| Paper: | SPTM-P2.10 | ||
| Session: | Sampling, Extrapolation, and Interpolation | ||
| Time: | Tuesday, May 18, 15:30 - 17:30 | ||
| Presentation: | Poster | ||
| Topic: | Signal Processing Theory and Methods: Sampling, Extrapolation, and Interpolation | ||
| Title: | PARAMETRIC SMOOTHING OF SPLINE INTERPOLATION | ||
| Authors: | Jesús Ibáñez; ETSIIT, University of Cantabria | ||
| Ignacio Santamaría; ETSIIT, University of Cantabria | |||
| Carlos Pantaleón; ETSIIT, University of Cantabria | |||
| Luis Vielva; ETSIIT, University of Cantabria | |||
| Abstract: | Cubic spline interpolation is commonly applied in signal reconstruction problems. However, overshooting between samples is normally observed, and typically the reconstructed signal does not preserve the statistical properties of the original data neither other desired properties such as monotonicity or convexity. These undesirable effects are minimized in the case of piecewise linear (PWL) interpolation, of course with a discontinuous derivative. In this paper we use a parameterized family of splines, called alfa-splines, that allows a smooth transition from PWL (alpha=0) to cubic spline interpolation (alpha=1). Closed-form expressions that relate the parameter alpha to the smoothness and variance of the interpolation will be derived. Moreover, a fast interpolation technique based on digital filtering can be applied. | ||
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