基于混合有理插值的图像渐变算法*

针对现有的图像渐变方法只考虑两个图像间渐变的情况，提出一种非线性的多幅图像间渐变的新方法，即一元混合有理插值方法。将多幅图像间相同位置的像素点建立对应关系，按照该关系建立一元混合有理插值函数，对插值函数进行重采样，得到一系列的渐变中间图像。实验表明，新算法在反映空间数据的分布特性、保证图像纹理特征方面均优于其他算法，具有计算精度高、适应性强、易于编程实现等优点，是一种较实用的算法。

Algorithm of image metamorphosis based on blending rational interpolation

Aiming at the problems of merely considering metamorphosis between two images, this paper presented a new non-linear method of image metamorphosis among multiple images based on rational interpolation. First, constructed a correspon-ding relationship between pixels having same coordinate among multiple images. And then produced rational interpolation function based on this correspondence. Finally, generated series of morphing images by resampling the rational interpolation function. The experimental results show that this algorithm is better than several other algorithms both in distribution of data and integrality of image texture. This algorithm has the high precision of calculation, strong adaptation and easiness of programming, so it is a more practical algorithm.