The interpolation fractal decoding method, which is introduced by [He C, Yang SX, Huang X. Progressive decoding method for fractal image cornpression. IEE Proc Vis Image Signal Process 2004;3:207-13], involves generating progressively the decoded image by means of an interpolation iterative procedure with a constant parameter. It is well-known that the majority of image details are added at the first steps of iterations in the conventional fractal decoding; hence the constant parameter for the interpolation decoding method must be set as a smaller value in order to achieve a better progressive decoding. However, it needs to take an extremely large number of iterations to converge. It is thus reasonable for some applications to slow down the iterative process at the first stages of decoding and then to accelerate it afterwards (e.g., at some iteration as we need). To achieve the goal, this paper proposed an interpolation decoding scheme with variable (iteration-dependent) parameters and proved the convergence of the decoding process mathematically. Experimental results demonstrate that the proposed scheme has really achieved the above-inentioned goal. (c) 2005 Published by Elsevier Ltd.
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机译：[He C，Yang SX，Huang X介绍的插值分形解码方法。分形图像压缩的渐进解码方法。 IEE Proc Vis Vis Image Signal Process 2004; 3：207-13]涉及通过具有恒定参数的内插迭代过程逐步生成解码图像。众所周知，在传统的分形解码中，大多数图像细节是在迭代的第一步添加的;因此，因此，必须将用于内插解码方法的常数参数设置为较小的值，以实现更好的逐行解码。但是，它需要进行大量的迭代才能收敛。因此，对于某些应用程序来说，在解码的第一阶段减慢迭代过程，然后在随后加速（例如，根据需要进行一些迭代）是合理的。为了达到这个目的，本文提出了一种具有可变（迭代依赖）参数的插值解码方案，并通过数学方法证明了解码过程的收敛性。实验结果表明，该方案确实达到了上述目的。 （c）2005由爱思唯尔有限公司出版。
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