数字图像连续表示及应用  

Continuous Representation of Digital Image and Its Application

作　　者：娄联堂[1] 但威 陈佳骐 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2016年第1期136-140,共5页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(60975011);中南民族大学中央高校基本科研业务费专项资金资助项目(YZZ13003;CZW15051)

摘　　要：研究了离散图像的连续表示及重建问题.首先利用弦理论,给出了图像的连续表示形式,然后利用付里叶变换实现了图像连续表示及重建的快速算法,接着将它们应用于图像无级缩放、图像平滑、边缘检测、角点检测,并与传统离散图像处理方法的实验结果进行了比较.实验结果表明:利用图像连续表示方法处理离散图像可以得到不差于传统的离散图像处理方法处理的结果,此方法使离散图像的解析法处理成为可能.The continuous representation and reconstruction of discrete image are studied. Firstly, the continuous representation of image is given by string theory. Then, the fast algorithm of continuous image representation and reconstruction are implemented by Fourier transform. Next, the algorithm is applied to image zooming, image smoothing, edge detection and corner detection. Finally, the algorithm is compared with traditional discrete image processing method by some experiments. The results show that the effect of this method is not worse than the traditional discrete image processing method. The method makes it possible to process discrete image analytically.

关 键 词：离散图像的连续表示 图像重建 边缘检测 角点检测 图像平滑 

分 类 号：TP751.1[自动化与计算机技术—检测技术与自动化装置]