animp rovedal g orithmofconstructin gterrainfeaturelinesbasedonmorsecomp lex
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Abstract
thecorrectconnectionoftheto p olo g icalrelationshi p sbetweencriticalp oints( orlines) isthebasisoftheearth’ ssurfacedescri p tion,terrainto p olo g icalsimp lification,org eomor p hicg enerali-zationofrelief.however,valle yandrid g elineoftenintersectatre g ularp oints;themacro-saddlescannotbeidentifiedwhenterrainfeaturelinesareextractedb ythetraditionalal g orithmsbasedonmorsecomp lex.inthisp a p er,animp rovedanduniversalal g orithmisp ro p osedusin gthedualit yofmorsecomp lex.inoura pp roach,these p aratrixofdescendin g( orascendin g)morsecomp lexisre g ar-dedastheconstrainedboundar yforextractin gthese p aratrixofthedualcomp lex.moreover,the“ macro-saddleline” coincidesexactl ywiththecorres p ondin gse p aratrixoftheconstructedcomp lex.asaresult,intersectionscanbep reventedandthemacro-saddlescanbeidentifiedwiththecomp letedecomp ositionofthewholeterrainsurface.intheend,anex p erimentvalidatedthecorrectnessandfeasibilit yofthisal g orithm.
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