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- W1812955259 abstract "Log-aesthetic curves (LACs), possessing monotone curvature and including many classical curves, have been widely used to describe fair shapes in geometric modeling. However, they are generally represented in non-polynomial form and are thus not compatible with current CAD systems. In this paper we present quintic polynomial approximation of LAC segments. For a given LAC segment, a quintic G2 interpolating Bézier curve is obtained by minimizing a curvature-based error metric, with the advantage of being more likely to preserve the monotone curvature property. Numerical experiments demonstrate that our method can usually generate better results than the previous methods in terms of the deviation in positions and curvatures." @default.
- W1812955259 created "2016-06-24" @default.
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- W1812955259 date "2016-04-01" @default.
- W1812955259 modified "2023-10-02" @default.
- W1812955259 title "Quintic polynomial approximation of log-aesthetic curves by curvature deviation" @default.
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- W1812955259 doi "https://doi.org/10.1016/j.cam.2015.10.002" @default.
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