Faculty Publications

Title

Multi-sided macro-element spaces based on Clough-Tocher triangle splits with applications to hole filling

Document Type

Article

Keywords

Filling holes, Macro-elements, Splines

Journal/Book/Conference Title

Computer Aided Geometric Design

Volume

22

Issue

1

First Page

57

Last Page

79

Abstract

Cr macro-element spaces are constructed on polygonal domains with an arbitrary number of sides. The spaces consist of polynomial supersplines defined on triangulations which have been partially refined with Clough-Tocher splits. In addition to giving dimension formulae, minimal determining sets, and nodal bases, we derive error bounds for the corresponding Hermite interpolation operators. A number of examples are presented to show how the spaces can be used to fill n-sided holes. © 2004 Elsevier B.V. All rights reserved.

Original Publication Date

1-1-2005

DOI of published version

10.1016/j.cagd.2004.09.001

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