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 ( n log n ) 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.
distance map fast marching angle splitting fast sweeping geodesic distance parametric three-dimensional riemannian manifolds