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

https://hal.archives-ouvertes.fr/hal-02615136
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

File

CharinaContiMejestrikMerrien.p...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02615136, version 1

Citation

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

Share

Metrics

Record views

20

Files downloads

27