, U(q) is the potential energy at q, β = 1 k B T , k B is the Boltzmann constant, and V(q) is the bias potential at a specific position q. An initial guess, which is usually the interpolation from the starting point to the end point, is specified, which is then optimised using the original, or the simplified string method, or the Nudged Elastic Band (NEB). In this study, we mainly focus on how to provide a good initial guess if a converged FEL is obtained. Currently, the mainstream method is the growing string approach, in which the linear interpolation between the starting point and the end point is optimised using the gradients or Hessians of the points between them. This work, however, provides an alternative approach that avoids expensive gradient evaluations to provide an approximate MFEP by utilising fast-matching-based path planning algorithms.