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Surfaces generated by moving least squares methods
Open accessAbstract
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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Cited by
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Calculation of stress in atomistic simulation
Zimmerman, J. A., WebbIII, E. B., Hoyt, J. J., Jones, R. E., Klein, P. A., & Bammann, D. J. (2004) · Modelling and Simulation in Materials Science and Engineering · doi:10.1088/0965-0393/12/4/s03 · Cited by 458
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Metadata
- Authors
- Lancaster, P., & Salkauskas, K.
- Venue
- Mathematics of Computation
- Publisher
- American Mathematical Society (AMS)
- Published
- 1981
- Volume
- 37
- Issue
- 155
- Pages
- 141-158
- ISSN
- 0025-5718 (ISSN-L)
- 1088-6842
- OpenAlex
- W1988744163
- Cited by
- 2,591
- References
- 0
- FWCI
- 0.80
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
