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

Davydov, Oleg and Manni, Carla (2010) A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations. Journal of Computational and Applied Mathematics, 233 (7). pp. 1674-1684. ISSN 0377-0427

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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 C1 cubic spline surfaces over a four-directional mesh produced by two-stage scattered data fitting methods.