Progressive stable interpolation |
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Authors: | Nigro Abdelmalek Laurent Pierre‐Jean |
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Affiliation: | (1) LMC‐IMAG, Université Joseph Fourier, BP 53X, F‐38041 Grenoble, France |
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Abstract: | In this paper, we study several interpolating and smoothing methods for data which are known “progressively”. The algorithms proposed are governed by recurrence relations and our principal goal is to study their stability. A recurrence relation will be said stable if the spectral radius of the associated matrix is less than one. The iteration matrices depend on shape parameters which come either from the connection at the knots, or from the nature of the interpolant between two knots. We obtain various stability domains. Moving the parameters inside these domains leads to interesting shape effects. This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | progressive interpolation stability spline shape parameters geometric continuity 41A05 41A15 65D05 65D07 |
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