Fast Iterative Method in Solving Eikonal Equations: A Multi-level Parallel Approach

Abstract The fast marching method is widely used to solve the eikonal equation. By introducing a new way of managing propagation interfaces which avoid the use of expensive data structures, the fast iterative method reveals to be a faster variant with a higher parallel potential compared to the fast marching method. We investigate in this paper a multi-level parallel approach for the fast iterative method which is well fitted for today heterogenous and hierarchical architectures. We show experiment results which focus on the fine-grained parallel level of the algorithm and we give a performance analysis.

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