Abstract
In applications such as Computer Aided Geometric Design it is useful to have operators which approximate a given bivariate function f by a spline-function S which in some sense preserves the shape of f, i. e. the shape of the surface represented by f. It seems reasonable to require that if f is monotone in a given direction or is convex, then so is S. We would also like in general that S is no more ‘bumpy’ than is f.
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© 1985 Birkhäuser Verlag Basel
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Goodman, T.N.T. (1985). Shape Preserving Approximation by Polyhedral Splines. 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_19
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DOI: https://doi.org/10.1007/978-3-0348-9321-3_19
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