Presentation 2003/1/28
A Note on Expansion Technique for Self-Affine Fractal Objects Using Extended Fractal Interpolation Functions
Satoshi UEMURA, Miki HASEYAMA, Hideo KITAJTMA,
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Abstract(in English) This paper presents a novel expansion technique for self-affine fraetal objects using Extended Fractal Interpolation Functions (EFIF). When EFIF is applied to a given object, the map parameter, which play a significant role to represent the object, must be determined by solving the inverse problem. However, the inverse problem concerned with the expanded object which associates with the given object cannot be solved, since the expanded object includes unknown data which must be interpolated. Therefore, in this paper, we demonstrate a flexible property that the map parameter concerned with the expanded object can be simply described by using those concerned with the given object. Using such flexible property in our EFTF, a given .self-affine fractal object can be easily expanded with an arbitrary rate.
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Keyword(in English) FIF / fractal / interpolation / expansion / self-affinity
Paper # ITS2002-98,IE2002-239
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Conference Date 2003/1/28(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Note on Expansion Technique for Self-Affine Fractal Objects Using Extended Fractal Interpolation Functions
Sub Title (in English)
Keyword(1) FIF
Keyword(2) fractal
Keyword(3) interpolation
Keyword(4) expansion
Keyword(5) self-affinity
1st Author's Name Satoshi UEMURA
1st Author's Affiliation Graduate School of Engineering, Hokkaido University()
2nd Author's Name Miki HASEYAMA
2nd Author's Affiliation Graduate School of Engineering, Hokkaido University
3rd Author's Name Hideo KITAJTMA
3rd Author's Affiliation Graduate School of Engineering, Hokkaido University
Date 2003/1/28
Paper # ITS2002-98,IE2002-239
Volume (vol) vol.102
Number (no) 632
Page pp.pp.-
#Pages 6
Date of Issue