基于快速G小波变换的图像压缩及放大

IMAGE COMPRESSION AND AMPLIFICATION BASED ON FAST G-WAVELET TRANSFORMATION

本文采用离散小波变换的方法，利用Ｇ小波变换（ＧＷＴ）对ＴＩＦＦ格式的灰度图象进行了压缩及放大。利用Ｇ小波基函数的性质，提出了快速Ｇ小波变换的实现方案（ＦＧＷＴ），使得Ｇ小波变换的速度得到了显著的提高；另外，对Ｇ小波变换进行了一些改进，使图象可以按任意比例进行压缩及放大；在小波变换后，对数据进行了量化处理，提高了图象的保真度。

G-wavelet transformation is used for compressing and amplifing TIFF greyscal image by discrete wavelet transformation method in this paper. Fast G-wavelet Transformation method is presented by using properties of G-wavelet base function so that the speed of G-wavelet transformation is increased dramatically. Moreover, G-wavelet transformation is improved, therefor, images are compressed and amplified according to arbitrary scale. A high fidelity of image is obtained through processing data by quantification after G-wavelet transformation.