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Designing using a rational cubic spline with point shape control

机译:使用带点形状控制的有理三次样条进行设计

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摘要

An alternative to the NURBS of degree three was discussed in [1] which provided a freeform design curve method based on the B-spline like formulation. This paper extends the work in [1] to describe the inter-polatory approach through the B-spline formulation. The curve method thus defined has full freedom of control at the control points and can be used in COmputer Aided Design (CAD)/ Computer Aided Manufacturing (CAM) or other relevant application fields. The scheme under discussion has different approach in its construction than [4] and provides a C~2 continuous solution to the methods of Boehm [2],Nielson [3], Barsky [4]and Foley [5].
机译:在[1]中讨论了三级NURBS的替代方法,该方法提供了基于B样条样公式的自由形式设计曲线方法。本文扩展了[1]中的工作,以通过B样条公式描述了插值方法。这样定义的曲线方法在控制点具有完全的控制自由度,可用于计算机辅助设计(CAD)/计算机辅助制造(CAM)或其他相关应用领域。所讨论的方案在构造上与[4]不同,并为Boehm [2],Nielson [3],Barsky [4]和Foley [5]的方法提供了C〜2连续解。

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