基于D9/7小波变换的自适应方向提升多小波算法  

Adaptive Direction Lifting Multiwavelet Algorithm Based on D9/7 Wavelet Transform

作　　者：方志军[1] 高永彬[1] 舒雷[1] 焦焰斌[1] 

机构地区：[1]江西财经大学信息管理学院,江西南昌330013

出　　处：《激光与光电子学进展》2012年第7期81-86,共6页Laser & Optoelectronics Progress

基　　金：国家自然科学基金(60862002)资助项课题

摘　　要：提出一种自适应方向提升多小波的算法,结合多小波变换的对称性、正交性、紧支性、高阶消失矩以及自适应算法的方向性特征,提高图像压缩的性能。传统的多小波变换只考虑水平与垂直两个方向上的变换,而自适应提升多小波利用图像局部的方向特征寻找像素点之间的相关性,从而减少编码时的预测误差。利用两个D9/7单小波构造提升多小波,并结合率失真(RD)模型自适应地进行提升方向的选择,在减少预测误差与编码比特率之间进行折中选择。实验结果表明,自适应方向提升多小波比传统的提升多小波具有更好的编码性能。An adaptive direction lifting multiwavelet algorithm is proposed,which combines the symmetry,orthogonality,short support set,high-order vanishing moment of multiwavelet with the directional characteristics of adaptive algorithm,therefore it improves the performance of image compression.The traditional multiwavelet transform only considers the vertical and horizontal direction transform,while adaptive lifting multiwavelet algorithm utilizes more local direction features of the image to look for the correlation between the pixels,so as to reduce the prediction errors of encoding.We use two D9/7 wavelets to construct a lifting multiwavelet,in combination with rate-distortion（RD） model to adaptively choose the lifting direction of the local region of the image,which makes a balance between reducing the prediction error and coding bit rate.Experimental results show that adaptive direction lifting multiwavelet has a better performance than the traditional lifting multiwavelet in image coding.

关 键 词：图像处理 自适应 提升多小波 D9/7 

分 类 号：TP751.1[自动化与计算机技术—检测技术与自动化装置]