HISTORY OF THE METHODS/FLOW CHART
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1996, 1999, 2006
The Narrow Band Level Set Method
The Narrow Band Level Set Method, introduced in Ref. 1 below, solves this problem by focusing computational energy in a thin band around the front itself. Using this approach, the operation count for the level set method drops from O(N*N) in two dimensions to O(k N), where N is the number of points in each space dimension and k is the width of the narrow band. Ref. 2 is an earlier use of this technique.
This savings is substantial; it allows three-dimensional interface evolution problems to be handled with ease.
New Book and Resource on Level Set and Fast Marching Methods