灰色预测模型在数字图像处理中的应用

【作者】 何仁贵；

【导师】 黄登山；

【作者基本信息】 西北工业大学 ， 通信与信息系统， 2005， 硕士

【摘要】 随着网络与计算机的广泛应用,数字图像处理技术的发展变得越来越重要。近年来,人们将各种新的数学工具应用到图像处理领域,取得了许多有益的成果。灰色系统理论以其方便有效的建模方法,在许多领域获得了广泛的有效的应用,但是在图像处理领域却很少见。如何将灰理论与数字图像处理技术结合起来发展一种新的图像处理方法,是一个值得探讨的问题。 灰色系统理论是一门研究如何处理小数据量的系统理论。文章首先对数字图像的基本特点和一些处理方法的基本思想以及灰色系统理论的基本思想和一些重要的定义、定理进行了较深入地介绍;然后介绍了基于灰色预测模型的无损压缩方法和基于灰色预测模型的非线性图像滤波器设计方法。最后创造性的提出了基于灰色预测模型的图像边缘检测方法。这些方法都从理论和仿真结果两方面被证明是有效的。更多还原

【Abstract】 With the wide appliccition of the network and computer, the development of digital image processing technology becomes more and more important. In recent years, people apply various kinds of new mathematics tools to the image processing field, and have made a lot of helpful achievements. The grey system theory has found extensive application in a lot of fields with its convenient and effective modeling method, but rare in the field of image processing. How to combine grey theory and digital image processing technology together and develop a kind of new image process method, it is a question that is worth probing into.This paper has studied the application that the grey prediction models are in digital image processing. We have studied the basic characteristic of the digital image and the basic thoughts of some processing methods and the basic thought of the grey system theory and some important definitions and theorems at first. Then we introduced the digital image processing method based on the grey prediction model, including the lossless compressing method based on the grey prediction model, the non- linear image filter design method based on the grey prediction model. Finally, we are the first that presented the image edge detection based on grey prediction model. These methods have been proved that are effective from theory and simulation result.更多还原