Abstract
When interpolating a network of curves to create a C 1 surface from smooth patches, the network has to satisfy an algebraic condition, called the vertex enclosure constraint. We show the existence of an additional constraint that governs the admissibility of curve networks for G 2 interpolation by smooth patches.
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Hermann, T., Peters, J., Strotman, T. (2010). Constraints on Curve Networks Suitable for G 2 Interpolation. In: Mourrain, B., Schaefer, S., Xu, G. (eds) Advances in Geometric Modeling and Processing. GMP 2010. Lecture Notes in Computer Science, vol 6130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13411-1_6
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DOI: https://doi.org/10.1007/978-3-642-13411-1_6
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