資源描述：
《橋柿柿湯鞘巒牧》由會員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在工程資料-天天文庫。
1、CARGREDERGETHDSFRUASETSV.DrakopoulosDepartmentofnformaticsandTelecommunications,TheoreticalnformaticsUniversityofAthens,anepistimioupolis15784,AthensGreecevasilios@di.uoa.grhttp://cgi.di.uoa.gr/~vasiliosABSTRACTSequentialrenderingmethodsforthegraphicalrepresentati
2、onofuliasetsarecompared.Twogroupsofmethodsarepresented.nthe rst,theattractoroftheuliasetisrenderedand,inthesecond,thecomplementoftheattractorisrendered.Examplesofimagesobtainedusingthesemethodsarealsogiven.eywords:Attractor,uliaset,renderingmethods1TRDUCTk=1,ziscalleda
3、xedpointofp.aturally,at-ctractingmeansthatpointsznearawillgenerate0orbitsnefascinatingaspectoffractalsisthebeautyz7!z7!z7!z:::oftheirgraphicalrepresentation.Thispaperis0123devotedtoadiscussionofvariousfractalaspectsz=p(z),k=0;1;:::,whichapproacha.Byk+1ckinvolvedinthepolynomialp:
4、C!Cwithccollectingallsuchpointsoneobtainsthebasinofattractionofanattracting xedpointa2p(z)=z+c;c2C:(1)ckA(a)=fz2C:limp(z)=ag:(2)cck!1Thedynamicsofpisanenormouslyrichfoun-ctainoffractalstructures.Althoughthefractaltisobviousthat1isanattracting xedpointsetsgeneratedfromtheabove-men
5、tionedtrans-ofp.TheboundaryofA(1)isdenotedbyccformationhavebeendiscussedextensivelyinthe@A(1)andiscalledtheuliasetofp.Wealsoccliterature,asfarasweknow,nopreviouslypub-usethesymbol=@A(1).therthanA(1)ccclishedworkexiststhatcomprisesthebestknownand,alsotobeconsideredisathirdobjec
6、tcsequentialvisualisationmethodsandwhosescopeisthecomparisonoftheirperformances.norder=CnA(1)cctopresentthesemethods,wemust rstintroducek=fz2C:p(z)staysboundedforallkgcsomeusefulterminology.sometimescalledthe lled-inuliaset.bvi-Aperiodicorbitorcycleisasetofk2distinctously,weh
7、avethatpointsfa;:::;agsuchthat1k@==@A(1);cccp(a)=a;:::;p(a)=a;p(a)=a;c12ck
