Thiele-Thiele型二元向量有理插值实现彩色图像的缩放  

Method of image zooming based on Thiele-Thiele bivariate vector valued rational interpolation

作　　者：檀结庆[1] 尹红艳[1] 

机构地区：[1]合肥工业大学数学学院,合肥230009

出　　处：《计算机应用研究》2011年第8期3188-3191,共4页Application Research of Computers

基　　金：国家自然科学基金资助项目(60773043;60473114);国家教育部博士点基金资助项目(20070359014);安徽省自然科学基金资助项目(070416273X);安徽省教育厅科技创新团队基金资助项目(2005TD03)

摘　　要：提出了一种基于Thiele-Thiele型有理向量插值的彩色图像插值方法。将数字图像的每一个像素点看成是一个平面域的关于RGB三原色的一个向量,在矩形网格上利用Samelson逆与倒差商技巧,根据图像的像素特征构造Thiele-Thiele型二元向量连分式有理插值函数,然后对插值曲面进行采样以实现缩放。采用该算法可以得到更加清晰的放大图像。实验结果表明,该方法是一种有效的图像缩放方法。This paper presented a new method of color image zooming which based on the bivariate Thiele-Thiele＇s vector va-lued rational interpolation.Regarded each pixel of digital image as a vector of RGB primary colors of a flat field,Samelson inversion and inverted difference quotient was used to construct bivariate Thiele-Thiele＇s vector valued rational interpolation function according to the pixel features of the image,resampled the interpolation surface to generate the required resized image.The more distinct image could be formed by the algorithm of this article.Experimental results show that the algorithm is an effective method of image zooming.

关 键 词：Thiele-Thiele型向量有理插值 Samelson逆 二元向量连分式 图像缩放 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]