Box spline interpolation; a computational study

We present a computational study of box spline interpolation in two space dimensions. We are in particular concerned with the problem of computing the box spline coefficients in the presence of large data sets. The issues of convergence and regularity of the interpolants are also considered from a c...

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 44; no. 3; pp. 303 - 329
Main Authors Arge, Erlend, Dæhlen, Morten, Tveito, Aslak
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 24.12.1992
Elsevier
Subjects
Box splines
conjugate gradients
convergence
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
regularity
Sciences and techniques of general use
Box splines
conjugate gradients
regularity
convergence
Conjugate gradient method
Interpolation
Two dimensional space
Equation system solving
Box spline
Numerical convergence
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ISSN0377-0427
1879-1778
DOI10.1016/0377-0427(92)90003-G

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Summary:We present a computational study of box spline interpolation in two space dimensions. We are in particular concerned with the problem of computing the box spline coefficients in the presence of large data sets. The issues of convergence and regularity of the interpolants are also considered from a computational point of view.
ISSN:0377-0427
1879-1778
DOI:10.1016/0377-0427(92)90003-G