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Wavelets and Fractal Image Compression Based on Their Self—Similarity of the Space-Frequency Plane of Images

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Wavelet Analysis and Its Applications (WAA 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2251))

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Abstract

This paper presents a fusion scheme for Wavelets and Fractal image compression based on the self-similarity of the space-frequency plane of sub-band encoded images. Various kinds of Wavelet transform are examined for the characteristics of their self-similarity and evaluated for the adoption of Fractal modeling. The aim of this paper is to reduce the information of the two sets of blocks involved in the Fractal image compression by using the self-similarity of images. And also, the new video encoder using the fusion method of Wavelets and Fractal adopts the similar manner as the motion compensation technique of MPEG encoder. Experimental results show almost the same PSNR and bits rate as conventional Fractal image encoder depending on the sampled images by computer simulations.

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References

  1. Stollinitz, E. J., et al.: Wavelets for Computer Graphics: A Premier Pt.1. IEEE Computer Graphics & Application, (May, 1995), 76–84

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Author information

Authors and Affiliations

  1. Graduate School of Engineering, SOKA University, 1-236 Tangi-cho Hachioji-shi, 192-8577, Tokyo, Japan

    Yoshito Ueno

Authors
  1. Yoshito Ueno
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong

    Yuan Y. Tang , Pong C. Yuen  & Chun-hung Li ,  & 

  2. Department of Mathematics, Washington University, Cupples I, Campus Box 1146, 63130, St. Louis, Missouri, USA

    Victor Wickerhauser

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© 2001 Springer-Verlag Berlin Heidelberg

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Ueno, Y. (2001). Wavelets and Fractal Image Compression Based on Their Self—Similarity of the Space-Frequency Plane of Images. In: Tang, Y.Y., Yuen, P.C., Li, Ch., Wickerhauser, V. (eds) Wavelet Analysis and Its Applications. WAA 2001. Lecture Notes in Computer Science, vol 2251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45333-4_13

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  • DOI: https://doi.org/10.1007/3-540-45333-4_13

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43034-6

  • Online ISBN: 978-3-540-45333-8

  • eBook Packages: Springer Book Archive

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