MATLAB Implementation for Coordinate Transformation Using Optimization Methods

Coordinate Transformation: Determines transformation relationship between two coordinate systems A and B using optimization methods with standard 7-parameter transformation (translation along x,y,z; rotation about x,y,z axes; and scaling factor). Includes spatial rotation formulas. Input: point coordinates in systems A and B. Output: transformation parameters (u,v,w: translation along x,y,z; α,β,γ: rotation angles about x,y,z axes; k: scaling factor).