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Given a 2-manifold triangular mesh $$M \subset {\mathbb {R}}^3$$ M ⊂ R 3 , with border, a parameterization of $$M$$ M is a FACE or trimmed surface $$F=\{S,L_0,\ldots ,L_m\}$$ F = { S , L 0 , … , L m } . $$F$$ F is a connected subset or region of a parametric surface $$S$$ S , bounded by a set of LOOPs $$L_0,\ldots ,L_m$$ L 0 , … , L m...
Reverse Engineering (RE) requires representing with free forms (NURBS, Spline, Bézier) a real surface $$S_0$$ S 0 which has been point-sampled. To serve this purpose, we have implemented an algorithm that minimizes the accumulated distance between the free form and the (noisy) point sample. We use a dual-distance calculation point to / from surfaces, which discourages the forming of outliers...
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