IJBTT

Towards New Analytical Straight Line Definitions and Detection with the Hough Transform Method

	International Journal of Engineering Trends and Technology (IJETT)
	© 2018 by IJETT Journal
	Volume-62 Number-2
	Year of Publication : 2018
	Authors : Abdoulaye SERE, Yaya TRAORE, Fr´ed´eric T OUEDRAOGO
	DOI :  10.14445/22315381/IJETT-V62P212

Citation 

MLA Style: Abdoulaye SERE, Yaya TRAORE, Fr´ed´eric T OUEDRAOGO "Towards New Analytical Straight Line Definitions and Detection with the Hough Transform Method" International Journal of Engineering Trends and Technology 62.2 (2018): 66-73.

APA Style:Abdoulaye SERE, Yaya TRAORE, Fr´ed´eric T OUEDRAOGO (2018). Towards New Analytical Straight Line Definitions and Detection with the Hough Transform Method International Journal of Engineering Trends and Technology, 62(2), 66-73.

Abstract
This paper establishes theoretically new analytical straight line definitions in using hexagons, octogons included in pixels. Octogon dual and hexagon dual lead to the detection of these new analytical straight lines with the Hough transform method.

Reference
[1] Abdoulaye SERE, Oumarou SIE, Eric Andres Extended standard Hough Transform for Analytical Line Recognition. In International Journal of Advanced Computer Science and Applications (IJACSA), volume 4, issue 3, pages 256-266, (2013)
[2] M.Dexet , Architecture d’un modeleur g´eom´etrique ´a base topologique d’objets discrets et m´ethodes de reconstruction en dimensions 2 et 3. Th`ese en informatique, Universit´e de Poitiers, France (2006)
[3] J.Cha, R.H.Cofer, S.P Kozaitis, Extended standard Hough Transform for linear feature detection. In Patter Recognition, volume 39, issue 5, pages 1034-1043 (2006).
[4] D.Ballard, Generalizing the Hough Transformation to detect arbitrary shapes. In Pattern Recognition, volume 13, pages 111-112 (1981)
[5] E.Andres , Discrete linear objects in dimension n : the standard model. In Graphical Models, volume 65, issue 1-3, pages 92-111(2003).
[6] L.Guo,O.Chutatape, Influence of discretization in image space on Hough Transform. In Pattern Recognition, volume 32, issue 4, pages 635-644, (1999).
[7] M.Dexet, E.Andres , A generalized preimage for the digital analytical hyperplane recognition,. In Journal Discrete Applied Mathematics, volume 153, issue 4, pages 476-489, (2009).
[8] H.Maitre, Un panorama de la transfom´ee de hough-a review of hough transform. In traitement du signal, volume 2, issue 4, pages 305-317, (1985).
[9] J.P.Reveill´es, Combinatorial pieces in digital lines and planes. In proceeding SPIE 2573, Vision Geometry volume IV, issue 23, (1995).
[10] Gabriel Fanelli, Juergen Gall, Luc Van Goo, Hough Transformbased Mouth Localization for Audio-Visual Speech Recognition, British Machine Vision Conference, September (2009).
[11] Angella Yao, Juergen Gall, Luc Van Goo, A Hough Transform-Based Voting Framework for Action Recognition, IEEE Conference on computer Vision and Pattern Recognition (CVPR’10), (2010).
[12] Abdoulaye SERE, Transformations analytiques appliqu´ees aux images multi-´echelles et bruit´ees, th`ese en informatique, Universit´e de Ouagadougou, (2013).
[13] E.Andres. Mod´elisation analytique discr`ete d’objets g´eom´etriques. Th`ese d’habilitation, Universit´e de Poitiers, France, (2000).
[14] Abdoulaye SERE, Oumarou SIE, Sado TRAORE, Extensions of standard Hough Transform based on Object Dual And Applications. In International Journal of Emerging Trends in Computing and Information Sciences, Volume 6, issue 1, pages 20-24, (2015).
[15] P.Mukhopadhyay, B.B.Chaudhuri, A survey of Hough Transform, Pattern Recognition (2014), http://dx.doi.org/10.1016/j.patcog.2014.08.027
[16] Barun Kumar, Pooja Gupta and Kuldip Pahwa, Square pixels to Hexagonal Pixel Structure Representation Technique, International Journal of Signal Processing and pattern Recognition Vol.7, No.4(2014), pp.137-144 http://dx.doi.org/10.14257/ijsip.2014.7.4.13
[17] Muhammad Azam, M.Almas Anjum, M.Younous Javed, Discrete Cosine Transform (DCT) Based Face Recognition in Hexagonal Images In The 2nd International Conference on Computer and Automation Engineering (ICCAE), IEEE (2010)
[18] NUNO ALBUQUERQUE SOUSA, Hexagonal Grid Image Processing Algorithms in Neural Vision and Prediction Faculdade de Engenharia da Universidade do Porto June 6, (2014)
[19] Abdoulaye SERE, Frederic T. OUEDRAOGO, Boureima ZERBO, An Improvement of the Standard Hough Transform Method based on Geometric Shapes, Future of Information and Communication Conference (FICC) 2018 5-6 April (2018) singapour

Keywords
Hough Transform, Reconstruction, Analytical Straight Line