Freezing Sets Invariant-based Characteristics of Digital Images-Reference-Cited by-同舟云学术

Freezing Sets Invariant-based Characteristics of Digital Images

Published:2023-05-18 Issue: Volume:22 Page:354-358
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Almuhur Eman¹,Abuhijleh Eman A.²,Alafifi Ghada³,Alkouri Abdulazeez⁴,Bin-Asfour Mona⁵

Affiliation:

1. Department of Basic Science and Humanities, Applied Science Private University, Amman, JORDAN

2. Department of Basic Sciences, Al-Balqa Applied University, Zarqa, JORDAN

3. Mathematics Department, Philadelphia University, Amman, JORDAN

4. Mathematics Department, Ajloun National University, Ajloun, JORDAN

5. Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh, SAUDI ARABIA

Abstract

Due to the widespread use of digital images of real-world objects as mathematical models, this research examines the freezing sets invariant-base properties of digital images. In contrast to earlier studies that only covered a discrete or limited collection of points, fixed points of digitally continuous functions are approved to deal with a variety of characteristics of digital images.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference10 articles.

1. L. Boxer. Fixed point sets in digital topology, 2. Applied General Topology, (2020), 21(1): 111-133. https://doi.org/10.4995/agt.2020.12101.

2. C. Berge. Graphs and Hypergraphs. 2nd edition, North-Holland, Amsterdam, 1976.

3. L. Boxer. Generalized normal product adjacency in digital topology. Applied General Topology, (2017),18 (2): 401-427. http://dx.doi.org/10.4995/agt.2017.7798.

4. A. Rosenfeld. Continuous functions on digital pictures. Pattern Recognition Letters, (1986), 4: 177-184. Available from: https://doi.org/10.1016/0167-8655(86)90017-6.

5. L. Boxer, A Classical Construction for the Digital Fundamental Group, Journal of Mathematical Imaging and Vision, 10 (1999), 51-62. https://doi.org/10.1023/A:1008370600456.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Remarks on fixed point assertions in digital topology, 7;Applied General Topology;2024-04-02