NDLI: Multivariate mathematical morphology based on fuzzy extremum estimation

Content Provider	IET Digital Library
Author	Lei, Tao Wang, Yi Wang, Guohua Fan, Yangyu
Abstract	The existing lexicographical ordering approaches respect the total ordering properties, thus making this approach a very robust solution for multivariate ordering. However, different marginal components derived from various representations of a colour image will lead to different results of multivariate ordering. Moreover, the output of lexicographical ordering only depends on the first component leading to the followed components taking no effect. To address these issues, three new marginal components are obtained by means of quaternion decomposition, and they are employed by fuzzy lexicographical ordering, and thus a new fuzzy extremum estimation algorithm (FEEA) based on quaternion decomposition is proposed in this study. The novel multivariate mathematical morphological operators are also defined according to FEEA. Comparing with the existing solutions, experimental results show that the proposed FEEA performs better results on multivariate extremum estimation, and the presented multivariate mathematical operators can be easily handled and can provide better results on multivariate image filtering.
Starting Page	548
Ending Page	558
Page Count	11
ISSN	17519659
Volume Number	8
e-ISSN	17519667
Issue Number	Issue 9, Sep (2014)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-ipr/8/9
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-ipr.2013.0510
Journal	IET Image Processing
Publisher Date	2014-05-01
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Colour Image Representations Combinatorial Mathematics Computer Vision And Image Processing Technique FEEA Fuzzy Extremum Estimation Fuzzy Extremum Estimation Algorithm Fuzzy Lexicographical Ordering Approach Fuzzy Set Theory Image Colour Analysis Image Representation Marginal Component Mathematical Morphology Multivariate Image Filtering Multivariate Mathematical Morphological Operators Multivariate Ordering Optical, Image And Video Signal Processing Quaternion Decomposition Total Ordering Property
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering Computer Vision and Pattern Recognition Software

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