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- W2057671502 abstract "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 $$G^1$$ , 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 $$G^2$$ construction and various possible extensions of the method." @default.
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- W2057671502 date "2006-11-25" @default.
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- W2057671502 title "A non-linear circle-preserving subdivision scheme" @default.
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- W2057671502 doi "https://doi.org/10.1007/s10444-005-9011-y" @default.
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