Generalized fractal-wavelet transforms for image representation and compression

Author

Vrscay, E.R. ; Mendivil, F.

Author_Institution

Dept. of Appl. Math., Waterloo Univ., Ont., Canada

Volume

2

fYear

1997

fDate

25-28 May 1997

Firstpage

490

Abstract

In this paper a set of generalized 2D fractal-wavelet transforms is introduced. Their primary difference from the usual transforms lies in treating “horizontal”, “vertical” and “diagonal” quadtrees independently. Although more parameters are required, the added flexibility makes it quite tractable for image compression. Even the possibility of independent scaling factors but common parent blocks for the three sets of quadtrees gives excellent approximations with quite high compression ratios

Keywords

data compression; fractals; image coding; image representation; quadtrees; transform coding; wavelet transforms; 2D fractal-wavelet transforms; common parent blocks; diagonal quadtrees; generalized fractal-wavelet transforms; high compression ratio; horizontal quadtrees; image compression; image representation; independent scaling factors; vertical quadtrees; Fractals; Image coding; Image representation; Marine vehicles; Mathematics; Pixel; Tensile stress; Wavelet coefficients; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering, 1997. Engineering Innovation: Voyage of Discovery. IEEE 1997 Canadian Conference on

Conference_Location

St. Johns, Nfld.

ISSN

0840-7789

Print_ISBN

0-7803-3716-6

Type

conf

DOI

10.1109/CCECE.1997.608265

Filename

608265