Variational Surface Design and Surface Interrogation

Abstract : The generation of technical smooth surfaces from a mesh of three-dimensional data points is an important problem in geometric modelling. In this publication we give a survey of some new techniques based on a calculus of variation approach. Apart from the pure construction of these surfaces, the analysis of their quality is equally important in the design and manufacturing process. Generalized focal surfaces are presented here as a new surface interrogation tool.
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H. Hagen, Stefanie Hahmann, Georges-Pierre Bonneau. Variational Surface Design and Surface Interrogation. Computer Graphics Forum, Wiley, 1993, 12 (3), pp.447 - 459. ⟨10.1109/VISUAL.1996.567602⟩. ⟨hal-01708589⟩

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