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Lecture Notes in Computer Science
Prescribing a network of curves to be interpolated by a surface model is a standard approach in geometric design. Where n curves meet, even when they afford a common normal direction, they need to satisfy an algebraic condition, called the vertex enclosure constraint, to allow for an interpolating piecewise polynomial C 1 surface. Here we prove the existence of an additional, more subtle constraint that governs the admissibility of curve networks for G 2 interpolation. Additionally, analogousdoi:10.1007/978-3-642-13411-1_6 fatcat:7n32xwj2yvgiteqq7fgd5qsdsa