基于Ferguson曲面插值的图像缩放方法  

Image Scaling Based on Ferguson Surface Interpolation

作　　者：韩忠杰[1] 饶道娟[2] 穆国旺[2] 

机构地区：[1]天津大学理学院,天津300072 [2]河北工业大学理学院,天津300130

出　　处：《河北工业大学学报》2006年第1期49-53,共5页Journal of Hebei University of Technology

基　　金：河北省自然科学基金(A2004000001)

摘　　要：图像缩放是数字图像处理中经常遇到的问题,可通过对图像插值来实现.在常用的插值方法中,邻近点插值方法和双线性插值方法都不能保证插值处导数值连续,因而有些情况下无法满足实际需要.三次样条插值方法可以达到2连续,因而具有较好的图像效果,但计算速度较慢.本文提出了一种利用Ferguson双三次曲面插值进行图像缩放的算法,该方法的连续阶比邻近点插值和双线性插值高,同时,计算速度比三次样条插值快.Image scaling is often encountered in dealing with digital image, which can be implemented by image interpolation. Among the generally used interpolation method, the nearest point interpolation and bilinear interpolation can not obtain C^1 continuity, so, they are not satisfied in some cases. The bicubic spline interpolation method can obtain C^2 continuity, therefore, it can get good quality of image, however, its computing speed is slower. In this paper a new method is presented, in which Ferguson surface interpolation is used to image scaling. It can obtain C^1 continuity, in this sense it is better than the nearest point interpolation and bilinear interpolation, meanwhile the computing speed is more quickly than that of bicubic spline interpolation.

关 键 词：图像缩放 邻近点插值 线性插值 双三次样条插值 Ferguson曲面插值 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]