Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Joint Spectral Radius and Ternary Hermite Subdivision

Abstract : In this paper we construct a family of ternary interpolatory Hermite subdivision schemes of order 1 with small support and HC 2-smoothness. Indeed, leaving the binary domain, it is possible to derive interpolatory Hermite subdivision schemes with higher regularity than their binary counterparts. The family of schemes we construct is a two-parameter family whose HC 2-smoothness is guaranteed whenever the parameters are chosen from a certain polygonal region. The construction of this new family is inspired by the geometric insight into the ternary interpolatory scalar three-point subdivision scheme by Hassan and Dodgson. The smoothness of our new family of Hermite schemes is proven by means of joint spectral radius techniques.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [33 references]  Display  Hide  Download
Contributor : Jean-Louis Merrien <>
Submitted on : Friday, May 22, 2020 - 10:38:29 AM
Last modification on : Monday, July 6, 2020 - 3:38:13 PM


Files produced by the author(s)


  • HAL Id : hal-02615136, version 1


Jean-Louis Merrien, M Charina, C. Conti, T. Mejstrik, J.-L Merrien. Joint Spectral Radius and Ternary Hermite Subdivision. 2020. ⟨hal-02615136⟩



Record views


Files downloads