Presentation 1997/6/20
Extension of The Collage Theorem
Hiroyuki Honda, Miki Haseyama, Hideo Kitajima,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Fractal image compression using the IFS is based on the collage theorem proposed by M. F. Barnsley. 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.
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Keyword(in English) fractal / iterated function system (IFS) / collage theorem / extended collage theorem
Paper # IE97-19
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Committee IE
Conference Date 1997/6/20(1days)
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Registration To Image Engineering (IE)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Extension of The Collage Theorem
Sub Title (in English)
Keyword(1) fractal
Keyword(2) iterated function system (IFS)
Keyword(3) collage theorem
Keyword(4) extended collage theorem
1st Author's Name Hiroyuki Honda
1st Author's Affiliation School of Engineering, Hokkaido University()
2nd Author's Name Miki Haseyama
2nd Author's Affiliation School of Engineering, Hokkaido University
3rd Author's Name Hideo Kitajima
3rd Author's Affiliation School of Engineering, Hokkaido University
Date 1997/6/20
Paper # IE97-19
Volume (vol) vol.97
Number (no) 123
Page pp.pp.-
#Pages 6
Date of Issue