On the approximation power of generalized T-splines

Cesare Bracco, Durkbin Cho, Catterina Dagnino, Tae wan Kim

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The paper presents some properties of Generalized T-splines (GT-splines), which are crucial to their actual application. In particular, we construct a dual basis for a noteworthy class of GT-splines, which allows to show that, under suitable conditions, they form a partition of unity. Moreover, we study the approximation properties of the GT-spline space by constructing a class of quasi-interpolants which belong to it and are defined by giving a dual basis.

Original languageEnglish
Pages (from-to)423-438
Number of pages16
JournalJournal of Computational and Applied Mathematics
Volume311
DOIs
StatePublished - 1 Feb 2017

Keywords

  • Generalized B-spline
  • Isogeometric analysis
  • Partition of unity
  • Spline approximation
  • T-spline

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