Abstract
The problem of fitting a (smooth, fair-shaped) surface to arbitrarily spaced data arises in many applications in science and technology. For a survey of a variety of methods for representing and constructing such surfaces, see e. g. [2] and [5].
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References
Adams, R. A.: Sobolev Spaces New York: Academic Press 1975.
Barnhill R. E.: Representation and Approximation of Surfaces Mathematical Software III (J. R. Rice ed.), 69–120. New York: Academic Press 1977.
Meinguet, J.: An Intrinsic Approach to Multivariate Spline Interpolation at Arbitrary Points Proceedings of the NATO Advanced Study Institute on Polynomial and Spline Approximation, Calgary 1978 (B. N. Sahney ed.), 163–190. Boston: D. Reidel Publishing Company 1979.
Meinguet, J.: Multivariate Interpolation at Arbitrary Points Made Simple ZAMP, to appear.
Schumaker, L. L.: Fitting Surfaces to Scattered Data Approximation Theory II (G. G. Lorentz, C. K. Chui and L. L. Schumaker eds.), 203–268. New York: Academic Press 1976.
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Meinguet, J. (1979). Basic Mathematical Aspects of Surface Spline Interpolation. In: Hämmerlin, G. (eds) Numerische Integration. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6288-2_16
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DOI: https://doi.org/10.1007/978-3-0348-6288-2_16
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-6288-2
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