A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations

Authors:
Oleg Davydov;Carla Manni
Affiliations:
Department of Mathematics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, Scotland, United Kingdom;Department of Mathematics, University of Rome "Tor Vergata", Via della Ricerca Scientifica, 00133, Roma, Italy
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

We propose a parametric tensioned version of the FVS macro-element to control the shape of the composite surface and remove artificial oscillations, bumps and other undesired behaviour. In particular, this approach is applied to C^1 cubic spline surfaces over a four-directional mesh produced by two-stage scattered data fitting methods.