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

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