Fast marching method: Difference between revisions

Revision as of 20:57, 23 June 2009

Revision as of 15:35, 3 July 2009

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The '''fast marching method''' is introduced by [[James Sethian|James A. Sethian]] as a numerical method for solving [[boundary

value problem | boundary value problems]] of the form:

: <math>F(x)|\nabla T(x)|=1.</math>.

Typically, such a problem describes the evolution of a closed curve as a function of time <math>T</math> with speed <math>F(x)</math> in the normal direction at a point <math>x</math> on the curve. The speed function is specified, and the time at which the contour crosses a point <math>x</math> is obtained by solving the equation.