AssumingthataVoronoidiagramofsliceareaisobtained,topologicalstructuresofallVoronoiedgesandVoronoipolygonsareusedtoacceleratetheoffsettingprocess.OncewalklineintersectswithoneofVoronoiedgesofthestartingVoronoiobject,thenextstartingVoronoiobjectisacquiredthroughthetopologyrelationship.Experimentalresultsshowtheapproachiseffectiveandsimple.