Bicubic patches for approximating non-rectangular control-point meshes
Computer Aided Geometric Design
G1 interpolation of generally unrestricted cubic Bézier curves
Computer Aided Geometric Design - Special issue: Topics in CAGD
Errata: G1 interpolation of generally unrestricted cubic Bézier curves
Computer Aided Geometric Design
Curves and surfaces
Interpolation on surfaces using minimum norm networks
Computer Aided Geometric Design
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in R3
Computer Aided Geometric Design
SIAM Journal on Numerical Analysis
G2 interpolation of free form curve networks by biquintic Gregory patches
Computer Aided Geometric Design - Special issue: in memory of John Gregory
Degenerate Be´zier patches with continuous curvature
Computer Aided Geometric Design
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Bezier and B-Spline Techniques
Bezier and B-Spline Techniques
Design of solids with free-form surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
On the complexity of smooth spline surfaces from quad meshes
Computer Aided Geometric Design
Triangular bubble spline surfaces
Computer-Aided Design
Constraints on curve networks suitable for G2 interpolation
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
Curve networks compatible with G2 surfacing
Computer Aided Geometric Design
| Hi-index | 0.00 |
A key problem when interpolating a network of curves occurs at vertices: an algebraic condition called the vertex enclosure constraint must hold wherever an even number of curves meet. This paper recasts the constraint in terms of the local geometry of the curve network. This allows formulating a new geometric constraint, related to Euler's Theorem on local curvature, that implies the vertex enclosure constraint and is equivalent to it where four curve segments meet without forming an X.