简介:Thispaperpresentsanefficienttechniqueforprocessingof3Dmeshedsurfacesviasphericalwavelets.Morespecifically,aninput3Dmeshisfirstlytransformedintoasphericalvectorsignalbyafastlowdistortionsphericalparameterizationapproachbasedonsymmetryanalysisof3Dmeshes.Thissignalisthensampledonthespherewiththehelpofanadaptivesamplingscheme.Finally,thesampledsignalistransformedintothewaveletdomainaccordingtosphericalwavelettransformwheremany3Dmeshprocessingoperationscanbeimplementedsuchassmoothing,enhancement,compression,andsoon.Ourmaincontributionliesinincorporatingafastlowdistortionsphericalparameterizationapproachandanadaptivesamplingschemeintotheframeforprocessing3Dmeshedsurfacesbysphericalwavelets,whichcanhandlesurfaceswithcomplexshapes.Anumberofexperimentalexamplesdemonstratethatouralgorithmisrobustandefficient.
简介:Thispaperpresentsadirectmethodtofindtheinternalfaces.Itusesfoursetsofinformation:1getthecoordinatesofeachpointonthe3Dcompositeobjects;2basedonthe3Dcoordinatestocalculatealltheplaneequationoftwoobjects;3calculatealltheintersectinglinesofthetwoobjectsandexcludetheintersectinglineswhicharenotwithinthescopeoftheplane;4findingtheinternalface,theremainingintersectinglinesformedtheplaneistheinternalfaceofthetwoobjects.Weproposedanewalgorithmforfindinginternalfaces.Thisalgorithmcouldbeadaptedtoanyregularcompositeobjects.Thealgorithmworkswellforfindinginternalfaces.
简介:Aimingatachievingthehighaccuracy3Dmodelfromsliceimages,anewmodelreconstructionmethodusingsliceimagesisproposed.Wantingtoextracttheoutermostcontoursfromsliceimages,themethodoftheimprovedGVF-Snakemodelwithoptimizedforcefieldandraymethodisemployed.Andthen,the3Dmodelisreconstructedbycontourconnectionusingtheimprovedshortestdiagonalmethodandjudgmentfunctionofcontourfracture.Theresultsshowthattheaccuracyofreconstruction3Dmodelisimproved.
简介:Afamilyofpiecewiserationalquinticinterpolationispresented.Eachinterpolationofthefamily,whichisidentifieduniquelybythevalueofaparameterαi,isofC2continuitywithoutsolvingasystemofconsistencyequationsforthederivativevaluesattheknots,andcanbeexpressedbythebasisfunctions.InterpolantisofO(hr)accuracywhenf(x)?Cr[a,b],andtheerrorshaveonlyasmallfloatingforabigchangeoftheparameterαi,itmeanstheinterpolationisstablefortheparameter.Theinterpolationcanpreservetheshapepropertiesofthegivendata,suchasmonotonicityandconvexity,andaproperchoiceofparameterαiisgiven.
简介:UE-Bézier(unifiedandextendedBézier)basisistheunifiedformofBézier-likebases,includingpolynomialBézierbasis,trigonometricpolynomialandhyperbolicpolynomialBézierbasis.SimilartotheoriginalBézier-likebases,UE-Bézierbasisfunctionsarenotorthogonal.Inthispaper,agroupoforthogonalbasisisconstructedbasedonUE-Bézierbasis.ThetransformationmatricesbetweenUE-Bézierbasisandtheproposedorthogonalbasisarealsosolved.
简介:A3D-viewishelpfultoinstantlygraspwhatispresentedinadrawing.Thereexistavarietyofwaystopresentthesamepartwith3D-views.Tofacilitatethechoiceofanoptimumoneamongthem,theworkdividescompositesolidmodelsintothreecategories,soastoconveytheoriginalityofdesignconciselyandaccuratelybyusingtheleast'engineeringlanguage'.