Fuzzy transforms in image compression and fusion

Irina Perfilieva

Acta Mathematica Universitatis Ostraviensis (2007)

  • Volume: 15, Issue: 1, page 27-37
  • ISSN: 1804-1388

Abstract

top
An overview of direct and inverse fuzzy transforms of three types is given and applications to data processing are considered. The construction and some important properties of fuzzy transforms are presented on the theoretical level. Three applications of F -transform to data processing have been chosen: compressional and reconstruction of data, removing noise and data fusion. All of them successively exploit the filtering property of the inverse fuzzy transform.

How to cite

top

Perfilieva, Irina. "Fuzzy transforms in image compression and fusion." Acta Mathematica Universitatis Ostraviensis 15.1 (2007): 27-37. <http://eudml.org/doc/35170>.

@article{Perfilieva2007,
abstract = {An overview of direct and inverse fuzzy transforms of three types is given and applications to data processing are considered. The construction and some important properties of fuzzy transforms are presented on the theoretical level. Three applications of $F$-transform to data processing have been chosen: compressional and reconstruction of data, removing noise and data fusion. All of them successively exploit the filtering property of the inverse fuzzy transform.},
author = {Perfilieva, Irina},
journal = {Acta Mathematica Universitatis Ostraviensis},
keywords = {fuzzy transform; fuzzy partition; compression; fusion; fuzzy transform; fuzzy partition; compression; fusion},
language = {eng},
number = {1},
pages = {27-37},
publisher = {University of Ostrava},
title = {Fuzzy transforms in image compression and fusion},
url = {http://eudml.org/doc/35170},
volume = {15},
year = {2007},
}

TY - JOUR
AU - Perfilieva, Irina
TI - Fuzzy transforms in image compression and fusion
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2007
PB - University of Ostrava
VL - 15
IS - 1
SP - 27
EP - 37
AB - An overview of direct and inverse fuzzy transforms of three types is given and applications to data processing are considered. The construction and some important properties of fuzzy transforms are presented on the theoretical level. Three applications of $F$-transform to data processing have been chosen: compressional and reconstruction of data, removing noise and data fusion. All of them successively exploit the filtering property of the inverse fuzzy transform.
LA - eng
KW - fuzzy transform; fuzzy partition; compression; fusion; fuzzy transform; fuzzy partition; compression; fusion
UR - http://eudml.org/doc/35170
ER -

References

top
  1. R. P. Dilworth M. Ward, 10.1090/S0002-9947-1939-1501995-3, Trans. Amer. Math. Soc. 45 (1939) 335-354. (1939) MR1501995DOI10.1090/S0002-9947-1939-1501995-3
  2. K. Hirota, W. Pedricz, 10.1109/3477.764876, IEEE Trans. Syst., Man, Cyber. 29 (1999) 407-415. (1999) DOI10.1109/3477.764876
  3. V. Loia, S. Sessa, Fuzzy relation equations for coding/decoding processes of images and videos, Information Sciences, 2005, to appear. Zbl1078.68815MR2123815
  4. I. Perfilieva, E. Haldeeva, Fuzzy Transformation, In: Proc. IFSA'2001 World Congress, Vancouver, Canada, July 25-28, 2001. 
  5. I. Perfilieva, Fuzzy Transform: Application to Reef Growth Problem, In: Fuzzy Logic in Geology (R. B. Demicco and G. J. Klir, Eds.), Academic Press, Amsterdam 2003, pp. 275-300. 
  6. Perfilieva I., R. Valášek, Fuzzy Transforms in Removing Noise, In: Computational Intelligence, Theory and Applications ( B. Reusch, Ed.), Springer, Heidelberg, 2005, pp. 225-234. 
  7. I. Perfilieva, 10.1016/j.fss.2005.11.012, Fuzzy Sets and Systems, 157 2006, 993-1023. Zbl1092.41022MR2218243DOI10.1016/j.fss.2005.11.012
  8. I. Perfilieva, Fuzzy Transforms and Their Applications to Image Compression, In: Fuzzy Logic and Applications (I. Bloch, A. Petrosino, A. Tettamanzi, Eds.), LNAI 3849, 6th Int. Workshop WILF 2005, Crema, Italy, 2005, pp. 19-31. Zbl1168.68383
  9. M. Štěpnička, R. Valášek, Fuzzy Transforms for Functions with Two Variables, In: Methods for Decision Support in Environment with Uncertainty - Applications in Economics, Business and Engineering (J. Ramík and V. Novák, Eds.), University of Ostrava, IRAFM, 2003, pp. 96-102. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.