Efficient cubic spline interpolation implemented with FIR filters

8 pages, 16 figures, 1 table.

Detalles Bibliográficos
Autores: Ferrer Arnau, Lluís Jordi, Reig-Bolaño, Ramón, Martí-Puig, Pere, Manjabacas, Amalia, Parisi-Baradad, Vicenç
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/71847
Acceso en línea:http://hdl.handle.net/10261/71847
Access Level:acceso abierto
Palabra clave:Representation of contours
Cubic spline interpolation
Splines
Least squares filter
B-splines
Filter approximation
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spelling Efficient cubic spline interpolation implemented with FIR filtersFerrer Arnau, Lluís JordiReig-Bolaño, RamónMartí-Puig, PereManjabacas, AmaliaParisi-Baradad, VicençRepresentation of contoursCubic spline interpolationSplinesLeast squares filterB-splinesFilter approximation8 pages, 16 figures, 1 table.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.This work was supported by the project 3D Otolith shape analysis (AFORO 3D), ref: CTM2010-19701, from Spanish Government.Peer reviewedMachine Intelligence Research Labs2013info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501http://hdl.handle.net/10261/71847reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://www.mirlabs.org/ijcisim/archives.htmlinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/718472026-05-22T06:33:51Z
dc.title.none.fl_str_mv Efficient cubic spline interpolation implemented with FIR filters
title Efficient cubic spline interpolation implemented with FIR filters
spellingShingle Efficient cubic spline interpolation implemented with FIR filters
Ferrer Arnau, Lluís Jordi
Representation of contours
Cubic spline interpolation
Splines
Least squares filter
B-splines
Filter approximation
title_short Efficient cubic spline interpolation implemented with FIR filters
title_full Efficient cubic spline interpolation implemented with FIR filters
title_fullStr Efficient cubic spline interpolation implemented with FIR filters
title_full_unstemmed Efficient cubic spline interpolation implemented with FIR filters
title_sort Efficient cubic spline interpolation implemented with FIR filters
dc.creator.none.fl_str_mv Ferrer Arnau, Lluís Jordi
Reig-Bolaño, Ramón
Martí-Puig, Pere
Manjabacas, Amalia
Parisi-Baradad, Vicenç
author Ferrer Arnau, Lluís Jordi
author_facet Ferrer Arnau, Lluís Jordi
Reig-Bolaño, Ramón
Martí-Puig, Pere
Manjabacas, Amalia
Parisi-Baradad, Vicenç
author_role author
author2 Reig-Bolaño, Ramón
Martí-Puig, Pere
Manjabacas, Amalia
Parisi-Baradad, Vicenç
author2_role author
author
author
author
dc.subject.none.fl_str_mv Representation of contours
Cubic spline interpolation
Splines
Least squares filter
B-splines
Filter approximation
topic Representation of contours
Cubic spline interpolation
Splines
Least squares filter
B-splines
Filter approximation
description 8 pages, 16 figures, 1 table.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/71847
url http://hdl.handle.net/10261/71847
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://www.mirlabs.org/ijcisim/archives.html
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Machine Intelligence Research Labs
publisher.none.fl_str_mv Machine Intelligence Research Labs
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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