一种自适应最优化小波变换算法及应用

传统的二进小波变换对非2的整数幂的数据要进行大量的边界处理,针对这一局限性,提出一种自适应最优化小波变换算法.其核心是通过解析被处理数据长度来捕获其长度的最佳逼近值,实现边界处理的最优化;通过分解最佳逼近长度来获取各层次小波变换基数,实现小波变换基数选择的自适应.与二进小波变换相比,自适应最优化小波变换算法具有运算速度快,边界处理量少,数据压缩量大等特点.最后通过一个图像压缩的应用实例表明了此算法的可行性.

An adaptive optimization wavelet transform algorithm and its application

For the traditional dyadic wavelet transform,a lot of boundary treatments are needed when the data length is not 2 of integer power.Aiming at such a limitation,a new adaptive optimization wavelet transform algorithm was proposed.The core idea is analyzing the pending data to obtain the optimal approximate length,hence optimize the boundary treatment,while analyzing the optimal approximate length to select the wavelet transform bases adaptively.Compared with the traditional dyadic wavelet transform,the proposed algorithm hashigher speed,less boundary treatment,and greater data compression,etc.An image compression example was given to demonstrate the feasibility of the proposed algorithm.