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• W4205918063 abstract "PreviousNext No Access9th International Congress of the Brazilian Geophysical Society & EXPOGEF, Salvador, Bahia, Brazil, 11-14 September 2005Uniform Resampling Using the Sinc FunctionAuthors: Ana Carolina CamargoLúcio Tunes SantosAna Carolina CamargoDMA-IMECC-UNICAMP, BrazilSearch for more papers by this author and Lúcio Tunes SantosDMA-IMECC-UNICAMP, BrazilSearch for more papers by this authorhttps://doi.org/10.1190/sbgf2005-285 SectionsAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract It is common to find problems in handling data that falls on a nonequally spaced grid. Then, we say that is necessary making an uniform resampling, i.e., interpolating the nonuniform samples of a sign in a set of equally spaced points. In this work, it is first shown that the resampling problem can be formulated as a problem of solving a set of linear equations Ax = b, where x and b are vectors of the uniform and nonuniformsamples, respectively, and A is a matrix of the sinc interpolation coeffcients [Rosenfeld (1998)]. The solution for this system is given by the pseudoinverse matrix which is computed using singular value decomposition (SVD) in a process that is called Uniform ReSampling (URS). In large problems, the computation of the pseudoinverse is impractical. Using the fact that the contribution of the b(i)'s in the computation of the x(j)'s, when they are distant, is very small, Rosenfeld created an algorithm that was called Block Uniform ReSampling (BURS). Such algorithm uses only a limited number of points around t(j), point of the uniform grid, to calculate each uniform sample x(j), decomposing thus the problem into solving a small set of linear equations for each uniform grid point. These equations are a subset of the original equations Ax = b and are once again solved using SVD. The final result is both optimal and computationally effcient. A result is presented to illustrate. Keywords: SVD, algorithm, resamplingPermalink: https://doi.org/10.1190/sbgf2005-285FiguresReferencesRelatedDetails 9th International Congress of the Brazilian Geophysical Society & EXPOGEF, Salvador, Bahia, Brazil, 11-14 September 2005ISSN (online):2159-6832Copyright: 2005 Pages: 2274 publication data© 2005 Published in electronic format with permission by the Brazilian Geophysical SocietyPublisher:Society of Exploration Geophysicists HistoryPublished: 14 Sep 2005 CITATION INFORMATION Ana Carolina Camargo and Lúcio Tunes Santos, (2005), Uniform Resampling Using the Sinc Function, SEG Global Meeting Abstracts : 1435-1437. https://doi.org/10.1190/sbgf2005-285 Plain-Language Summary KeywordsSVDalgorithmresamplingPDF DownloadLoading ..." @default.
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