Image block coding using exact solutions of fractal equations

Ying Liu

doi:10.1117/12.211970

16 June 1995 Image block coding using exact solutions of fractal equations

Ying Liu

Proceedings Volume 2488, Visual Information Processing IV; (1995) https://doi.org/10.1117/12.211970
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

In this paper, we will first briefly review fractal equations, then we will present an algorithm for solving encoding equations of class 2 fractals. The idea is to represent images in terms of blocks in a similar way as JPEG. the DCT in JPEG is replaced by fractal transformation. Image compression ratios for various selections of block size and parameter space will be calculated. Thirdly, we will study the simplest IFS, a 1D IFS with two mappings. We will introduce several new concepts: the base language of fractals and the canonical order of fractals. The cardinality of the base language is derived. How base language is used to infer an IFS is discussed.

Citation Download Citation

Ying Liu "Image block coding using exact solutions of fractal equations", Proc. SPIE 2488, Visual Information Processing IV, (16 June 1995); https://doi.org/10.1117/12.211970

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