Scattered Data Interpolation in N-Dimensional Space

dc.contributor.authorSkala, Václav
dc.date.accessioned2014-06-11T08:49:15Z
dc.date.available2014-06-11T08:49:15Z
dc.date.issued2012
dc.description.abstractRadial Basis Functions (RBF) interpolation theory is briefly introduced at the “application level” including some basic principles and computational issues. The RBF interpolation is convenient for un-ordered data sets in n-dimensional space, in general. This approach is convenient especially for a higher dimension N > 2 conversion to ordered data set, e.g. using tessellation, is computationally very expensive. The RBF interpolation is not separable and it is based on distance of two points. The RBF interpolation leads to a solution of a Linear System of Equations (LSE) Ax=b. There are two main groups of interpolating functions: ‘global” and “local”. Application of “local” functions, called Compactly Supporting Functions (CSFBF), can significantly decrease computational cost as they lead to a system of linear equations with a sparse matrix. The RBF interpolation can be used also for image reconstruction, inpainting removal, for solution of Partial Differential Equations (PDE) etc.en
dc.format6 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationRecent Researches in Communications, Signals and Information Technology: Proceedings, p. 137-142.en
dc.identifier.isbn978-1-61804-081-7
dc.identifier.urihttp://hdl.handle.net/11025/11334
dc.language.isoenen
dc.publisherWSEAScs
dc.relation.ispartofseriesRecent Researches in Communications, Signals and Information Technologyen
dc.rightsOriginal article is published under copyright license: © 2012 WSEASen
dc.rights.accessopenAccessen
dc.subjectinterpolace funkcícs
dc.subjectradiální bázové funkcecs
dc.subjectrekonstrukce obrazucs
dc.subject.translatedfunction interpolationen
dc.subject.translatedradial basis functionsen
dc.subject.translatedimage reconstructionen
dc.titleScattered Data Interpolation in N-Dimensional Spaceen
dc.typekonferenční příspěvekcs
dc.typeconferenceObjecten
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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