Title
Optimized Spline Interpolation
Abstract
The goal of this paper is to design compact support basis spline functions that best approximate a given filter (e.g., an ideal Lowpass filter). The optimum function is found by minimizing the least square problem (l2 norm of the difference between the desired and the approximated filters) by means of the calculus of variation; more precisely, the introduced splines give optimal filtering properties with respect to their time support interval. Both mathematical analysis and simulation results confirm the superiority of these splines.
Year
Venue
Keywords
2010
Clinical Orthopaedics and Related Research
spline function,optimization problem,computational complexity,cubic spline,spline interpolation,calculus of variation,least square,signal to noise ratio,support function,mathematical analysis
Field
DocType
Volume
Spline (mathematics),Applied mathematics,Thin plate spline,Spline interpolation,Hermite spline,Mathematical analysis,Interpolation,Smoothing spline,Monotone cubic interpolation,Theoretical computer science,Polyharmonic spline,Mathematics
Journal
abs/1012.0
Citations 
PageRank 
References 
0
0.34
7
Authors
4
Name
Order
Citations
PageRank
Ramtin Madani1357.99
Ali Ayremlou2233.92
Arash Amini317822.46
Farrokh Marvasti411313.55