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- W2352284363 abstract "The offset of planar curve possesses plentifully geometric structure, which is applied widely in many fields include surface modeling, NC machining robotics and motion planning, as well as other areas of automation. But the offset of the rational parameter polynomial curve can not retain the same curve type with the origin curve except some curve types such as linear, arc and Hodograghs and so on. Therefore the approximation method of offset curve is adopted in many commercial geometric modeling systems in order to the unified expression of data structure and geometric algorithm in the CAD system. In this paper, two approximation approaches are presented in according to the character of NURBS curve, one of which is the perturbing of control points based on the subdivision of curve, and the other is based of the removing of whole control points. Two methods can control the error precision of approximation at will. Furthermore, the algorithms are simple, intuitive and are implemented easily in the system. Examples verify the efficiency and reliability of algorithms, which were implemented in the commercial geometric modeling systems Gems 5.0 developed by CAD Center of Tsinghua University." @default.
- W2352284363 created "2016-06-24" @default.
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- W2352284363 date "1999-01-01" @default.
- W2352284363 modified "2023-09-28" @default.
- W2352284363 title "THE APPROXIMATION OF 2D NURBS OFFSET CURVE VIA PERTURBING CONTROL POINTS" @default.
- W2352284363 hasPublicationYear "1999" @default.
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