Title : 
A comparative study of some rational interpolation algorithms and its application
         
        
            Author : 
Dongmei, Li ; Cuilan, Mi ; Aimin, Yang ; Qiuna, Zhang ; Jingguo, Qu
         
        
            Author_Institution : 
Coll. of Sci., Hebei Polytech. Univ., Tangshan, China
         
        
        
        
        
        
        
            Abstract : 
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.
         
        
            Keywords : 
interpolation; polynomial approximation; rational functions; polynomial interpolation; rational interpolation algorithms; unattainable point variance; Algorithm design and analysis; Approximation algorithms; Educational institutions; Function approximation; Image processing; Image reconstruction; Interpolation; Polynomials; Spline; Testing; rational interpolation algorithm osculatory unattainable point;
         
        
        
        
            Conference_Titel : 
Test and Measurement, 2009. ICTM '09. International Conference on
         
        
            Conference_Location : 
Hong Kong
         
        
            Print_ISBN : 
978-1-4244-4699-5
         
        
        
            DOI : 
10.1109/ICTM.2009.5413086