Research Article
Generalized Algebraic Structure for Mathematical Morphology
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 16 - Issue 6 |
| Published: February 2011 |
| Authors: Ramkumar P.B, Pramod K.V |
10.5120/2014-2719
|
Ramkumar P.B, Pramod K.V . Generalized Algebraic Structure for Mathematical Morphology. International Journal of Computer Applications. 16, 6 (February 2011), 38-41. DOI=10.5120/2014-2719
@article{ 10.5120/2014-2719,
author = { Ramkumar P.B,Pramod K.V },
title = { Generalized Algebraic Structure for Mathematical Morphology },
journal = { International Journal of Computer Applications },
year = { 2011 },
volume = { 16 },
number = { 6 },
pages = { 38-41 },
doi = { 10.5120/2014-2719 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2011
%A Ramkumar P.B
%A Pramod K.V
%T Generalized Algebraic Structure for Mathematical Morphology%T
%J International Journal of Computer Applications
%V 16
%N 6
%P 38-41
%R 10.5120/2014-2719
%I Foundation of Computer Science (FCS), NY, USA
Abstract
Mathematical morphology is a theory of image transformations and image functional which is based on set-theoretical, geometrical, and topological concepts.The methodology is particularly useful for the analysis of the geometrical structure in an image. The main goal of this paper is to introduce generalized algebraic structure for Mathematical Morphology. The following topics are discussed: introduction to mathematical morphology; generalization to algebraic structure; convex geometrical aspects of morphology .Some results presented in this paper is an extension to newly defined algebraic structure for Mathematical Morphology. . We hope that this generalization will be helpful for introducing new ideas in Morphological related works.
References
- Petros Maragos, Slope Transforms: Theory &Applications to Non linear signal processing, IEEE Transactions on Image Processing. Vol .43 ,No.4,April 1995.
- Mathematical Morphology, John Goustias and Henk J.A.M Heijmans, I.O.S Press.
- H.J.A.M Heijmans, Morphological Image Operators, Boston, M.A Academic,1994 .
- J .Serra, Image Analysis and Mathematical Morphology, New York Academic ,1982.
- P .Maragos and R.W Schafer, ”Morphological system for multi dimensional signal processing” Proc. IEEE,Vol,78,P.D 690-710,April 1990.
- Image Processing and Mathematical Morphology, Frank Y .Shih,CRC Press,2009.
- Mathematical Morphology and Poset Geometry, Alain Bretto and Enzo Maria Li Marzi.
- Morphological operators for Image Sequences, John Goutsias, Henk J.A.M Heijmans ,K .Sivakumar
- Convex Geometry and Mathematical Morphology, K.V Pramod, Ramkumar P.B, communicated to ‘International Journal of Computer Applications.
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