Mesh fairing \(GC^ 1\) surface generation method. (English) Zbl 0692.68077

Nowacki, Horst; Liu, Dingyuan; Lü, Xinmin

Theory and practice of geometric modeling, Lect. Conf., Blaubeuren/FRG 1988, 93-108 (1989).

[For the entire collection see Zbl 0681.53001.]
Given a discrete set of data points arranged in a regular rectangular mesh the authors present a method to construct a \(GC^ 1\)-interpolant. They first form a set of fair mesh lines according to the given data points. These curves have to minimize some strain energy. Then they interpolate these curves by \(GC^ 1\)-Gregory-Bézier patches. An example of the interpolation of a ship hull finishes the paper.

Reviewer: O.Röschel

MSC:

68U20	Simulation (MSC2010)
53A05	Surfaces in Euclidean and related spaces

Keywords:

\(GC^ 1\)-interpolant of data points

Citations:

Zbl 0681.53001