C^1 Analysis of Hermite Subdivision Schemes on Manifolds

Caroline Moosmüller

Research output: Contribution to journalArticlepeer-review


We propose two adaptations of linear Hermite subdivision schemes to operate on manifold-valued data. Our approach is based on a Log-exp analogue and on projection, respectively, and can be applied to both interpolatory and noninterpolatory Hermite schemes. Furthermore, we introduce a new proximity condition, which bounds the difference between a linear Hermite subdivision scheme and its manifold-valued analogue. Verification of this condition gives the main result: The manifold-valued Hermite subdivision scheme constructed from a C^1-convergent linear scheme is also C^1 if certain technical conditions are met.
Original languageEnglish
Pages (from-to)3003-3031
Number of pages29
JournalSIAM Journal on Numerical Analysis
Issue number5
Publication statusPublished - 4 Oct 2016

ASJC Scopus subject areas

  • Numerical Analysis

Fields of Expertise

  • Information, Communication & Computing

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