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Directional Offset of a Spatial Curve for Practical Engineering Design

机译:实用工程设计中空间曲线的方向偏移

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摘要

In this paper, we propose a 3D curve offset method, named directional offset, motivated from the observation of the needs in many engineering design practices such as flange of sheet metal parts. Since the normal vector of a 3D curve at a point is not unique, a 3D curve offset definition is about selecting the offset direction vector on the normal plane of the curve. In directional offset, the offset direction vector is chosen to be perpendicular to the user-specified projection direction vector as well as the curve tangent vector. Directional offset is a natural extension of planar curve offset, in the sense that they produce the same results when applied to planar curve. An overall procedure to compute a directional offset for a position-continuous NURBS curve is described with an emphasis on avoiding self-intersection loop.
机译:在本文中,我们提出了一种3D曲线偏移方法,称为方向偏移,它是根据对许多工程设计实践(例如钣金零件的法兰)需求的观察而提出的。由于3D曲线在某点的法线向量不是唯一的,因此3D曲线偏移定义是关于选择曲线法线平面上的偏移方向向量。在方向偏移中,将偏移方向向量选择为与用户指定的投影方向向量以及曲线切线向量垂直。方向偏移是平面曲线偏移的自然扩展,从某种意义上说,方向偏移在应用于平面曲线时会产生相同的结果。描述了计算位置连续NURBS曲线的方向偏移的总体过程,重点是避免自相交环路。

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