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SMA
2009
ACM

A geometric criterion for smooth interpolation of curve networks

13 years 10 months ago
A geometric criterion for smooth interpolation of curve networks
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.
T. Hermann, J. Peters, T. Strotman
Added 28 May 2010
Updated 28 May 2010
Type Conference
Year 2009
Where SMA
Authors T. Hermann, J. Peters, T. Strotman
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