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Levelsetmethod.doc

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Levelsetmethod FromWikipedia,thefreeencyclopedia Jumpto:HYPERLINK"http://en.wikipedia.org/wiki/Level_set_method"\l"mw-head#mw-head"navigation,HYPERLINK"http://en.wikipedia.org/wiki/Level_set_method"\l"p-search#p-search"search Thelevelsetmethod(sometimesabbreviatedasLSM)isaHYPERLINK"http://en.wikipedia.org/wiki/Numerical_analysis"\o"Numericalanalysis"numericaltechniquefortrackinginterfacesandHYPERLINK"http://en.wikipedia.org/wiki/Shape"\o"Shape"shapes.TheadvantageofthelevelsetmethodisthatonecanperformnumericalcomputationsinvolvingHYPERLINK"http://en.wikipedia.org/wiki/Curve"\o"Curve"curvesandHYPERLINK"http://en.wikipedia.org/wiki/Surfaces"\o"Surfaces"surfacesonafixedHYPERLINK"http://en.wikipedia.org/wiki/Cartesian_grid"\o"Cartesiangrid"CartesiangridwithouthavingtoHYPERLINK"http://en.wikipedia.org/wiki/Parametric_surface"\o"Parametricsurface"parameterizetheseobjects(thisiscalledtheEulerianapproach).HYPERLINK"http://en.wikipedia.org/wiki/Level_set_method"\l"cite_note-0#cite_note-0"[1]Also,thelevelsetmethodmakesitveryeasytofollowshapesthatchangeHYPERLINK"http://en.wikipedia.org/wiki/Topology"\o"Topology"topology,forexamplewhenashapesplitsintwo,developsholes,orthereverseoftheseoperations.Allthesemakethelevelsetmethodagreattoolformodelingtime-varyingobjects,likeinflationofanHYPERLINK"http://en.wikipedia.org/wiki/Airbag"\o"Airbag"airbag,oradropofoilfloatinginwater. Contents [HYPERLINK"http://en.wikipedia.org/wiki/Level_set_method"\l"#"hide] HYPERLINK"http://en.wikipedia.org/wiki/Level_set_method"\l"Level_set_method#Level_set_method"1Levelsetmethod HYPERLINK"http://en.wikipedia.org/wiki/Level_set_method"\l"The_level_set_equation#The_level_set_equation"2Thelevelsetequation HYPERLINK"http://en.wikipedia.org/wiki/Level_set_method"\l"History#History"3History HYPERLINK"http://en.wikipedia.org/wiki/Level_set_method"\l"See_also#See_also"4Seealso HYPERLINK"http://en.wikipedia.org/wiki/Level_set_method"\l"References#References"5Refer