A comparative study of some rational interpolation algorithms and its application

Rational interpolation is a method to deal with Interpolation approximation problems using rational polynomial functions. Especially to functions with a pole, rational interpolation method is obviously superior to polynomial interpolation. Besides, rational interpolation also can be used to image processing aspects, and to some extent , it achieve better effects in image interpolation. In this paper, we compare the algorithms and analysis the advantages based on an example. Then, we talk about the variance of unattainable point in interpolation.