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Efficient cubic spline interpolation implemented with FIR filters

AuthorsFerrer Arnau, Lluís Jordi; Reig-Bolaño, Ramón; Martí-Puig, Pere ; Manjabacas, Amalia ; Parisi-Baradad, Vicenç
KeywordsRepresentation of contours
Cubic spline interpolation
Least squares filter
Filter approximation
Issue Date2013
PublisherMachine Intelligence Research Labs
CitationInternational Journal of Computer Information Systems and Industrial Management Applications 5: 98-105 (2013)
AbstractClassical 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.
Description8 pages, 16 figures, 1 table.
Publisher version (URL)http://www.mirlabs.org/ijcisim/archives.html
Appears in Collections:(ICM) Artículos
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