螺旋中心轴角度 [英] helix central axis angle

问题描述

我在[x,y,z]中有N个点，并且这种形状呈螺旋形.是否有可能找到这种螺旋的中心轴.这不是中心轴为global X, Y and Z axis

I have N points in [x,y,z] and this kind of takes a helix shape. Is it possible to find the central axis of such a helix. This is not a regular helix with the central axis as either of global X, Y and Z axis

当我绘制曲线时，曲线与global Z axis呈特定角度.

When I plot the curve looks at a particular angle to the global Z axis.

我的目的是知道中心轴与global z axis形成的角度?

My aim is to know the angle the central axis is making with the global z axis?

推荐答案

如果您的N个点足够密集(或等距)，则切向矢量(连续点的差分矢量)将形成一个圆锥，其中心方向轴线与螺旋轴线的方向重合，并且其基本平面与该轴线方向正交.螺旋线在该法向平面上的投影将给出一个以螺旋线轴为中心的圆.

If your N points are dense enough (or equi-distant), the tangential vectors (diff vectors of consecutive points) will form a cone whose direction of the center axis coincides with direction of the helix axis and whose base plane is orthogonal to this axis direction. A projection of the helix into this normal plane will give a circle with a center on the helix axis.

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