【摘要】 本文利用线性系统理论对Davis所采用的自子树量化 (SQS)小波 分形变换图像编码算法进行了深入分析 ,发现编码过程实际上就是对动力系统的参数进行编码 ,并且SQS变换的吸引子与动力系统的稳定状态具有一致性 .线性系统的观点表明序列和收敛性可以利用线性系统的稳定性理论来加以研究 .于是根据线性控制理论的某些结论 ,我们提出了用系统的特征值来分析小波 分形变换编码的解码收敛性 ,同时给出了收敛的充要条件以及终值压缩收敛的充分条件 .更多还原

【Abstract】 In this paper,we analyzed the Self Quantization of Subtrees(SQS) in Wavelet Fractal transform for image coding algorithm of Davis by using the Linear System Theory.We find that the encoding process is done by encoding the parameters of this dynamical system and there is an equivalence of the attractor of a SQS transformation and the steady state of a dynamical system.From the system point of view.the convergence of a sequence is extensively studied in terms of the stability of its generating system.So,according to some results of the linear control theory,we propose that using the eigenvalues of system provides a more powerful tool for analysis of convergence in attractor decoders.We also give the sufficient necessary condition of convergence and the sufficient condition of eventually contractive convergence.更多还原