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Section B

Hermite interpolation by triangular cubic patches with small Willmore energy

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Pages 1881-1898 | Received 11 Feb 2012, Accepted 28 Dec 2012, Published online: 19 Mar 2013
 

Abstract

In this paper, a construction of a cubic Bézier spline surface that interpolates prescribed spatial points and the corresponding normal directions of tangent planes is proposed. Boundary curves of each triangular patch minimize the approximated strain energy. A comparison of optimal boundary curves is given. The interpolant minimizes Willmore energy functional. Some numerical examples and applications of the interpolation scheme are presented: surface approximation, hole filling and condensation of parameters.

2010 AMS Subject Classifications :

Acknowledgements

Operation part-financed by the European Union, European Social Fund.

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