DocumentCode :
318308
Title :
Extension of the collage theorem
Author :
Honda, H. ; Haseyama, M. ; Kitajima, H. ; Matsumoto, S.
Author_Institution :
Sch. of Eng., Hokkaido Univ. Sapporo, Japan
Volume :
2
fYear :
1997
fDate :
26-29 Oct 1997
Firstpage :
306
Abstract :
Fractal image compression using the iterative function system (IFS) is based on the collage theorem proposed by Barnsley et al. (1986). In this conventional method, the errors between the reconstructed image and original image may be greater than the errors between the collage and original image because the collage theorem does not guarantee the former errors to be smaller than the latter errors. This paper proposes an extended collage theorem. An IFS algorithm based on this theorem determines the parameters after iterations of the contraction mappings. An image reconstructed according to the new theorem has higher quality than one based on the existing collage theorem. The reconstructed image can be gotten by fewer iterations than by the conventional IFS
Keywords :
data compression; error analysis; fractals; image coding; image reconstruction; iterative methods; IFS algorithm; collage theorem; contraction mappings; errors; extended collage theorem; fractal image compression; iteration; iterative function system; quality; reconstructed image; Equations; Extraterrestrial measurements; Fractals; Image coding; Image reconstruction; Research and development;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Image Processing, 1997. Proceedings., International Conference on
Conference_Location :
Santa Barbara, CA
Print_ISBN :
0-8186-8183-7
Type :
conf
DOI :
10.1109/ICIP.1997.638752
Filename :
638752
Link To Document :
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