Level set (data structures): Difference between revisions

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==Chronological developments==
The powerful [[level -set method]] is due to [[Stanley Osher|Osher]] and [[James Sethian|Sethian]] 1988.<ref name=Osher>Osher, S. & Sethian, J. A. 1988. "Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi
formulations". ''Journal of Computation Physics'' 79:12–49.</ref> However, the straightforward implementation via a dense d-dimensional [[array data structure|array]] of values, results in both time and storage complexity of <math>O(n^d)</math>, where <math>n</math> is the cross sectional resolution of the spatial extents of the ___domain and <math>d</math> is the number of spatial dimensions of the ___domain.