A novel hole patching algorithm for discrete geometry using non-uniform rational B-spline. (English summary) Internat. J. Numer. Methods Engrg. 87 (2011), no. 13, 1254–1277.1097-0207 From the summary: “A hole patching algorithm for discrete geometry using a parametric approach based on Non-Uniform Rational B-Spline curves and surfaces is presented. The algorithm recovers the missing geometric information based on the neighboring points surrounding the topologically simple but geometrically complex holes. The neighboring points are used to reconstruct a set of three-dimensional NURBS surface patches covering the hole region which in turn are used to produce a smooth surface patch covering the hole. This algorithm can automatically identify the hole, obtain surrounding points, create the NURBS surfaces, and perform the projection of points onto the surface to complete the process. The algorithm also provides a way for the user to control the size and density of triangulation in the patches matching that of the surroundings.
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