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附录DIVIDESTHESHAPEALGORITHMTHEANALYSISANDTHEDESIGNHASSTUDIEDTHEMINUTESHAPEPICTUREANALYSISPROCESS,PROPOSEDTHEREASONABLEMINUTESHAPEPICTUREWITHDREWTHEFLOWTOCOMPLETEUSINGVISUALCBASEDONTHEWINDOWSPLATFORMMINUTESHAPEDIMENSIONCOMPUTATIONALPROCEDUREFRACTALDIMENSIONCALCULATIONPROGRAMFDCPTHEDESIGN,ANDBYTHESTRAIGHTLINE,KANTUO,3POINTARRAY,THEKOCHCURVEDIVISIONSHAPEGRAPHCARRIEDONTOITHASDEMARCATEDDIVIDESTHESHAPETHEORY14THEWIDESPREADAPPLICATIONRELIESONTOISDIVIDEDTHESHAPEPICTUREAMINUTESHAPEWHICHWITHDRAWS,PROCESSINGANDINTHEMINUTESHAPEDIMENSIONCOMPUTATIONREALITYEXISTSNEARLYALLISTHERANDOMMINUTESHAPE,ITSDIMENSIONCOMPUTATIONHASAGAUGEMINUTESHAPETHEDIMENSIONTOBEMUCHMORECOMPLEXTHAN,MOREOVERHASMANYDIFFERENTCOMPUTATIONALMETHODS,THEYALLNEEDTOCARRYONTHEMASSIVEIMAGEANALYSISANDTHESTATISTICALOPERATIONTHEREFORETHEESTABLISHMENTCOMPUTERPROGRAMCOMPLETESWORKANDSOONIMAGEANALYSIS,PROCESSINGANDMINUTESHAPEDIMENSIONCOMPUTATIONISSOLUTIONABOVEQUESTIONEFFECTIVEMEANSVISUALCISATPRESENTMOSTPOPULARPROGRAMMINGLANGUAGE,ITHASTHEOBJECTORIENTEDPROGRAMMING,SUPPORTSWINDOWSALLCHARACTERISTICS,THEPROBABILITYISGOODANDSOONMERITTHISARTICLEUSESVISUALTHECDESIGNBASEDONWINDOWSTHEPLATFORMFDCPPROCEDURE1MINUTESHAPEIMAGEANALYSISMATERIALSSCIENCEDOMAINMANYPROCESSESALLHAVETHEMASSIVERANDOMMINUTESHAPES,LIKETHEMATERIALBREAK,THELIQUIDMETALCOAGULATION,THETHINFILMGROWTH,THEMATERIALOXIDATION,AGGLUTINATESWITHTHECORROSIONANDSOONBUTTHEMATERIALINITIALPICTUREGOLDENPICTURE,PICTURE,SEMANDTEMAPPEARANCELIKESANDSOONGENERALLYALLISTHESIMULATEDSIGNAL,MUSTFIRSTCOMPLETETHEDIGITIZEDPROCESS,THENDOESOTHERTHEINFORMATIONTOREMOVE,THUSWITHDRAWSTHEMINUTESHAPEGRAPHOBVIOUSLY,THISISAVERYCOMPLEXPROCESSMINUTESHAPEGRAPHWITHDRAWSTHEFLOWLIKECHART1TOSHOWFIRSTOBTAINSTHEMATERIALTESTSPECIMENTHEAPPEARANCEPICTURE,ASPRIMITIVEPICTUREUSINGEQUIPMENTANDSOONSCANNERPRIMITIVESEMORTEMANDSOONTHEAPPEARANCEPICTUREWILLINPUTINTHECOMPUTERANDBYTHECERTAINGRADATIONPICTUREDOCUMENTFORMATFOREXAMPLETIFF,BMP,PCXPRESERVESAFTERREMOVESTHENOISESIGNAL,CARRIESONCAREFULPROCESSINGTOTHEPICTUREENABLETHEPICTURETOHAVETHEAPPROPRIATECONTRASTGRADIENTCARRIESONTHEMINUTESHAPECHARACTERISTICUNDERTHEBESTCONTRASTGRADIENTCONDITIONWITHDRAWING,OBTAINSTHECORRESPONDINGMINUTESHAPEPICTUREORGRAPHBECAUSETHEWINDOWSOPERATINGSYSTEMISWIDELYUSED,THEBMPPICTUREFORMOBTAINSNEARLYPOSSESSESBASEDONTHEWINDOWSPLATFORMPICTURESOFTWARESUPPORT,THEREFORETHEMINUTESHAPEIMAGEANALYSISPROCEDUREUSESTHEBMPFORMTOCARRYONTHEDATASTORAGE,MOREOVERGENERALPICTUREPROCESSINGSOFTWAREGENERALLYALLCANCOMPLETEBETWEENTHEDIFFERENTPICTUREFORMTHETRANSFORMATIONBMPFORMPICTUREDOCUMENTTOBECOMPOSEDBY3PARTSPOSITIONCHARTARTICLEARTICLEBITMAPFILEHEADERCONSTRUCTIONOFDATA,POSITIONCHARTINFORMATIONBITMAPINFOCONSTRUCTIONOFDATAANDPOSITIONCHARTARRAYINFORMATIONANALYSISPOSITIONCHARTARTICLEARTICLEAFTERPOSITIONCHARTINFORMATIONCONSTRUCTIONOFDATA,CANCORRECTLYUSEINTHEPOSITIONCHARTARRAYTHEINFORMATIONMINUTESHAPEIMAGEANALYSISTOUSEVISUALWITHTHEMINUTEUYGURCOMPUTATIONALPROCEDURETHECLANGUAGEPROGRAMMING,TAKEWINDOWSASTHEWORKINGPLATFORMPOSITIONCHARTARRAYINFORMATIONHASRECORDEDTHEPICTUREEACHPICTUREELEMENTVALUEWHENTHEPRODUCTIONPICTURE,WINDOWSFROMTHEPICTURELEFTUNDERANGLESTARTSBYSCANLINETHEPICTURE,NAMELYFROMTOISLEFTRIGHT,FROMUNDERTOON,11RECORDEDTHESEBYTESTHEPICTUREPICTUREELEMENTVALUETOCOMPOSETHEPOSITIONCHARTARRAYINFORMATION,ITSRECORDINGORDERLIKECHART2SHOWEDTHEMINUTESHAPEPICTUREPRIMITIVEPICTUREGENERALLYALLISTHEGRADATIONPICTURECOLOREDPICTUREMAYPROCESSGRADATIONPICTURE,DIVIDEDTHESHAPECHARACTERISTICTOWITHDRAWMAINLYISJUDGESTHEDIFFERENTPICTUREACCORDINGTOITSGRADATIONDISTRIBUTIONSITUATIONTOHAVETHEDIFFERENTGRADATIONDISTRIBUTION,POSSIBLYAPPEARED1ORMANYGRADATIONPEAKVALUESBASISPEAKVALUEINTEGERASWELLASTHETREATINGPROCESSESDIFFERENCE,WASALLOWEDTOUSEDIFFERENTMETHODTOCOMPLETETHEGRADATIONPICTURETWOVALUESPROCESSESPICTURETWOVALUESISREFERSTHROUGHESTABLISHESSOMETHRESHOLDVALUE,ANDTAKETHISTHRESHOLDVALUEASTHETHRESHOLD,HASTHEMULTIGRADATIONLEVELTHEPICTUREINVERSIONTWOGRADATIONLEVELSPICTURENAMELYBLACKANDWHITECHART,NAMELYALLPICTUREELEMENTSRESPECTIVELYSETFORBLACKPICTUREELEMENTVALUEARE0ANDAREWHITEPICTUREELEMENTVALUEARE1THEDIFFERENTTHRESHOLDVALUEHYPOTHESISMETHODHAVEFORMEDTHEDIFFERENTTWOVALUESTREATINGPROCESSES,COMMONLYUSEDTWOVALUESPROCESSINGHADFOLLOWINGSEVERALMETHODS1FIXEDTHRESHOLDVALUELAWREGARDINGGRADATIONPICTURECOLLECTIONF,ISSMALLERTHANITWASEQUALTOORISBIGGERTHANWASEQUALTOSOMETHRESHOLDVALUETHETAPICTUREELEMENTFIJSETSIS0ISBIGGERTHANORISSMALLERTHANTHETATHEPICTUREELEMENTVALUEALLTOINSTALLINPARTSIS1AMONGTHEM,THEDIFFERENTPICTUREISDIFFERENTACCORDINGTOTHEGRADATIONDISTRIBUTIONPEAKVALUEMAYCHOOSETHEDIFFERENTTHETAVALUE2THEDOUBLEFIXEDTHRESHOLDVALUELAWHASTHEDOUBLEPEAKVALUEREGARDINGTHEGRADATIONDISTRIBUTIONPICTURECOLLECTIONF,MAYESTABLISH2DIFFERENTTHRESHOLDVALUESTHETA1ANDTHETA2THETA12DIVIDESTHESHAPEDIMENSIONCOMPUTATIONALPROCEDURETODESIGNFDCPTHEDESIGNTONEEDTOINVOLVETOTHEBIGMEMORYALLOCATION,THEREGRESSIONANALYSIS,THEMULTIWINDOWS,DATASHARINGANDTHEPOSITIONOPERATIONANDSOONMANYCONTENTS,THEREFOREUSESTHEOBJECTORIENTEDPROGRAMMINGOOPVISUALCISTHERELATIONALSCHEMATICDRAWINGHOSTWHICHDIVIDESBETWEENTHESHAPEDIMENSIONCOMPUTATIO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G3926G726G55G44FF,G37G48P,PCG59G1457存G727G2447G19512G3134G19911G1461G2507G2530,对图像进行G13466G14280处理G1363图像G1867有合适的对比G5242G727在G7380