Geometrically Constrained Surface (Re)Construction
We consider the reverse engineering problem to construct a \(G^1\) continuous interpolant to a triangulated set of 3D points and corresponding normals by fitting a composite surface consisting of rational triangular Bézier patches by using the so–called rational blend technique. The proposed method gives a solution depending on free shape parameters which are fixed by minimizing different functionals linked to suitable surface metrics. It is illustrated by significant application examples.
KeywordsReverse engineering Fairing Rational Bézier patches
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