Duality of Iterative Soft Close in Multi Scale Soft Morphological Environment
Kompella venkata ramana "Duality of Iterative Soft Close in Multi Scale Soft Morphological Environment". International Journal of Computer Trends and Technology (IJCTT) V36(1):22-31, June 2016. ISSN:2231-2803. www.ijcttjournal.org. Published by Seventh Sense Research Group.
Abstract -
In this paper, duality is discussed in soft
close in multi scale as well as iterative environment.
Soft erosion and soft dilation will exist for various
thresholds. So soft open and soft close also exist for
various thresholds. If definition for soft erosion and soft
dilation are studied (5), then some type of equalities are
viewed among soft morphological operations. So
equality may be established in between soft erosion and
soft dilation in multi scale environment. open and
close are composite operations. So soft open and soft
close are also composite operations which will exist at
various thresholds. Equality may be viewed among all
soft morphological operations. In the same way duality
also will exist for all soft morphological operations
because duality will exist for all morphological
operatons,for example dual of erosion is dilation ,dual
of dilation is erosion,dual of open is close and dual of
close is open. In this paper, duality is discussed in soft
close operations , in multi scale as well as iterative
environment.. A very important point is that equality
does not exist in mathematical morphology but will
exist in soft mathematical morphology. So various duals
will occur for each soft morphological operation.
References
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2) Matheron - Mathematical Morphology
3) Robert. M. Haralick, Stanley R. Sternberg, Xinhua Zhuang
(July 1987) Image Analysis using Mathematical Morphology,
IEEE Transactions on PAMI, Vol. 9, No. 4.
4) H. J. A. M. Heijmans and C. Ronse. (1990) The Algebraic
Basis of Mathematical Morphology. 1. Dilations and Erosions,
IEEE Transactions on Computer Vision, Graphics and Image
Processing
5) Michel A. Zmoda and Louis. A.Tamburino – Efficient
algorithms for the soft morphological operators. --- IEEE Tr. of
Pami – Vol. 18 - No.11 November 1996.
6) A generalized approach for handling equality and duality
properties in soft morphology…PhD thesis of KOMPELLA
VENKATA RAMANA
7) Dr.KOMPELLA VENKATA RAMANA ... ...EQUALITY IN
BETWEEN ITERATIVE SOFT EROSION , ITERATIVE SOFT
OPEN IN MULTI SCALE ENVIRONMENT....
INTERNATIONAL JOURNAL OF RESEARCH IN
ENGINEERING AND TECHNOLOGY.....IJRET.
... VOL 5,ISSUE 4,APR 16.
8) Dr.KOMPELLA VENKATA RAMANA ... ...EQUALITY IN
BETWEEN ITERATIVE SOFT OPEN AND ITERATIVE SOFT
CLOSE IN MULTI SCALE ENVIRONMENT.... IMPERIAL
JOURNAL OF INTERDESCIPLINARY RESEARCH
.....IJIR....VOL 2,ISSUE 6,2016
9) Dr.KOMPELLA VENKATA RAMANA ... ...EQUALITY IN
BETWEEN ITERATIVE SOFT EROSION, ITERATIVE SOFT
DILATION IN MULTI SCALE ENVIRONMENT........
INTERNATIONAL JOURNAL OF COMPUTER SYSTEMS
.....IJCS.....VOL 3,ISSUE 4,APRIL 16
10) Dr.KOMPELLA VENKATA RAMANA ... ...MULTIPLE
DUALS IN SOFT DILATION IN MULTI SCALE SOFT
MORPHOLOGICAL ENVIRONMENT........ INTERNATIONAL
JOURNAL OF INNOVATIVE RESEARCH IN
SCIENCE,ENGINEERING AND TECHNOLOGY .....IJIRSET.....
VOLUME 5,ISSUE 4,APRIL 16.
11) Dr.KOMPELLA VENKATA RAMANA ... ...MULTIPLE
DUALS IN SOFT EROSION IN MULTI SCALE SOFT
MORPHOLOGICAL ENVIRONMENT........ INTERNATIONAL
JOURNAL FOR SCIENCE AND ADVANCE RESEARCH IN
TECHNOLOGY .....IJSART....
. VOL 2,ISSUE 4,APRIL 16
12) Dr.KOMPELLA VENKATA RAMANA ... ... EQUALITY
IN BETWEEN SOFT OPEN AND SOFT CLOSE IN MULTY
SCALE ENVIRONMENT........ INTERNATIONAL JOURNAL
FOR SCIENCE AND ADVANCE RESEARCH IN
TECHNOLOGY .....IJSART.....
VOL 2, ISSUE 3, MARCH 16
13) Dr.KOMPELLA VENKATA RAMANA ... DUALITY IN
SOFT EROSION IN MULTI SCALE SOFT
MORPHOLOGICAL ENVIRONMENT.........
INTERNATIONAL JOURNAL OF ADVANCED RESEARCH
IN COMPUTER SCIENCE AND SOFT WARE ENGINEERING
.....IJARCSSE....
VOL 6, ISSUE 2, FEB 16
14) Dr.KOMPELLA VENKATA RAMANA ...EQUALITY IN
SOFT EROSION AND SOFT DILATION IN MULTY SCALE
ENVIRONMENT........ INTERNATIONAL JOURNAL OF
ADVANCED RESEARCH IN COMPUTER AND
COMMUNICATION ENGINEERING.....IJARCCE.... VOLUME
5,ISSUE 2,FEB 16.
15) Dr.KOMPELLA VENKATA RAMANA ... DUALITY IN
SOFT DILATION IN MULTI SCALE SOFT
MORPHOLOGICAL ENVIRONMENT.........
INTERNATIONAL ADVANCED RESEARCH JOURNAL IN
SCIENCE , ENGINEERING AND TECHNOLOGY.......
IARJSET .......VOLUME 3,ISSUE 2,FEB 16.
Keywords
Mathematical morphology,
Mathematical soft morphology, Soft morphology,
Erosion, Dilation, Soft erosion, Soft dilation, Primitive
morphological operation, equality, threshold , Multi
scale morphology, soft open, soft close.