Title :
Optimal design of smoothing spline surface using B-spline functions
Author :
Fujioka, Biroyuki ; Kano, Hiroyuki ; Egerstedt, Magnus
Author_Institution :
Tokyo Denki Univ., Saitama, Japan
Abstract :
In this paper, we consider a design problem of optimal smoothing and interpolating surface for given set of spatial data points. The surface is constructed by employing normalized, uniform, and bivariate B-splines as the basis functions. A concise representation for optimal surface is derived, yielding straightforward computational procedure. A design example is included.
Keywords :
interpolation; splines (mathematics); surface fitting; B-spline functions; basis functions; optimal smoothing; smoothing spline surface; spatial data points; surface interpolation;
Conference_Titel :
SICE 2004 Annual Conference
Conference_Location :
Sapporo
Print_ISBN :
4-907764-22-7
