Weighted distance maps computation on parametric three-dimensional manifolds

We propose an efficient computational solver for eikonal equations on parametric three-dimensional manifolds. Our approach is based on the fast marching method for solving the eikonal equation in O(nlogn)O(nlogn) steps on n   grid points by numerically simulating wavefront propagation. The obtuse angle splitting problem is reformulated as a set of small integer linear programs, that can be solved in O(n)O(n). Numerical simulations demonstrate the accuracy of the proposed algorithm.