Spatial Distance of Point-Lines
Keyword(s):
A point-line is the combination of a directed line with a reference point on it. In this article, the spatial distance between two point-lines in space is defined based on a point-line displacement model. The displacement of a point-line from one position to the other is uniquely described as the composition of a pure translation along the point-line and a screw displacement about the common normal of the two positions. It is shown that such a displacement model leads to a simpler configuration of the underlying screw triangle and defines the shortest distance between two point-lines. The dual quaternion algebra is used to describe the idea with mathematic expressions.
2018 ◽
Vol 9
(21)
◽
pp. 459
Keyword(s):
2017 ◽
Keyword(s):
2021 ◽
pp. 247263032110233
Keyword(s):
Keyword(s):
1973 ◽
Vol 29
(3)
◽
pp. 359-375
Keyword(s):