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Data Smoothing and Interpolation Using Eighth-order Algebraic Splines (2004)
| Content Provider | CiteSeerX |
|---|---|
| Author | Simon, Dan |
| Abstract | Abstract—A new type of algebraic spline is used to derive a filter for smoothing or interpolating discrete data points. The spline is dependent on control parameters that specify the relative importance of data fitting and the derivatives of the spline. A general spline of arbitrary order is first formulated using matrix equations. We then focus on eighth-order splines because of the continuity of their first three derivatives (desirable formotor and robotics applications). The spline’s matrix equations are rewritten to give a recursive filter that can be implemented in real time for lengthy data sequences. The filter is lowpass with a bandwidth that is dependent on the spline’s control parameters. Numerical results, including a simple image processing application, show the tradeoffs that can be achieved using the algebraic splines. Index Terms—Algebraic splines, data smoothing, image processing, in-terpolation, optimization, recursive filters, splines. I. |
| File Format | |
| Journal | IEEE Transactions on Signal Processing |
| Language | English |
| Publisher Date | 2004-01-01 |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
