Abstract: In this paper，the basic characteristics of a class of blending osculatory rational interpolants are researched and a new adaptive algorithm for image interpolation is proposed by analyzing the reason like blurring or zigzag on edges of image and considering the demand for the real-time image transfer in multimedia communication.According to the disparate color area differed by the color subsection，the Sinc function can be approximated by the Salzer continued fraction and the extended Newton interpolation polynomial respectively.So the edge-preserving characters can be preserved by using this new algorithm.Illustrations show the validities of proposed method by comparing with the normal polynomial methods.

Key words: image interpolation, Salzer continued fraction, extended Newton interpolation polynomial, color subsection

摘要： 分析了切触混合有理插值的基本特性，同时研究了图像缩放时边缘区域产生模糊的原因，并考虑到数字图像实时传输的要求，给出了一类新的自适应图像插值算法。由于采用颜色分段的处理方法，根据不同类型的颜色区域，分别采用Salzer连分式和扩展的Newton多项式逼近Sinc函数。提出的算法尽可能保持了边缘像素原有特征。数值模拟与仿真显示该方法比传统方法有更清晰的边界。

关键词: 图像插值, Salzer连分式, 扩展的Newton插值多项式, 颜色分段