@article {IOPORT.05584113, author = {Deng, Siqing and Fang, Kui and Xie, Jin}, title = {A new bivariate rational interpolation based on function values and the properties.}, year = {2008}, journal = {Acta Mathematicae Applicatae Sinica}, volume = {31}, number = {4}, issn = {0254-3079}, pages = {758-768}, publisher = {Institute of Applied Mathematics, The Chinese Academy of Sciences, Beijing}, abstract = {Summary: A bivariate rational bicubic interpolating spline based on function values with six parameters is constructed, and this spline is with bicubic numerator and bicubic denominator. The interpolation function has a simple and explicit mathematical representation. The interpolating surface is $C^1$ in the interpolating region when three parameters satisfy a simple condition, and the interpolating surface can be modified by selecting suitable parameters under the condition that the interpolating data are not changed. Some properties of the interpolation are derived.}, identifier = {05584113}, }