MATLAB: Euler angle calculation

euler angles

Good Morning All,

I am attempting to use euler angles to readjust a coordinate system, the problem is I dont now how to calculate psi, theta and phi that will be used. Say I have a vector of [(x1,y1,z1) (x2,y2,z2)] and wish to denote (x1,y1,z1) as the origin. How can I calculate the euler angles between the origin and the vector? Any suggestions are greatly appreciated.

Thanks,

Mel

A better example is say I have v1=(100,125,150) and v2=(110,132,175). I would use v1 as the origin and calculate the euler angles from v1 to v2.

Best Answer

You cannot calculate a unique set of 3 Euler angles between two vectors. The transformation from one vector to the other has 2 degrees of freedom only, because the rotation around the final vector is undefined.

The two angles of spherical coordinates are sufficient to describe the transformation between two vectors.

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MATLAB: Cross product of two vectors(function)

V1=[v1x,v1y,v1z];
V2=[v2x,v2y,v2z];

Wrong code! you already have V1 and V2 not the other variables.

v1x=V1(1);v1y=V1(2);v1z=V1(3)
v2x=V2(1);v2y=V2(2);v2z=V2(3)

or just forget about those new variables and use only the V1 and V2

function [result]=cross_product(V1,V2)
%CROSS_PRODUCT calculates the cross product of two vectors.
i=(V1(2)*V2(3) - V2(2)*V1(3));
j=(V1(3)*V2(1) - V2(3)*V1(1));
k=(V1(1)*V2(2) - V2(1)*V1(2));
%result=i+j+k; %this is wrong
result=[i,j,k]; %this is right
end

MATLAB: Calculate the angle between multiple points

The ACOS and the corresponding ASIN approchs are numerically instable near to multiples of pi (half). Better use the more accurate ATAN2 method:

angle = atan2(norm(cross(v1,v2)), dot(v1,v2));

Best Answer

Related Solutions

MATLAB: Cross product of two vectors(function)

MATLAB: Calculate the angle between multiple points

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