中文摘要：

分析了Hermite型插值样条的基本特性，同时研究了图像放大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，给出了一类新的基于Hermite型插值样条的自适应图像插值算法。由于采用单核插值以及弹性边界的处理方法，提出的算法计算复杂性较小，且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。

英文摘要：

The basic characteristics of a class of Hermite-type interpolation spline are investigated. Mean- while, a new adaptive algorithm via Hermite-type interpolation spline for image interpolation is proposed by analyzing the reason of blurring or zigzag on edges of image and considering the demand for the real- time image transfer in multimedia communication. The proposed method provides the less computational complexity for a single kernel function, and the edge-preserving characters can be preserved by using the flexible border in the new algorithm. Illustrations show the validities of the proposed method by comparing with the normal polynomial methods.