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

O. Davydov and C. Manni, A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations. J. Comput. Appl. Math., 233 (2010), pp. 1674-1684. DOI 10.1016/j.cam.2009.02.099

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.

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