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A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations. (English) Zbl 1181.65022

Summary: 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.

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
41A15 Spline approximation
41A63 Multidimensional problems
65D07 Numerical computation using splines
65D15 Algorithms for approximation of functions

Software:

GMT; pchip; TSFIT
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References:

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