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Constructive methods in convexC 2 interpolation using quartic splines |
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| Authors: | Bernd Mulansky Jochen W Schmidt |
| Institution: | (1) Institut für Numerische Mathematik, Technische Universität Dresden, D-01062 Dresden, Germany |
| Abstract: | Using quartic splines on refined grids, we present a method for convexity preservingC 2 interpolation which is successful for all strictly convex data sets. In the first stage, one suitable additional knot in each subinterval of the original data grid is fixed dependent on the given data values. In the second stage, a visually pleasant interpolant is selected by minimizing an appropriate choice functional. |
| Keywords: | Shape preserving interpolation convex interpolation monotonicity and range restrictions quarticC 2 splines on refined grids additional knots choice functionals |
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