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Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2017

Extended Hermite Subdivision Schemes

Résumé

Subdivision schemes are efficient tools for building curves and surfaces. For vector subdivision schemes, it is not so straightforward to prove more than the Hölder regularity of the limit function. On the other hand, Hermite subdivision schemes produce function vectors that consist of derivatives of a certain function, so that the notion of convergence automatically includes regularity of the limit. In this paper, we establish an equivalence betweena spectral condition and operator factorizations, then we study how such schemes with smooth limit functions can be extended into ones with higher regularity. We conclude by pointing out this new approach applied to cardinal splines.
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Dates et versions

hal-01250509 , version 1 (04-01-2016)
hal-01250509 , version 2 (01-02-2016)
hal-01250509 , version 3 (01-09-2016)

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Citer

Jean-Louis Merrien, Tomas Sauer. Extended Hermite Subdivision Schemes. Journal of Computational and Applied Mathematics, 2017, 317, pp.343-361. ⟨10.1016/j.cam.2016.12.002⟩. ⟨hal-01250509v3⟩
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