CFP last date
20 January 2025
Call for Paper
February Edition
IJCA solicits high quality original research papers for the upcoming February edition of the journal. The last date of research paper submission is 20 January 2025

Submit your paper
Know more
The week's pick
Responsive image
SFLA-Based Line Balancing and Task Optimization in Master-Slave Controlled Hanger Transportation Systems for Garment Production

Duc Hoang Nguyen
Random Articles
Reseach Article

Symmetrical Axis Determination and Center Curve

by H. M. Imran Hassan, Shaikat Debnath, Toufiq Ahmed
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 57 - Number 2
Year of Publication: 2012
Authors: H. M. Imran Hassan, Shaikat Debnath, Toufiq Ahmed
10.5120/9087-2806

H. M. Imran Hassan, Shaikat Debnath, Toufiq Ahmed . Symmetrical Axis Determination and Center Curve. International Journal of Computer Applications. 57, 2 ( November 2012), 25-29. DOI=10.5120/9087-2806

@article{ 10.5120/9087-2806,
author = { H. M. Imran Hassan, Shaikat Debnath, Toufiq Ahmed },
title = { Symmetrical Axis Determination and Center Curve },
journal = { International Journal of Computer Applications },
issue_date = { November 2012 },
volume = { 57 },
number = { 2 },
month = { November },
year = { 2012 },
issn = { 0975-8887 },
pages = { 25-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume57/number2/9087-2806/ },
doi = { 10.5120/9087-2806 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:59:25.299554+05:30
%A H. M. Imran Hassan
%A Shaikat Debnath
%A Toufiq Ahmed
%T Symmetrical Axis Determination and Center Curve
%J International Journal of Computer Applications
%@ 0975-8887
%V 57
%N 2
%P 25-29
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper represent an efficient computational method to identify symmetry axis and centre curve in a 2-dimensional text, image and structure. An adaptive technique is proposed for symmetrical axis determination using mirror image. The proposed approach can adopt threshold value from first computation. Exclusive OR of logical original and mirror image is used for adopt threshold value. Here local symmetry such as 1-fold, 2-fold, 3-fold, 4-fold, 5-fold and 6-fold are identified that exist in certain limited region on the 2-dimensional structure. Another important symmetry as mirror symmetry and centre of symmetry is also characterizing the structure of objects. Locations of local symmetry axes can be used in structure averaging as well as in detecting small structural variations among different copies of the same protein.

References
  1. M. Park, S. Lee, P. -C. Chen ,S. Kashyap, A. A. Butt, and Y. Liu. Performance evaluation of state-of-the-art discrete symmetry detection algorithms. In Proceedings of IEEE International Conference on Computer Vision and Pattern Recognition, pages1–8,June 2008.
  2. S. Mitra and Y. Liu. Local facial asymmetry for expression classication. In Proceedings of International Conference on Computer Vision and Pattern Recognition, volume 2, pages 889–894, June 2004.
  3. M. Mancas, B. Gosselin, and B. Macq. Fast and automatic tumoral area localization using symmetry. IEEE International Conference on Acoustics, Speech, and Signal Processing. , 2:725–728,18-23,2005.
  4. A. Y. Yang, S. Rao, K. Huang, W. Hong, and Y. Ma. Geometric segmentation of perspective images based on symmetry groups. In ICCV, pages 1251–1258, 2003.
  5. Stefan Carlsson. Symmetry in perspective. In ECCV (1), pages 249–263, 1998.
  6. W. Hong, A. Y. Yang, K. Huang, and Y. Ma. On symmetry and multiple-view geometry: Structure, pose, and calibration from a single image. Int. J. of Comp. Vis. , 2004.
  7. Yanxi Liu, James Hays, Ying-Qing Xu and Heung-Yeung Shum. Digital papercutting. International Conference on Computer Graphics and Interactive Techniques.
  8. A. Kuehnle. Symmetry-based recognition of vehicle rears. Pattern Recognition. Lett. , 12(4):249–258,1991.
  9. Larry S. Davis. Understanding shape, ii: Symmetry. SMC, 7:204–212, 1977.
  10. Steven C. Dakin1* and Andrew M. Herbert2. The spatial region of integration for visual symmetry detection. Proceedings of the Royal Society of London B265, pp659-664.
  11. C. Sun and D. Si. Fast reflectional symmetry detection using orientation histograms. Journal of Real Time Imaging, 5(1):63–74, February 1999.
  12. Gareth Loy! and Jan-Olof Eklundh. Detecting Symmetry and Symmetric Constellations of Features. Proc European Conference on Computer Vision (ECCV), 2006.
  13. Yan Ke and Rahul Sukthankar. Pca-sift: A more distinctive representation for local image descriptors. In CVPR (2), pages 506–513, 2004.
  14. David G. Lowe. Distinctive image features from scale-invariant keypoints. Int. J. of Comp. Vis. , 60(2):91–110, 2004.
  15. K. Mikolajczyk, T. Tuytelaars, C. Schmid, A. Zisserman, J. Matas, F. Schaffalitzky, T. Kadir, and L. Van Gool. A comparison of affine region detectors. Int. J. of Comp. Vis. , 2006.
  16. Seungkyu Lee, Yanxi Liu. Curved Glide-Reflection Symmetry Detection. Computer Vision and Pattern Recognition Conference (CVPR '09)
  17. Yosi Keller and Yoel Shkolnisky. An algebraic approach to symmetry detection. In ICPR (3), pages 186–189, 2004.
  18. Alex Levinshtein, Sven Dickinson, Cristian Sminchisescu. Multiscale Symmetric Part Detection and Grouping. ICCVIEEE (2009) p. 2162-2169.
Index Terms

Computer Science
Information Sciences

Keywords

Symmetrical axis Rotational symmetry Centre curve Mirror image Exclusive OR polar coordinate

Powered by PhDFocusTM