I have points ( how many we needs) with coordinates $(x_1,y_1)$ , $(x_2,y_2)$ , $(x_3,y_3)$ ... in the cartesian System 1 ( actually, a millimetered sheet ) and the corresponding coordinates $(a_1,b_1)$ , $(a_2,b_2)$ , $(a_3,b_3)$ in another system, System 2, that we can assume cartesian.
E.g. from manual measurement I know points :
A is (334,491) in System 1, and ( 46.604856, 34.833369 ) in System 2
B is ( 1273,209 ) in System 1, and ( 46.609281, 34.835422 ) in System 2
C is ( 1721,1032 ) in System 1, and ( 46.608634, 34.840995 ) in System 2
Surely are involved a rotation, a linear deformation and a translation. I must find them, to calculate the coordinates of an arbitrary but near point ( near to my known points ) in a system, given the coordinates in the other.
I read Change from one cartesian co-ordinate system to another by translation and rotation. getting few hints, my level is far below this problem
Thanks in advance