: Proceedings of SPIE, pp. 716–727 (1999)Google Scholar