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An Overview of the Topological Gradient Approach in Image Processing : Advantages and Inconveniences
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-22
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Image analysis by topological gradient approach is a technique based upon the historic application of the topological asymptotic expansion to crack localization problem from boundary measurements.
This paper aims at reviewing this methodology through various applications in image processing; in particular image restoration with edge detection, classification and segmentation problems for both grey level and color images is presented in this work.
The numerical experiments show the efficiency of the topological gradient approach for modelling and solving different image analysis problems.
However, the topological gradient approach presents a major drawback: the identified edges are not connected and then the results obtained particularly for the segmentation problem can be degraded.
To overcome this inconvenience, we propose an alternative solution by combining the topological gradient approach with the watershed technique.
The numerical results obtained using the coupled method are very interesting.
American Psychological Association (APA)
Jaafar Belaid, Lamia. 2010. An Overview of the Topological Gradient Approach in Image Processing : Advantages and Inconveniences. Journal of Applied Mathematics،Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-496730
Modern Language Association (MLA)
Jaafar Belaid, Lamia. An Overview of the Topological Gradient Approach in Image Processing : Advantages and Inconveniences. Journal of Applied Mathematics No. 2010 (2010), pp.1-19.
https://search.emarefa.net/detail/BIM-496730
American Medical Association (AMA)
Jaafar Belaid, Lamia. An Overview of the Topological Gradient Approach in Image Processing : Advantages and Inconveniences. Journal of Applied Mathematics. 2010. Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-496730
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496730