Global coordintes to local (not on Matlab 2012!)

Hey,

I have been searching for a way to be able to define spherical coordinates of the points in a XYZ matrix, based on a local coordinate system (new origin and xyz axes). All I have been running into is this new global2localcoord code in Matlab 2012 that the previous versions apparently don't have.

Could someone help me figure out how to do this?

Answer 1

[Jan]

The general procedure is:

localCoor                 = rand(3, 100);
translationOfLocalOrigin  = rand(3, 1);
rotationOfLocalCoorSystem = <DirectionCosinMatrix>;  % [3 x 3] matrix

globalCoor = bsxfun(@minus, localCoor, translationOfLocalOrigin);
globalCoor = rotationOfLocalCoorSystem * globalCoor;

If you need more details, e.g. for the paraphrased "<DirectionCosinMatrix>", please post more details for your available input.

[Doctor61]

Thanks for your respond. What you proposed is actually very helpful, but I guess you got it backwards, I have a matrix with the global xyz coordinates, then I want to define a new set of coordinate system with a new origin and angles axes (which would be using the translationOfLocalOrigin and rotationOfLocalCoorSystem you defined above) and find my new xyz or eventually r,phi,theta with respect to that global coords.