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

DOI:
https://doi.org/10.1090/S0025-5718-1981-0616367-1

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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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1981-0616367-1

Article copyright:
© Copyright 1981
American Mathematical Society