Two-step B-splines regularization method for solving an ill-posed problem of impact-force reconstruction

This paper presents a new method to accurately solve an ill-posed problem of the impact-force reconstruction. The method utilizes B-splines to approximate and to regularize the impact-force profile. The method computes the optimal solution in two steps: the first step estimates the global profile of the impact-force, and the second step refines the force obtained in the first step. The method provides a more accurate solution because it incorporates more prior information than existing methods. Three numerical experiments presented in this paper demonstrate effectiveness of the method.