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基于相关系数的快速分形图像编码

Fast Fractal Image Encoding Based on Correlation Coefficients

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【作者】 许晓曾何传江

【Author】 XU Xiao-zeng, HE Chuan-jiang(College of Mathematics and Physics, Chongqing University, Chongqing 400044, China)

【机构】 重庆大学数理学院重庆大学数理学院 重庆400044重庆400044

【摘要】 形图像编码是一种有效压缩技术。在分形编码中 ,一幅图像由一个不动点接近原始图像的压缩变换来编码 ,然后由源于Banach不动点定理的迭代过程来解码。该文提出了快速分形图像编码的一种基于相关系数的编码方案 ,不需要改变现有的分形解码过程。该方案基于这样的假设 ,两个等尺寸的子块不能组成匹配对 ,除非它们的相关系数相对较大。它能够以直接的方式融入其它的分形编码算法。计算机仿真显示 ,对 8幅复杂性不同的测试图像 ,该文算法能够平均加快编码 3倍或更多 ,同时PSNR (peaksignal-to -noiseratio)平均下降不到 0 .1dB ,且主观质量有时甚至好于基本分形算法

【Abstract】 Fractal image coding is an efficient compression technique, in which an image is encoded by a contractive transformation whose fixed point is close to the original image, and then is decoded by using the iteration procedure stemmed from the well-known Banach fixed-point theorem. This paper proposes a correlation-coefficients-based scheme for fast fractal image encoding, which does not need to change the existing fractal decoding procedure. The proposed scheme is based on the hypothesis that two equal-sized image blocks cannot be closely matched unless their correlation coefficient is relatively large. It can be employed by the other fractal image encoding algorithms in a straightforward manner. Computer simulations on 8 test images with different complexities demonstrate that the proposed scheme could achieve averagely a speedup of 3 times or more, while it averagely gives an insignificant decrease of less than 0.10dB in the PSNR (the peak signal-to-noise ratio) and sometimes subjective qualities of the decoded image are even better than that using the corresponding baseline fractal algorithm.

【基金】 重庆大学应用基础研究项目 ( 713 4110 0 3 )
  • 【文献出处】 计算机仿真 ,Computer Simulation , 编辑部邮箱 ,2004年11期
  • 【分类号】TN919.81
  • 【被引频次】13
  • 【下载频次】149
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