Multivariate Self-Dual Morphological Operators Based on Extremum Constraint
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-13
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Self-dual morphological operators (SDMO) do not rely on whether one starts the sequence with erosion or dilation; they treat the image foreground and background identically.
However, it is difficult to extend SDMO to multichannel images.
Based on the self-duality property of traditional morphological operators and the theory of extremum constraint, this paper gives a complete characterization for the construction of multivariate SDMO.
We introduce a pair of symmetric vector orderings (SVO) to construct multivariate dual morphological operators.
Furthermore, utilizing extremum constraint to optimize multivariate morphological operators, we construct multivariate SDMO.
Finally, we illustrate the importance and effectiveness of the multivariate SDMO by applications of noise removal and segmentation performance.
The experimental results show that the proposed multivariate SDMO achieves better results, and they suppress noises more efficiently without losing image details compared with other filtering methods.
Moreover, the proposed multivariate SDMO is also shown to have the best segmentation performance after the filtered images via watershed transformation.
American Psychological Association (APA)
Lei, Tao& Wang, Yi& Luo, Weiwei. 2015. Multivariate Self-Dual Morphological Operators Based on Extremum Constraint. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1074238
Modern Language Association (MLA)
Lei, Tao…[et al.]. Multivariate Self-Dual Morphological Operators Based on Extremum Constraint. Mathematical Problems in Engineering No. 2015 (2015), pp.1-16.
https://search.emarefa.net/detail/BIM-1074238
American Medical Association (AMA)
Lei, Tao& Wang, Yi& Luo, Weiwei. Multivariate Self-Dual Morphological Operators Based on Extremum Constraint. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1074238
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074238