整型DCT变换在医学图像无损压缩中的研究与应用

本论文主要研究并实现了一种基于整型DCT的对图像进行无失真编码的方法。其主要思想为：先在整型FFT基础上构造可逆的DCT整型变换，变换后的数据再用SPIHT算法处理，最后进行算术编码。首先在图像变换和无失真编码等相关图像处理知识的基础上，结合前人的研究经验，对设计进行了理论推导和论证并将其归纳为数学模型，总结出适用算法，并编程实现并证明该方法且具有良好的压缩性能。

Research and Application of Medical Image Lossless Compression Based on Integer DCT

In this paper, the author has researched and realized a kind of scheme about image lossless coding based on integer DCT.The main idea of which is as follows： firstly, designed reversible integer DCT based on integer FFF.Secondly, dealt with the DCT data by SPIHT.Finally, encoded the data by Arithmetic Coding.In this paper, the author deducted and proved this theory based on the research wok of other people and the basic knowledge of digital image processing, and then transformed them into mathematical model and suitable algorithms, and finished this system by computer.This lossless coding system based on integer DCT obtained higher compression performance.