An Examination of New Paradigms for Spline Approximations

Lavery splines are examined in the univariate and bivariate cases. In both instances relaxation based algorithms for approximate calculation of Lavery splines are proposed. Following previous work Gilsinn, et al. [7] addressing the bivariate case, a rotationally invariant functional is assumed. The...

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Detalles Bibliográficos
Autores principales: Witzgall, Christoph, Gilsinn, David E., McClain, Marjorie A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 2006
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4662495/
https://www.ncbi.nlm.nih.gov/pubmed/27274917
http://dx.doi.org/10.6028/jres.111.005
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author Witzgall, Christoph
Gilsinn, David E.
McClain, Marjorie A.
author_facet Witzgall, Christoph
Gilsinn, David E.
McClain, Marjorie A.
author_sort Witzgall, Christoph
collection PubMed
description Lavery splines are examined in the univariate and bivariate cases. In both instances relaxation based algorithms for approximate calculation of Lavery splines are proposed. Following previous work Gilsinn, et al. [7] addressing the bivariate case, a rotationally invariant functional is assumed. The version of bivariate splines proposed in this paper also aims at irregularly spaced data and uses Hseih-Clough-Tocher elements based on the triangulated irregular network (TIN) concept. In this paper, the univariate case, however, is investigated in greater detail so as to further the understanding of the bivariate case.
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spelling pubmed-46624952016-06-03 An Examination of New Paradigms for Spline Approximations Witzgall, Christoph Gilsinn, David E. McClain, Marjorie A. J Res Natl Inst Stand Technol Article Lavery splines are examined in the univariate and bivariate cases. In both instances relaxation based algorithms for approximate calculation of Lavery splines are proposed. Following previous work Gilsinn, et al. [7] addressing the bivariate case, a rotationally invariant functional is assumed. The version of bivariate splines proposed in this paper also aims at irregularly spaced data and uses Hseih-Clough-Tocher elements based on the triangulated irregular network (TIN) concept. In this paper, the univariate case, however, is investigated in greater detail so as to further the understanding of the bivariate case. [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 2006 2006-04-01 /pmc/articles/PMC4662495/ /pubmed/27274917 http://dx.doi.org/10.6028/jres.111.005 Text en https://creativecommons.org/publicdomain/zero/1.0/ The Journal of Research of the National Institute of Standards and Technology is a publication of the U.S. Government. The papers are in the public domain and are not subject to copyright in the United States. Articles from J Res may contain photographs or illustrations copyrighted by other commercial organizations or individuals that may not be used without obtaining prior approval from the holder of the copyright.
spellingShingle Article
Witzgall, Christoph
Gilsinn, David E.
McClain, Marjorie A.
An Examination of New Paradigms for Spline Approximations
title An Examination of New Paradigms for Spline Approximations
title_full An Examination of New Paradigms for Spline Approximations
title_fullStr An Examination of New Paradigms for Spline Approximations
title_full_unstemmed An Examination of New Paradigms for Spline Approximations
title_short An Examination of New Paradigms for Spline Approximations
title_sort examination of new paradigms for spline approximations
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4662495/
https://www.ncbi.nlm.nih.gov/pubmed/27274917
http://dx.doi.org/10.6028/jres.111.005
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