Interpolating Curved Grids Using Quasi-developable Bi-cubic Gregory Patches
- 25 February 2015
- journal article
- research article
- Published by U-turn Press LLC in Computer-Aided Design and Applications
- Vol. 12 (5) , 564-571
Abstract
The problem of interpolating a quadrilateral free-form network with a quasi-developable patch is investigated in this paper. The boundaries of the quadrilateral are assumed to be degree 3 Bezier curves. The interpolated surface is a bi-cubic Gregory patch, which guarantees G1 Continuity. All inner control points of the Gregory patch are determined by imposing G1 continuity constraint and solving an optimization to maximize the surface developability. The optimization model minimizes the value of the integral Gaussian curvature over the entire patch. Examples are provided to illustrate the application of this approach in several industrial applications.Keywords
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