Title :
On Interpolation by bivariate cubic splines on a rectangular unit with C^2-continuity
Author :
Zhou, Tianxiang ; Zhen, Houtian
Author_Institution :
Dept. of Comput. Sci., Shaoxing Univ., Shaoxing, China
Abstract :
In this paper, we consider the interpolation method of bivariate cubic splines on a rectangular unit with C2-continuity. By discovering the relationship between the coefficient matrix and its interpolation scheme, we obtain the existence and uniformity of the interpolating splines. At the end we also provide the graphical display of the interpolating splines to show our method.
Keywords :
interpolation; matrix algebra; splines (mathematics); C2-continuity; bivariate cubic splines; coefficient matrix; interpolation scheme; rectangular unit; Computer science; Displays; Finite element methods; Interpolation; Joining processes; Spline; Surface reconstruction; Bivariate cubic spline; CAGD; Interpolation; Rectangular unit; Surface reconstruction; c^2-continuity;
Conference_Titel :
Information and Computing (ICIC), 2010 Third International Conference on
Conference_Location :
Wuxi, Jiang Su
Print_ISBN :
978-1-4244-7081-5
Electronic_ISBN :
978-1-4244-7082-2
DOI :
10.1109/ICIC.2010.210
