欢迎来到天天文库
浏览记录
ID:34815913
大小:545.33 KB
页数:7页
时间:2019-03-11
《A Monte Carlo Approach for c Placement in Fractal-Dimension Calculations for Waveform Graphs.pdf》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、203AMonteCarloApproachforcPlacementinFractal-DimensionCalculationsforWaveformGraphsC.A.Pickover“)AbstracthasbeenstudiedextensivelybyB.Mandelbrot.whoManydiverseandcomplicatedobjectsofnatureandcoinedtheword“fractal”(in1975)todescribesuchmathpossessthequalityofself-similarity.andalgo-irreg
2、ularshapes2Fractalobjectshaveincreasingrithmswhichproduceself-similarshapesprovideawayfeaturesrevealedwithincreasingmagnification(unlikeforcomputergraphicstorepresentnaturalstructures.acircle’sedgewhichisfeaturelesswhenmagnified).Foravarietyofstudiesinsignalprocessingandshape-Usingtheco
3、nceptsoffractalgeometry,computerscien-characterization,itisusefultocomparethestructurestistshavegraphicallyportrayedmountainsandterrainofmanydifferent“objects”.Unfortunately,largewithstartlingreali~m.~.~Algorithmsforthegenerationamountsofcomputertimeareneededasprerequisiteofbeautifuland
4、complicatedfractalsbasedoniterativeforrigorousself-similaritycharacterizationandcom-functionsarealsobeingstudied.andtheirpopularityisparison.Thepresentpaperdescribesafastcomputerevidencedbytheproliferatingcomputergraphicsinthetechniqueforthecharacterizationofself-similarshapesscientific
5、andpopularliterat~re.’.~.~.~.~.loandsignalsbaseduponMonteCarlomethods.TheThispresentpaperdescribesafastcomputeralgorithmisspecificallydesignedfordigitizedinputtechniqueforthecharacterizationofself-similarshapes(e.g.pictures,acousticwaveforms,analyticfunctions)ofnatureandmath.Thealgorith
6、misspecificallywheretheself-similarityisnotobviousfromvisualdesignedfordigitizedinput(e.g.pictures,waveforms,inspectionofjustafewsamplemagnifications.Aanalyticfunctions)wheretheself-similarityisnotobvi-speechwaveformgraphisusedasanexample,andousfromvisualinspectionofjustafewsampleadditi
7、onalgraphicsareincludedasavisualaidforcon-magnifications.AspeechwaveformgraphisusedasanceptualizingtheMonteCarloprocesswhenappliedtoexample.Thepotentialbenefitoffractalcharacteriza-speechwaveforms.tionforspeechstudieshasbeendiscussedpreviously,’’andthespeedinherentinthetechniqu
此文档下载收益归作者所有