Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes

David Levin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Non-uniform binary linear subdivision schemes, with finite masks, over uniform grids, are studied. A Laurent polynomial representation is suggested and the basic operations required for smoothness analysis are presented. As an example it is shown that the interpolatory 4-point scheme is C1 with an almost arbitrary non-uniform choice of the free parameter.

Original languageEnglish
Pages (from-to)41-54
Number of pages14
JournalAdvances in Computational Mathematics
Volume11
Issue number1
DOIs
StatePublished - 1999

Fingerprint

Dive into the research topics of 'Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes'. Together they form a unique fingerprint.

Cite this