Filling polygonal holes with rectangular patches
Theory and practice of geometric modeling
On the G2 continuity of piecewise parametric surfaces
Mathematical methods in computer aided geometric design II
Joining smooth patches around a vertex to form a Ck surface
Computer Aided Geometric Design
Modeling surfaces of arbitrary topology using manifolds
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Computer Aided Geometric Design
Curvature continuous interpolation of curve meshes
Computer Aided Geometric Design
G2 interpolation of free form curve networks by biquintic Gregory patches
Computer Aided Geometric Design - Special issue: in memory of John Gregory
Geometric criteria on the higher order smoothness of composite surfaces
Computer Aided Geometric Design
Bezier and B-Spline Techniques
Bezier and B-Spline Techniques
A simple manifold-based construction of surfaces of arbitrary smoothness
ACM SIGGRAPH 2004 Papers
Computer Aided Geometric Design
A geometric criterion for smooth interpolation of curve networks
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
G2 tensor product splines over extraordinary vertices
SGP '08 Proceedings of the Symposium on Geometry Processing
Sketch-based modeling of smooth surfaces using adaptive curve networks
Proceedings of the Eighth Eurographics Symposium on Sketch-Based Interfaces and Modeling
Triangular bubble spline surfaces
Computer-Aided Design
Technical Section: Sketch-based surface design using malleable curve networks
Computers and Graphics
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When interpolating a network of curves to create a C1 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 G2 interpolation by smooth patches.