Research Article

On Generalized Digital Topology and Root Images of Median Filters

Number: 20 January 3, 2018
EN

On Generalized Digital Topology and Root Images of Median Filters

Abstract

In this paper, we extend the concepts of semi-open sets and λ-open sets in the digital topology. In addition, we introduce the concepts of regular semi-open and regular λ-open sets. A relationship between digital topology and image processing is established.

Keywords

References

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  2. [2] P. Alexandroff, Diskrete Räume, Mathematicheskii Sbornik (Rwceul Mathématique), Vol.2, no.3, p.p 502-519, 1937.
  3. [3] A. Alpers, Digital topology: Regular sets and root image of cross-median filter, Journal of Mathematical imaging vision, Vol. 17, p.p. 7-14, 2002.
  4. [4] Arenas, F. G. Dontchev, J. and Ganster. M, on λ–sets and dual of generalized continuity. Questions Answers. Gen. Topology. No 15, p.p 3-13, 1997.
  5. [5] M. Caidas, S. Jafri, G. Navalagi, More on λ-closed sets in topological spaces, Revesita Colombinnade Mathemάtices, Vol. 41. No. 2, p.p. 355-369, 2007.
  6. [6] H. U. Döhler, Generation of root signals of two-dimensional median filters, Signal Processing, Vol. 18, p.p. 269-276, 1989. In: Ulrich Eckhardt, Root images of median filters, Journal of Mathematical Imaging and Vision, No. 19, p.p 63-70, 2003.
  7. [7] U. Eckhardt, L. J. Latecki, Topologies for the digital spaces and, Computer vision and image understanding, Vol. 90, p.p. 295-312,2003.
  8. [8] U. Eckhardt, Root image of median filters: Semi-Topological Approach, T. Asano et al. (Eds): Geometry, Morphology, LNCS 2616, p.p. 176-195, Springer Verlag Berlin Heidelberg, 2003.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Sobhy El Shiekh This is me

Mohamed Yakout This is me

Sawsan El Sayed This is me

Publication Date

January 3, 2018

Submission Date

November 30, 2017

Acceptance Date

-

Published in Issue

Year 2018 Number: 20

APA
Tantawy, O., El Shiekh, S., Yakout, M., & El Sayed, S. (2018). On Generalized Digital Topology and Root Images of Median Filters. Journal of New Theory, 20, 13-26. https://izlik.org/JA25FN46YF
AMA
1.Tantawy O, El Shiekh S, Yakout M, El Sayed S. On Generalized Digital Topology and Root Images of Median Filters. JNT. 2018;(20):13-26. https://izlik.org/JA25FN46YF
Chicago
Tantawy, Osama, Sobhy El Shiekh, Mohamed Yakout, and Sawsan El Sayed. 2018. “On Generalized Digital Topology and Root Images of Median Filters”. Journal of New Theory, nos. 20: 13-26. https://izlik.org/JA25FN46YF.
EndNote
Tantawy O, El Shiekh S, Yakout M, El Sayed S (January 1, 2018) On Generalized Digital Topology and Root Images of Median Filters. Journal of New Theory 20 13–26.
IEEE
[1]O. Tantawy, S. El Shiekh, M. Yakout, and S. El Sayed, “On Generalized Digital Topology and Root Images of Median Filters”, JNT, no. 20, pp. 13–26, Jan. 2018, [Online]. Available: https://izlik.org/JA25FN46YF
ISNAD
Tantawy, Osama - El Shiekh, Sobhy - Yakout, Mohamed - El Sayed, Sawsan. “On Generalized Digital Topology and Root Images of Median Filters”. Journal of New Theory. 20 (January 1, 2018): 13-26. https://izlik.org/JA25FN46YF.
JAMA
1.Tantawy O, El Shiekh S, Yakout M, El Sayed S. On Generalized Digital Topology and Root Images of Median Filters. JNT. 2018;:13–26.
MLA
Tantawy, Osama, et al. “On Generalized Digital Topology and Root Images of Median Filters”. Journal of New Theory, no. 20, Jan. 2018, pp. 13-26, https://izlik.org/JA25FN46YF.
Vancouver
1.Osama Tantawy, Sobhy El Shiekh, Mohamed Yakout, Sawsan El Sayed. On Generalized Digital Topology and Root Images of Median Filters. JNT [Internet]. 2018 Jan. 1;(20):13-26. Available from: https://izlik.org/JA25FN46YF

 

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