Convex surface fitting with parametric Bézier surfaces. (English) Zbl 0905.65011

Jüttler, Bert

Dæhlen, Morten (ed.) et al., Mathematical methods for curves and surfaces II. 2nd international conference, Lillehammer, Norway, July 3–8, 1997. Nashville, TN: Vanderbilt Univ. Press. 263-270 (1998).

Summary: We present a method for approximating scattered data with a convex parametric Bézier surface patch. In the first step we construct a reference surface which roughly specifies the expected shape of the approximating surface. Based on this reference surface we generate linearized convexity conditions. The approximating surface is then found by solving a quadratic programming problem.
For the entire collection see [Zbl 0892.00046].

MSC:

65D10	Numerical smoothing, curve fitting
65D17	Computer-aided design (modeling of curves and surfaces)

Keywords:

convex surface fitting; scattered data; parametric Bézier surface; reference surface; quadratic programming