Branch, J. W., Prieto, F., and Boulanger, P. (2007). Fitting Surface of Free Form Objects Using Optimized NURBS Patches Network with Evolutionary Strategies. British Machine Vision Conference, CD Proceedings Paper 293, University of Warwick, UK.

We propose an algorithm to produce a 3-D CAD model from a set of range data, based on non-uniform rational B-splines (NURBS) surface fitting technique. Our goal is to construct continuous geometric models, assuming that the topology of surface is unknown. In our approach, the triangulated surface is partitioned in quadrilateral patches, using Morse theory. The quadrilateral obtained mesh is regularized by means of the use of geodesic curves and B-splines to obtain a new adequate grid on which to draw NURBS surfaces. Such NURBS surfaces are optimized by means of evolutionary strategies. Further, the patches are smoothly joined guaranteeing continuity C1.

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