Abstract:A nonlinear 3D rectangular coordinate transformation method based on the Levenberg-Marquarat algorithm,which is effective when normal equation is ill-conditioned or singular,is proposed. The problem of divergencein the process of iteration,which arises due to different dimensions between translation amount and rotation angle,is effectively resolved.A neat and effective model of iterative solving is designed and a stable parametric solution is achieved.Finally, the effectiveness and correctness of the method is proven by comparative analysis of simulated data.