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Spline Functions: Basic Theory.
Abstract
This classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product splines. It will be of interest to researchers and students working in applied analysis, numerical analysis, computer science, and engineering. The material covered provides the reader with the necessary tools for understanding the many applications of splines in such diverse areas as approximation theory, computer-aided geometric design, curve and surface design and fitting, image processing, numerical solution of differential equations, and increasingly in business and the biosciences. This new edition includes a supplement outlining some of the major advances in the theory since 1981, and some 250 new references. It can be used as the main or supplementary text for courses in splines, approximation theory or numerical analysis.
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Cited by
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Rigby, R. A., & Stasinopoulos, D. M. (2005) · Journal of the Royal Statistical Society Series C: Applied Statistics · doi:10.1111/j.1467-9876.2005.00510.x · Cited by 3,228
An Introduction to Numerical Analysis
Süli, E., & Mayers, D. F. (2003) · Cambridge University Press eBooks · doi:10.1017/cbo9780511801181 · Cited by 1,255
B-spline signal processing. I. Theory
Unser, M., Aldroubi, A., & Eden, M. (1993) · IEEE Transactions on Signal Processing · doi:10.1109/78.193220 · Cited by 940
Some Tools for Functional Data Analysis
Ramsay, J. O., & Dalzell, C. J. (1991) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1991.tb01844.x · Cited by 939
Model Selection and the Principle of Minimum Description Length
Hansen, M. H., & Yu, B. (2001) · Journal of the American Statistical Association · doi:10.1198/016214501753168398 · Cited by 788
Metadata
- Authors
- Smith, P. W., & Schumaker, L.
- Venue
- Mathematics of Computation
- Publisher
- JSTOR
- Published
- 1982-04
- Volume
- 38
- Issue
- 158
- Pages
- 652
- ISSN
- 0025-5718 (ISSN-L)
- OpenAlex
- W2090344516
- Cited by
- 2,463
- References
- 0
- FWCI
- 48.27
- Type
- journal article
- Language
- en
- Open access
- closed
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- Smith, P. W., & Schumaker, L. (1982). Spline Functions: Basic Theory. Mathematics of Computation. https://doi.org/10.2307/2007301
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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.
