为了降低纯2维Coifman 小波分解和重构的运算量，提出了一种纯2维Coifman 小波的提升格式。由于纯2维Coifman 小波在完全重建性、消失矩、滤波器钻石型频带以及二进分母系数等方面具有突出的优点，使其在图像压缩编码中具有相当的竞争性。该提升格式既适用于图像的有损压缩，只要稍改变归一化系数，又适用于图像的无损压缩，同时还保持了1维小波提升格式在运算量和边界处理等方面所具有的优势，纯2维Coifman小波提升格式中的预测算子和更新算子所具有的特性为直接构造纯2维小波滤波器组提供了理论指导。仿真试验显示，纯2维Coifman 小波滤波器组比用相同1维原型滤波器组构造的纯2维小波滤波器组压缩效果好。

In this paper we propose the lifting scheme of true 2D coifman wavele to reduce half computation compared with it directly be used to decomposition and reconstruction 2D data. True 2D coifman wavelet has many favourable properties such as perfect reconstruction, vanishing moments, diamond frequency response and dyadic fractions etc., this makes this method competitive in image compression property preservation. Simply by changing normalizing factor, this lifting scheme can be used for lossy and lossless image compression and at the same time it keeps advantages of 1D wavelet lifting scheme at computation and border extension aspects. The characteristics of prediction and update operators in true 2D coifman wavelet lifting scheme provide guidance for constructing true 2D wavelet filter banks. Simulation results show that true 2D coifman wavelet filter bank has nicer compression property than another 2D wavelet filter bank constructed by the same 1D prototype wavelet filter bank.