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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Surfaces generated by moving least squares methods

Authors: P. Lancaster and K. Salkauskas
Journal: Math. Comp. 37 (1981), 141-158
MSC: Primary 65D05; Secondary 41A05, 41A63
MathSciNet review: 616367
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Abstract: An analysis of moving least squares (m.l.s.) methods for smoothing and interpolating scattered data is presented. In particular, theorems are proved concerning the smoothness of interpolants and the description of m.l.s. processes as projection methods. Some properties of compositions of the m.l.s. projector, with projectors associated with finiteelement schemes, are also considered. The analysis is accompanied by examples of univariate and bivariate problems.

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Article copyright: © Copyright 1981 American Mathematical Society