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一种基于小波变换的图象分形编码压缩算法的研究

谢永华1, 傅德胜1, 任卫华2(1.南京气象学院计算机科学系,南京 210044;2.江苏省气象台信息网络中心,南京 210008)

摘 要
有效的编码压缩算法是图象数据存储和传输的关键.为了更方便地进行图象存储和传输,在分析基本分形编码 (FCC)压缩算法优缺点的基础上,提出了一种新的结合小波变换的图象分形编码 (DWT- FCC)压缩算法,该算法首先对图象进行二级小波变换分解,然后对分解后的高层子图象进行基本分形编码,并根据不同层子图象结构间的相似性,通过高层分形编码来构造低层子图象分形编码,以实现图象的编码压缩.实验结果表明,该算法在缩短图象编码时间和提高压缩比方面,均取得了良好的效果.
关键词
A Fractal Image Coding Algorithm Research Based on Wavelet Transformation

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Abstract
Efficient encoding algorithm is the key factor for image to store and transmit. In order to make it more convient and efficient for image to store and transmit, several kinds of methods have been practised in the past. Among these methods, wavelet transform alogrithm and fractal encoding alogrithm are the two main methods for image processing and have recently received considerable attention. In this paper, with analyzing the merit and disadvantage of basic fractal encoding algorithm, a new fractal encoding method based on wavelet transform has been proposed. Through the two algorithm, a digital image is firstly decomposed into four subband images with two scale wavelet transform, one of them is high frequency part and the others are low ones, then according to the likeness of structure between different level subband image, we apply the basic fractal coding to the decomposed high level subband image and construct the low level fractal codes with the high ones. Satisfactory and effective results have been obtained by analyzing the course of the experiments with the two related alogrithm, especially in shortening the encoding time and improving the compression rate.
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