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    Abstract:

    In this paper, a new fractal image coding algorithm is presented to process imag e coding by difference and approximation with various grey levels because the co ding time of classical fractal image coding algorithm is very long. In addition, some researches with respect to its feasibility in compression theory are also discussed and the theoretical foundation of the new algorithm is given. Based on the idea, a new concrete algorithm for realizing fractal image coding is design ed in the paper. The experimental results show that the new algorithm can improv e compression ratio and reconstruct high quality images while computational time of image coding is reduced greatly.

    Reference
    [1] Barnsley, M.F., Sloan, A.D. A better way to compress images. BYTE Magazine, 1988,13(1):215~223.
    [2] Mandelbrot, B.B. The Fractal Geometry of Nature. New York: W.H. Fre eman and Company, 1983.
    [3] Jacuqin, A.E. A fractal theory of iterated Markov operators with ap plications to digital image coding [Ph.D. Thesis]. Department of Mathemati cs, Georgia Institute of Technology, 1989.
    [4] Jacquin, A.E. Image coding based on a fractal theory of iterated co ntractive image transformations. IEEE Transactions on Image Processing, 1992,1(1 ):18~30.
    [5] Falconer, K J. Fractal Geometry——Mathematical Foundations and App lications. New York, NY: John Wiley and Sons, Inc., 1989.
    [6] Jacquin, A.E. Fractal image coding: a review. Proceedings of the IE EE, 1993,81(10):1451~1465.
    [7] Fang Yu-dong, Yu Ying-lin. A quick fractal image compression codi ng method. Atca Electronica Sinica, 1996,24(1):28~33 (in Chinese).房育栋,余英林.快速分形图像压缩编码.电子学报,1996,24(1):28~33
    [8] Wang Zhou, Yu Ying-lin. An image compression algorithm based on pa rtial fractal mapping. Computer Research and Development, 1998,35(3):199~204 (i n Chinese).王舟,余英林.图像的部分分形映射压缩算法.计算机研究与发展,1998,35(3): 199~204.
    [9] Lao Zhi-qiang, Pan Yun-he. A fast image compression algorithm bas ed on its block coding. Computer Research and Development, 1998,35(3):270~273 ( in Chinese).劳志强,潘云鹤.基于IFS块的快速图像编码方法.计算机研究与发展,1998,35( 3):270~273.
    [10] Beijing University's Higher Mathematical Teaching and Research Section T ranslated. Differential and Integral Course. Beijing: People's Educational Publi sher, 1979,2(2):378~392 (in Chinese).北京大学高等数学教研室译.微积分学教程.北京:人民教育出版社,1979,2(2):378~ 392
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赵德平,朱伟勇,苏畅,陈绯.差分与快速图象分形映射压缩算法.软件学报,2001,12(1):134-142

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History
  • Received:May 04,1999
  • Revised:September 28,1999
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