图像小波变换实现及EZW编码理论研究.doc

论文题目： 图像小波变换实现及EZW编码理论研究 专业班级： 学 号： 学 生： 签名： 指导教师： 签名： 摘 要 21世纪，人类已进入信息化时代，其中图像信息是人类获得外界信息的主要来源，因此对图像的处理变得更为重要。而小波变换以其良好的空间——频域局部特性，能对图像进行有效的处理。 本文研究的是小波变换在数字图像处理中的应用，文中介绍了数字图像处理的基本概念和小波变换的基本理论。基于图像小波理论，对图像小波变换的实现技术——Mallat算法进行了分析，并根据Mallat算法应用VC++编程实现了图像小波变换。Mallat算法是将计算小波系数与信号处理中滤波器相结合，构成塔式分解算法，大大简化了小波系数的计算。嵌入式小波零树系数编码（EZW）是将小波变换的各子带系数表示为零树结构。EZW是一种简单而有效的图像编码算法。使用这种算法，编码者可在任一点结束编码，所以允许精确达到一个目标比率，而这时仍能产生同样的图像。 【关键词】 图像处理、小波变换、压缩编码、EZW 【论文类型】软件设计与理论研究 Title: The Realization of Image Wavelet Transformation and The Coding Theory Research of EZW Major: Electronic information of science and technology Name: Signature: Name: Signature: ABSTRACT In the 21st, man being steps into an era of information. In which image information become the main origin of obtain information from outside. So processing image information become more important. Wavelet transform has wonderful space and frequency, so it can deal with the image effectively. The main topic article discuss is wavelet transform the application of image processing. In the article introduces the basic conception of data image processing and the basic theory of wavelet transform. Based on the image wavelet transform theory, the realize of the image wavelet transform technology——analysis on Mallat algorithm, and basis on Mallat algorithm that use the software of VC++ realize of the image wavelet transform. Mallat algorithm is using the wavelet coefficients and the filter of signal processing, so it greatly simplified the computing of wavelet coefficients algorithm. EZW code is the structure which is a simple and effective image coding algorithm with which an encoder can terminate the encoding at any point thereby allowing a target rate or distortion metric to be met exactly. 【Key words】 image process, wavelet transform, image compression, EZW 【Type of Thesis】software design and theory research Shapiro提出了嵌入式小波零树编码