Geometrically Constrained Surface (Re)Construction

  • Gudrun Albrecht
  • Franca Caliò
  • Edie MiglioEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 809)


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.


Reverse engineering Fairing Rational Bézier patches 


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Copyright information

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Authors and Affiliations

  1. 1.Escuela de MatemáticasUniversidad Nacional de ColombiaMedellínColombia
  2. 2.Department of MathematicsPolitecnico di MilanoMilanItaly
  3. 3.MOX, Department of MathematicsPolitecnico di MilanoMilanItaly

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