Directional wavelets and a wavelet variogram for two-dimensional data

Bibliographic Details
Main Author: Bosch, E. H.
Publication Date: 2009
Other Authors: González, A. Paz, Vivas, J. G., Easley, G. R.
Format: Article
Language: eng
Source: Repositório Institucional da UFBA
Download full: http://www.repositorio.ufba.br/ri/handle/ri/13124
Summary: Texto completo: acesso restrito. p. 611-641
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spelling Bosch, E. H.González, A. PazVivas, J. G.Easley, G. R.Bosch, E. H.González, A. PazVivas, J. G.Easley, G. R.2013-10-07T15:49:37Z20091874-8961http://www.repositorio.ufba.br/ri/handle/ri/13124v. 41, n. 6Texto completo: acesso restrito. p. 611-641This paper describes two new approaches that can be used to compute the two-dimensional experimental wavelet variogram. They are based on an extension from earlier work in one dimension. The methods are powerful 2D generalizations of the 1D variogram that use one- and two-dimensional filters to remove different types of trend present in the data and to provide information on the underlying variation simultaneously. In particular, the two-dimensional filtering method is effective in removing polynomial trend with filters having a simple structure. These methods are tested with simulated fields and microrelief data, and generate results similar to those of the ordinary method of moments variogram. Furthermore, from a filtering point of view, the variogram can be viewed in terms of a convolution of the data with a filter, which is computed fast in O(NLogN) number of operations in the frequency domain. We can also generate images of the filtered data corresponding to the nugget effect, sill and range of the variogram. This in turn provides additional tools to analyze the data further.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2013-10-07T15:49:37Z No. of bitstreams: 1 art%3A10.1007%2Fs11004-009-9230-8.pdf: 725450 bytes, checksum: 29f7032bd55ae03a43a2489ec937c5e1 (MD5)Made available in DSpace on 2013-10-07T15:49:37Z (GMT). No. of bitstreams: 1 art%3A10.1007%2Fs11004-009-9230-8.pdf: 725450 bytes, checksum: 29f7032bd55ae03a43a2489ec937c5e1 (MD5) Previous issue date: 2009http://dx.doi.org/10.1007/s11004-009-9230-8reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBADirectional waveletsWavelet analysisTrend analysisVariogramDirectional wavelets and a wavelet variogram for two-dimensional dataMathematical Geosciencesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessLICENSElicense.txtlicense.txttext/plain1365https://repositorio.ufba.br/bitstream/ri/13124/2/license.txt5371a150bdc863f78dcf39281543bd86MD52ORIGINALart%3A10.1007%2Fs11004-009-9230-8.pdfart%3A10.1007%2Fs11004-009-9230-8.pdfapplication/pdf725450https://repositorio.ufba.br/bitstream/ri/13124/1/art%253A10.1007%252Fs11004-009-9230-8.pdf29f7032bd55ae03a43a2489ec937c5e1MD51TEXTart%3A10.1007%2Fs11004-009-9230-8.pdf.txtart%3A10.1007%2Fs11004-009-9230-8.pdf.txtExtracted texttext/plain69836https://repositorio.ufba.br/bitstream/ri/13124/3/art%253A10.1007%252Fs11004-009-9230-8.pdf.txtc8e3b36fdb9c95963393b657dbd386cdMD53ri/131242022-07-05 14:02:49.036oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestrepositorio@ufba.bropendoar:19322022-07-05T17:02:49Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Directional wavelets and a wavelet variogram for two-dimensional data
dc.title.alternative.pt_BR.fl_str_mv Mathematical Geosciences
title Directional wavelets and a wavelet variogram for two-dimensional data
spellingShingle Directional wavelets and a wavelet variogram for two-dimensional data
Bosch, E. H.
Directional wavelets
Wavelet analysis
Trend analysis
Variogram
title_short Directional wavelets and a wavelet variogram for two-dimensional data
title_full Directional wavelets and a wavelet variogram for two-dimensional data
title_fullStr Directional wavelets and a wavelet variogram for two-dimensional data
title_full_unstemmed Directional wavelets and a wavelet variogram for two-dimensional data
title_sort Directional wavelets and a wavelet variogram for two-dimensional data
author Bosch, E. H.
author_facet Bosch, E. H.
González, A. Paz
Vivas, J. G.
Easley, G. R.
author_role author
author2 González, A. Paz
Vivas, J. G.
Easley, G. R.
author2_role author
author
author
dc.contributor.author.fl_str_mv Bosch, E. H.
González, A. Paz
Vivas, J. G.
Easley, G. R.
Bosch, E. H.
González, A. Paz
Vivas, J. G.
Easley, G. R.
dc.subject.por.fl_str_mv Directional wavelets
Wavelet analysis
Trend analysis
Variogram
topic Directional wavelets
Wavelet analysis
Trend analysis
Variogram
description Texto completo: acesso restrito. p. 611-641
publishDate 2009
dc.date.issued.fl_str_mv 2009
dc.date.accessioned.fl_str_mv 2013-10-07T15:49:37Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.repositorio.ufba.br/ri/handle/ri/13124
dc.identifier.issn.none.fl_str_mv 1874-8961
dc.identifier.number.pt_BR.fl_str_mv v. 41, n. 6
identifier_str_mv 1874-8961
v. 41, n. 6
url http://www.repositorio.ufba.br/ri/handle/ri/13124
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1007/s11004-009-9230-8
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
instacron:UFBA
instname_str Universidade Federal da Bahia (UFBA)
instacron_str UFBA
institution UFBA
reponame_str Repositório Institucional da UFBA
collection Repositório Institucional da UFBA
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