Article Dans Une Revue BIT Numerical Mathematics Année : 2006

Hermite Subdivision with Shape Constraints on a Rectangular Mesh

Résumé

We study a two parameter version of the Hermite subdivision scheme introduced in [7], wish gives $C^1$ interpolants on rectangular meshes. We prove $C^1$-convergence for a range of the two parameters. By introducing a control grid we can choose the parameters in the scheme so that the interpolant inherits positivity and/or directional monotonicity from the initial data. Several examples are given showing that a desired shape can be achieved even if we use only very crude estimates for the initial slopes.

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Dates et versions

hal-00019036 , version 1 (14-02-2006)

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  • HAL Id : hal-00019036 , version 1

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Tom Lyche, Jean-Louis Merrien. Hermite Subdivision with Shape Constraints on a Rectangular Mesh. BIT Numerical Mathematics, 2006, 46 (4), pp.831-859. ⟨hal-00019036⟩
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