Color Edge Detection using Quaternion Convolution and Vector Gradient

Nadia BenYoussef, Aicha Bouzid

2017

Abstract

In this paper, a quaternion-based method is proposed for color image edge detection. A pair of quaternion mask is used for horizontal and vertical filter since quaternion convolution is not commutative. The detection procedure consists of two steps: quaternion convolution for edge detection and gradient vector to enhance edge structures. Experimental results demonstrate its capabilities on natural color images.

References

  1. Koschan, A., Abidi, M., 2008. Digital color image processing, John Wiley & Sons.
  2. Pei, S. C., Cheng, C. M., 1997. A novel block truncation coding of color images using a quaternion-momentpreserving principle. In IEEE Transactions on Communications, 45(5), 583-595.
  3. Sangwine, S. J., 1996. Fourier transforms of colour images using quaternion or hypercomplex, numbers. In Electronics letters, 32(21), 1979-1980.
  4. Moxey, C. E., Ell, T. A., Sangwine, S. J., 2002, September. Hypercomplex operators and vector correlation. In Signal Processing Conference, 2002 11th European (pp. 1-4). IEEE.
  5. Denis, P., Carre, P., Fernandez-Maloigne, C., 2007. Spatial and spectral quaternionic approaches for colour images. In Computer Vision and Image Understanding, 107(1), 74-87.
  6. Sangwine, S. J., Ell, T. A., 2000. Colour image filters based on hypercomplex convolution. In IEEE Proceedings-Vision, Image and Signal Processing, 147(2), 89-93.
  7. Sangwine, S. J., 1998. Colour image edge detector based on quaternion convolution. In Electronics Letters, 34(10), 969-971.
  8. Evans, C. J., Sangwine, S. J., Ell, T. A., 2000. Hypercomplex color-sensitive smoothing filters. In Image Processing, 2000. Proceedings. 2000 International Conference on (Vol. 1, pp. 541-544). IEEE.
  9. Moxey, C. E., Sangwine, S. J., Ell, T. A., 2003. Hypercomplex correlation techniques for vector images. In IEEE Transactions on Signal Processing, 51(7), 1941-1953.
  10. Ma, X., Xu, Y., Song, L., Yang, X., Burkhardt, H., 2008, June. Color image watermarking using local quaternion Fourier spectral analysis. In 2008 IEEE International Conference on Multimedia and Expo (pp. 233-236). IEEE.
  11. Hamilton, W. R., 1853. Lectures on quaternions.
  12. Pei, S. C., Cheng, C. M., 1997, September. Novel block truncation coding of image sequences for limited-color display. In International Conference on Image Analysis and Processing (pp. 164-171). Springer Berlin Heidelberg.
  13. Jin, L., Li, D., 2007. An efficient color-impulse detector and its application to color images. IEEE Signal Processing Letters, 14(6), 397-400.
  14. Xu, J., Ye, L., Luo, W., 2010. Color edge detection using multiscale quaternion convolution. International Journal of Imaging Systems and Technology, 20(4), 354-358.
  15. Martin, D., Fowlkes, C., Tal, D., Malik, J., 2001. A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In Computer Vision, 2001. ICCV 2001. Proceedings. Eighth IEEE International Conference on (Vol. 2, pp. 416-423). IEEE.
  16. BenYoussef, N., Bouzid, A., Ellouze, N., 2014. Multiscale Product for Edge Detection. Journal of Electronic Science and Technology, 1, 022.
  17. BenYoussef, N., Bouzid, A., Ellouze, N., 2016, March. Color image edge detection method based on multiscale product using Gaussian function. In Advanced Technologies for Signal and Image Processing (ATSIP), 2016 2nd International Conference on (pp. 228-232). IEEE.
  18. Kirkwood, B. R., Sterne, J. A., 2003. Medical statistics. Medical statistics.
  19. Khaire, P. A., Thakur, N. V., 2012. A fuzzy set approach for edge detection. International Journal of Image Processing (IJIP), 6(6), 403-412.
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Paper Citation


in Harvard Style

BenYoussef N. and Bouzid A. (2017). Color Edge Detection using Quaternion Convolution and Vector Gradient . In Proceedings of the 12th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 4: VISAPP, (VISIGRAPP 2017) ISBN 978-989-758-225-7, pages 135-139. DOI: 10.5220/0006229601350139


in Bibtex Style

@conference{visapp17,
author={Nadia BenYoussef and Aicha Bouzid},
title={Color Edge Detection using Quaternion Convolution and Vector Gradient},
booktitle={Proceedings of the 12th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 4: VISAPP, (VISIGRAPP 2017)},
year={2017},
pages={135-139},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006229601350139},
isbn={978-989-758-225-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 12th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 4: VISAPP, (VISIGRAPP 2017)
TI - Color Edge Detection using Quaternion Convolution and Vector Gradient
SN - 978-989-758-225-7
AU - BenYoussef N.
AU - Bouzid A.
PY - 2017
SP - 135
EP - 139
DO - 10.5220/0006229601350139