圆谐-傅立叶矩图像重建误差分析  

RADIAL-HARMONIC-FOURIER MOMENTS ANALYSIS WITH IMAGE RECONSTRUCTION ERROR

作　　者：海鹰[1] 姜红军[1] 平子良[1] 

机构地区：[1]内蒙古师范大学物理系,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2003年第4期347-349,共3页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(620620001);内蒙古自然科学基金资助项目(20001301);内蒙古教育厅科研基金项目(ZD01025);内蒙古师范大学青年基金项目(QN00301)

摘　　要：讨论了用低阶圆谐-傅立叶矩重建图像时的固定图像重建误差和平稳随机场重建误差,给出固定图像重建误差函数和统计性误差函数的图形,并对误差进行了分析.结果表明,随着阶数的升高固定图像重建误差迅速下降,而且大图像的误差小于小图像;统计性归一化重建误差也随着矩数的增加明显减小.Taking Radial-Harmonic-Fourier Moments as the image feature,we analyze the Chinese character by means of specific images reconstruction error and a random reconstruction error of steady field.We use the lower order of moments reconstructing the specific image,defining the normalized image reconstruction error and a steady field at random reconstruction error,and providing the graphs of specific images reconstruction functions and the statistical error functions.The experiments proved that when the order number were getting higher,the specific image reconstruction error reduced dramatically,the error in the large image were smaller then the small image,the normalizing statistical reconstruction was also becoming less apparently with the increase of order number.Hence,Radial-Harmonic-Fourier Moments is suitable for image description and discern.We can use a very little Radial-Harmonic-Fourier Moments data assemblage representing and describing an image.

关 键 词：圆谐-傅立叶矩 固定图像重建误差 平稳随机场重建误差 模式识别 矩不变量 图形信息处理 

分 类 号：TN911.73[电子电信—通信与信息系统] O438.2[电子电信—信息与通信工程]