Academic Journal
Efficient cubic spline interpolation implemented with FIR filters
| Title: | Efficient cubic spline interpolation implemented with FIR filters |
|---|---|
| Authors: | Ferrer Arnau, Luis Jorge, Reig Bolano, Ramon, Marti-Puig, Pere, Manjabacas, A., Parisi Baradad, Vicenç |
| Contributors: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Electrònica, Universitat Politècnica de Catalunya. SARTI - Centre de Desenvolupament Tecnològic de Sistemes d'Adquisició Remota i Tractament de la Informació, Universitat Politècnica de Catalunya. (TIEG) - Terrassa Industrial Electronics Group |
| Publication Year: | 2012 |
| Collection: | Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge |
| Subject Terms: | Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal, Splines, Pattern recognition systems--Data processing, Image processing, Otoliths, Tractament del senyal, Splines (Matemàtica) |
| Description: | Classical Cubic spline interpolation needs to solve a set of equations of high dimension. In this work we show how to compute the interpolant using a FIR digital filter, with a reduced number of operations per interpolated point and high accuracy. Additionally, the computation can be made on real time as the signal samples are acquired. Following this approach, we show how to obtain easily the derivatives of the interpolant in a similar way, and also signal approximations to reduce the oscillations that appear when using high order splines. These techniques are very well suited to compute continuous representations of image contours on closed shapes and to find its curvature and singularities. ; Peer Reviewed ; Postprint (published version) |
| Document Type: | article in journal/newspaper |
| File Description: | 8 p.; application/pdf |
| Language: | English |
| Relation: | http://www.mirlabs.net/ijcisim/regular_papers_2013/Paper85.pdf; https://hdl.handle.net/2117/16993 |
| Availability: | https://hdl.handle.net/2117/16993 |
| Rights: | Open Access |
| Accession Number: | edsbas.7A1A01B5 |
| Database: | BASE |
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