Projection between two coordinate systems
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I have two coordinate systems as the picture shown. I know the origin and unit vectors of the two coordinate systems. now, I want to project the coordinates in one coordinate system to another system. how could I do using Matlab? Thanks in advance!
回答（1 个）
Honglei Chen
2018-9-24
Let's use coodinate system g as the reference and assume your coordinates are Pg = [xg;yg;zg]. For coordinate system l, the orgin is Ol = [xolg;yolg;zolg] and the three unit vectors are Xlg, Ylg, and Zlg. So you can define the transform matrix as [Xlg Ylg Zlg]. Then the new coordinate Pl can be represented as
Pl = M.'*(Pg-Ol)
If you have access to Phased Array System Toolbox, then you can try using
<https://www.mathworks.com/help/phased/ref/local2globalcoord.html>
or
<https://www.mathworks.com/help/phased/ref/global2localcoord.htm> l
depending on which one you want to use as a reference.
HTH
3 个评论
Yang Lu
2018-9-25
Honglei Chen
2018-9-25
Could you be more specific? From my perspective, a line is a collection of points, so you can just line up multiple points in Pg and everything should work as is.
HTH
Yang Lu
2018-9-25
I am sorry for that I did not make clear. I got a series of coordinates of one profile in one coordinate system and now I want to project all the coordinates to another coordinate system. Hope the following picture can help to understand my question. So I can get the coordinates in the current coordinate system. I do not think the active and passive coordinate transformation is useful here.
Merci!
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