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ADCM
2007

A non-linear circle-preserving subdivision scheme

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A non-linear circle-preserving subdivision scheme
We describe a new method for constructing a sequence of refined polygons, which starts with a sequence of points and associated normals. The newly generated points are sampled from circles which approximate adjacent points and the corresponding normals. By iterating the refinement procedure, we get a limit curve interpolating the data. We show that the limit curve is G1 , and that it reproduces circles. The method is invariant with respect to group of Euclidean similarities (including rigid transformations and scaling). We also discuss an experimental setup for a G2 construction and various possible extensions of the method.
Pavel Chalmovianský, Bert Jüttler
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2007
Where ADCM
Authors Pavel Chalmovianský, Bert Jüttler
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