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 Madani | 1 | 35 | 7.99 |
Ali Ayremlou | 2 | 23 | 3.92 |
Arash Amini | 3 | 178 | 22.46 |
Farrokh Marvasti | 4 | 113 | 13.55 |