Abstract
Interpolation has played a crucial role in the development of univariate spline theory [11]. However in two dimensions interpolation is only known when the degree of the splines is relatively large compared to the smoothness ([9]). Let △ be a triangulation of a region, \(\Omega \subseteq {\mathbb{R}^2},n,\mu \in {\mathbb{N}_o},\) and define
, where ℙn denotes all polynomials of total degree n.
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© 1985 Birkhäuser Verlag Basel
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Bamberger, L. (1985). Interpolation in Bivariate Spline Spaces. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory III. International Series of Numerical Mathematics, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9321-3_4
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DOI: https://doi.org/10.1007/978-3-0348-9321-3_4
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9995-6
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