Constraints on Curve Networks Suitable for G2 Interpolation

When interpolating a network of curves to create a C1 surface from spline patches, the network has to satisfy an algebraic condition, called the vertex enclosure constraint. We show the existence of a similar, additional constraint that governs the admissibility of curve networks for G2 interpolation by smooth patches.

• Type: Conference
• Year: 2010
• Where: GMP
• Authors: Thomas Hermann, Jörg Peters, Tim Strotman
• Keywords: Algebraic Condition, C1 Surface, GMP 2010, Solid Modeling, Vertex Enclosure Constraint