IJSER Home >> Journal >> IJSER
International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 4    
Website: http://www.ijser.org
scirp IJSER >> Volume 2, Issue 4, April 2011 Edition
Morphological Space and Transform System
Full Text(PDF, 3000)  PP.  
Ramkumar P.B, Pramod K.V
morphological space, transform systems, slope transforms, legendre, kernel.
Mathematical Morphology in its original form is a set theoretical approach to image analysis. It studies image transformations with a simple geometrical interpretation and their algebraic decomposition and synthesis in terms of elementary set operations. Mathematical Morphology has taken concepts and tools from different branches of mathematics like algebra (lattice theory), topology, discrete geometry, integral geometry, geometrical probability, partial differential equations, etc. In this paper ,a generalization of morphological terms is introduced. In connection with the algebraic generalization.Morphological operators can easily be defined by using this structure. This can provide information about operators and other tools within the system.
[1] John Goustias and Henk J.A.M Heijmans ,Mathematical Morphology, , I.O.S Press.

[2] H.J.A.M Heijmans, Morphological Image Operators,Boston, M.A Academic,1994 .

[3] J .Serra, Image Analysis and Mathematical Morphology,New York Academic ,1982.

[4] P .Maragos and R.W Schafer, ”Morphological system for multi dimensional signal processing” Proc. IEEE,Vol,78,P.D 690- 710,April 1990.

[5] P .Maragos,A representation theory for morphological image and signal processing. IEEE Transactions on Pattern analysis and machine intelligence 11,(1989),586-599.

[6] The Matheron Representation Theorem for Gray Scale Morphological Operators, G. CROMBEZ,Proceedings of the American Mathematical Society Volume 108, Number 3, March 1990(Proceedings)

[7] Heijmans, H.J.A.M ,and Ronse,C.The algebraic basis of Mathematical Morphology –Part I, Dilations and Erosions ,Computer vision, Graphics and Image Processing,50(1990) 245-295.

[8] Rein Van Den Boomgaard and Henk Heijmans, Morphological scale space- operators.

[9] Javier Vidal& Jos´e Crespo,Sets Matching in Binary Images Using Mathematical Morphology,International Conference of the Chilean Computer Science Society.

[10] Jean Cousty, Laurent Najman and Jean Serra,Some morphological operators in graph spaces,ISSM-2009.

[11] Petros Maragos,Lattice Image Processing: A Unification of Morphological and Fuzzy Algebraic Systems,Journal of Mathematical Imaging and Vision 22:333-353,2005.

[12] Chu-Song Chen, Yi-Ping Hung,Theoretical Aspects of Vertically Invariant Gray-Level Morphological Operators and Their Application on Adaptive Signal and Image Filtering, IEEE transactions on signal processing, vol. 47, no. 4, april 1999 1049.

[13] Petros Maragos,Slope Transforms:Theory and Application to Nonlinear Signal Processing,IEEE Transactions on Signal Processing, Vol 43,No.4,April 1995.

[14] K.V Pramod, Ramkumar P.B , Convex Geometry and Mathematical Morphology, International Journal of Computer Applications, Vol:8,Page 40-45

Untitled Page