Title
Cubic Hermite interpolation with minimal derivative oscillation.
Abstract
In this paper, a new optimal cubic Hermite interpolation method is presented. The method is to optimize the derivative of the interpolant. The diagonally dominant property of the obtained system of normal equations and the error bound are better than some of the existing cubic interpolants. For parametric curve design, the vector-valued interpolation method is given. Some numerical examples are provided to illustrate the satisfactory shape of the interpolation curves.
Year
DOI
Venue
2018
10.1016/j.cam.2017.09.049
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
Hermite interpolation,Fitting data,Optimal property of cubic splines,Derivative optimization
Nearest-neighbor interpolation,Mathematical optimization,Spline interpolation,Multivariate interpolation,Mathematical analysis,Bicubic interpolation,Interpolation,Monotone cubic interpolation,Cubic Hermite spline,Hermite interpolation,Mathematics
Journal
Volume
Issue
ISSN
331
C
0377-0427
Citations 
PageRank 
References 
1
0.36
5
Authors
2
Name
Order
Citations
PageRank
Xuli Han131.44
Xiao Guo273.88