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J. Math. Comput. Sci. 6 (2016), 86–102

On an algorithm for extracting height ridges on 2-D images

Nassar H. Abdel-All, M. A. Soliman, R. A. Hussien, Wadah M. El-Nini

Abstract

Ridges are one of the key feature of interest in areas such as computer vision and image processing. Even though a significant amount of research has been directed to defining and extracting ridges some fundamental challenges remain. The authors have recently shown [16] the attraction of ridge and height ridge as a generalized local maximum in 2-D Riemannian space by directly calculations. Here, we are concerned with provide an algorithm to finding the height ridges on 2-D function which given by either explicit equation or discretely as a table of values. Some examples are given and plotted. Found that the results of algorithm matching to results of our paper [16] by directly calculations.

Published
14 January 2016
Volume
6 (2016)
License
CC BY 3.0

Copyright © 2016 Nassar H. Abdel-All, M. A. Soliman, R. A. Hussien, Wadah M. El-Nini. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

N. H. Abdel-All, M. A. Soliman, R. A. Hussien, W. M. El-Nini, On an algorithm for extracting height ridges on 2-D images, J. Math. Comput. Sci. 6 (2016), 86–102.

BibTeX
@article{Abdel-All2016,
  author  = {Abdel-All, Nassar H. and Soliman, M. A. and Hussien, R. A. and El-Nini, Wadah M.},
  title   = {On an algorithm for extracting height ridges on 2-D images},
  journal = {J. Math. Comput. Sci.},
  volume  = {6},
  year    = {2016},
  pages   = {86--102},
  doi     = {}
}