O(N) implementation of the fast marching algorithm
Published
Journal Article
In this note we present an implementation of the fast marching algorithm for solving Eikonal equations that in practice reduces the original run-time from O(N log N) to linear. This lower run-time cost is obtained while keeping an error bound of the same order of magnitude as the original algorithm. This improvement is achieved introducing the straight forward untidy priority queue, obtained via a quantization of the priorities in the marching computation. We present the underlying framework, estimations on the error, and examples showing the usefulness of the proposed approach. © 2005 Elsevier Inc. All rights reserved.
Full Text
Duke Authors
Cited Authors
- Yatziv, L; Bartesaghi, A; Sapiro, G
Published Date
- March 1, 2006
Published In
Volume / Issue
- 212 / 2
Start / End Page
- 393 - 399
Electronic International Standard Serial Number (EISSN)
- 1090-2716
International Standard Serial Number (ISSN)
- 0021-9991
Digital Object Identifier (DOI)
- 10.1016/j.jcp.2005.08.005
Citation Source
- Scopus