Duality of Iterative Soft Close in Multi Scale Soft Morphological Environment

  IJCTT-book-cover
 
International Journal of Computer Trends and Technology (IJCTT)          
 
© 2016 by IJCTT Journal
Volume-36 Number-1
Year of Publication : 2016
Authors : Kompella venkata ramana
DOI :  10.14445/22312803/IJCTT-V36P105

MLA

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
1) J. Serra-Image Analysis and Mathematical Morphology. 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.