基于层次特征的自适应径向基插值图像放大的保真指标  

Fidelity Index in Image Magnification Based on Hierarchical Feature and Radial Basis Function

作　　者：李春景[1] 胡静[1] 唐枝 LI Chun-jing;HU Jing;TANG Zhi(School of Mathematical Science,Tongji University,Shanghai 200000,China)

机构地区：[1]同济大学数学科学学院,上海200000

出　　处：《计算机科学》2019年第4期254-260,共7页Computer Science

基　　金：NSFC-广东联合重点基金(U1135003)项目资助

摘　　要：图像作为一种重要的信息载体,在生活中不可或缺,如何最大程度地保留和获取图像中的信息自然也成了人们所关心的话题。近年来,径向基函数(RBF)插值成为解决散乱数据插值的一种新的有效方法。径向基函数的图像放大过程中,不同参数取值对图像的放大具有非常大的影响,构造适当的保真指标对图像放大质量的评判和参数取值的研究尤为关键。文中主要建立了基于图像的层次特征和分块矩阵的径向基函数插值的图像放大的保真指标,它由全局失真度和边缘失真度两部分组成,实验结果表明了保真指标定义的有效性,在此基础上研究了MQ、逆MQ,以及Gauss径向基函数参数与图像纹理放大机制的关联程度。As an important information carrier,image is indispensable in life,and how to retain and acquire the information in the image to the greatest extent has been a big topic for a long time.In recent years,radial basis function (RBF) interpolation has become a new effective method to solve the problem of scattered data interpolation.In the image magnification based on radial basis function,the values of different parameters have a great influence on the magnified ima-ge.The appropriate fidelity index is particularly critical for the image quality evaluation and the study on the parameters.This paper mainly presented the definition of fidelity index for image magnification based on the multilevel feature of image and the radial basis function of the block matrix,which consists of the global distortion index and the edge distortion index.The experimental results show that the definition of fidelity index is effective.Furthermore,the correlations between the parameters of MQ,inverse MQ and the Gauss radial basis functions and the image texture amplification mechanism were studied.

关 键 词：径向基函数 层次特征 分块矩阵 保真指标 全局失真度 边缘失真度 

分 类 号：TP751.1[自动化与计算机技术—检测技术与自动化装置]