How I can convert the U,V,W coordinates to its respective angles?

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Hello, I have obtained the U,V,W coordinates of the normal vectors from a surface, using surfnorm, but i need its angles, not the coordinates, Is there some function on matlab or other method to obtain the angles corresponding to the U,V,W coordinates? Sorry for my English. Thanks in advance.

Accepted Answer

Mohammad Abouali
Mohammad Abouali on 25 Aug 2015
Edited: Mohammad Abouali on 25 Aug 2015
You have to define first the angle relative to what.
Let's say you want the angle relative to x-y plane. A vector that is perpendicular to x-y plane is [0 0 1] then you can compute the angle of your vector to that plane as:
V1=[u,v,w];
V2=[0,0,1];
Angle_Rad=pi/2-acos(dot(V1,V2)./(norm(V1).*norm(V2)))
Angle_Deg=Angle_Rad*180/pi

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