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Moving Weighted Least-Squares Methods

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Polynomial and Spline Approximation

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 49))

Abstract

Moving weighted least squares are defined and analyzed with a view to clarifying their algebraic structure and imposing sufficient conditions to guarantee interpolating and smoothness properties of the resulting surface.

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References

  1. R.E. Barnhill, Representation and approximation of surfaces, Mathematical Software III. Academic Press, 1977, pp 69–120.

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  2. W.J. Gordon and J.A. Wixom, Shepard’s method of “metric interpolation” to bivariate and multi-variate interpolation. Math. Comp. 32 (1978), 253–264.

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  3. P. Lancaster, Theory of Matrices, Academic Press, New York, 1969.

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  4. D.H. McLain, Drawing contours from arbitrary data points, Computer J. 17 (1974), 318–324.

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  5. D.H. McLain, Two-dimensional interpolation from random data, Computer J. 19 (1976), 178–181.

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  6. S. Ritchie, Representation of surfaces by finite elements, M.Sc. Thesis, Dep’t. of Math. & Stat., U. of Calgary, 1978.

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  7. L.L. Schumaker, Fitting surfaces to scattered data, Approximation Theory, II, Academic Press, New York, 1976, pp. 203–268.

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  8. D. Shepard, A two-dimensional interpolation function for irregularly spaced data, Proc. 1968 A.C.M. Nat. Conf., pp. 517–524.

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© 1979 Springer Science+Business Media Dordrecht

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Lancaster, P. (1979). Moving Weighted Least-Squares Methods. In: Sahney, B.N. (eds) Polynomial and Spline Approximation. NATO Advanced Study Institutes Series, vol 49. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9443-0_7

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  • DOI: https://doi.org/10.1007/978-94-009-9443-0_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9445-4

  • Online ISBN: 978-94-009-9443-0

  • eBook Packages: Springer Book Archive

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