佳的对比G5242状G5589下进行分形G10317征的提取,得到G11468应的分形图像G6122图形由于WINDOWS操G1328系统被广泛G1363用,BMP图像G7696G5347得到几乎G6164有基于WINDOWS平台图像软G1226的G6915G6357,因此分形图像分析程序G18331用BMPG7696G5347进行数据存贮,而且通用的图像处理软G1226G980G14336都能完成不同图像G7696G5347之间的转换BMPG7696G5347的图像G7003G1226由3G1022部分组成G726位图G7003G1226头BITMAPFILEHEADER数据G13479构、位图G1461G5699BITMAPINFO数据G13479构和位图阵列G1461G5699分析位图G7003G1226头与位图G1461G5699数据G13479构之G2530,才能正确地利用位图阵列中的G1461G5699分形图像分析与分维计算程序G18331用VISUALCG16833G16340G13546程,以WINDOWSG1038G5049G1328平台位图阵列G1461G5699记录了图像的每G980G1022像素值在G10995成图像时,WINDOWSG1186图像的左下角开G3999逐行G6207G6563图像,即G1186左到右、G1186下到G990,G4570图像的像素值G980G980记录下G7481G17837些G4395节组成了位图阵列G1461G5699,其记录顺序G3926图2G6164G12046分形图像的G2419G3999图像G980G14336都是G9796G5242图像彩色图像G2499处理成G9796G5242图像,分形G10317征提取主要是根据其G9796G5242分布情况G7481判G7041不同的图像G1867有不同的G9796G5242分布,G2499能出现1G1022G6122多G1022G9796G5242峰值根据峰值G1022数以及处理过程的不同,G2499以用不同的方法完成G9796G5242图像的二值G2282过程图像的二值G2282是指通过设定某G1022阈值,并以该阈值G1038门限,把G1867有多G9796G5242级的图像变换成二G9796G5242级图像即黑白图,即G6164有的像素分别置G1038黑像素值G10380和白像素值G10381不同的阈值设定方法形成了不同的二值G2282处理过程,常用的二值G2282处理有以下几种方法G7261G3278定阈值法对于G9796G5242图像集F,G4570其小于等于G6122大于等于某阈值的像素FIJ置G10380G727大于G6122小于的像素值全部置G10381G727其中,不同的图像根据G9796G5242分布峰值的不同G2499以选择不同的值2双G3278定阈值法对于G9796G5242分布存在双峰值的图像集F,G2499以设定2G1022不同的阈值1与212当某G1022像素FIJ的像素值小于等于1G6122大于等于2时,G4570其置G10380G727当1FIJ2时,G4570其置G10381,反之亦G99943各自像素阈值法对于G9796G5242图像集F,设置图像数组同G7691大小的阈值数组,用阈值IJ对像素FIJ进行二值G2282,若FIJIJ,则FIJ0G727若FIJIJ,则FIJ1图3A是单晶SI在G980定条G1226下,其G8699G2282G14192G10995成的枝状晶的SEM形G16992像G7273B是其G9796G5242分布曲线G7273C是二值G2282G2530的黑白图像G7273D是在此基础G990建立的边界不同的研究G20058G3507对分形G10317征的要求是不G980G7691的G3926果研究的对G16949是枝状晶,则图3CG2499以G1328G1038分形图像G727G3926果研究的对G16949是枝晶的边界G6122其G1194类海岸线,则需要建立其边界,即图3DG4570二值G2282图像的各种滤波空间邻G3507处理方法G13479合G8181糊数G4410,以G1457证精确建立图像的边界,G3926颗粒G7460G7021的边界、晶粒边界、G8699G2282界G19766、扩散界G19766等,G9994G2530G2499以对建立的边界进行各种测量,得到需要的G1461G56992分形维数计算程序设计FDCP的设计需要涉及到大内存分配、回归分析、多窗口、数据共享与位运算等诸多内容,因此G18331用G19766G2533对G16949G13546程OOP的VISUALCG1328G1038FDCP的程序设计G16833G16340图4是分形维数计算程序各功能G8181块之间的关系G12046G5859图主G6523G8181块G6523G2058G6984G1022程序的窗口G7706G7562与G4388窗口的用G6155G2318的G2059G7044、G9052G5699G1268G17894与处理以及各G1022功能G4388G8181块的G15912G6521G727图像G7186G12046G8181块G17139G17143完成在G4388窗口用G6155G2318内G7186G12046分形图像以及计算G13479果G727计算G8181块G2460G2265G63364G1022不同计算方法的功能G4388G8181块,它们分别是G2620G19283G19766G12227法、G11430计数法、G2334G5464法与变量法,G17837些计算G4388G8181块用不同的方法对分形图像的维数进行计算G727数据G1144换G8181块主要用于与其G1194WINDOWS程序G6122软G1226进行数据G1144换G7424程序G18331用G21种不同的方法,即利用G2110G17160G7507和WG48F图G10267G7003G1226与数据G7003G1226利用G2499G16282G2282G13546程G16833G16340VISUALC的基G7424类G5223MICROSOFTFOUNDATIONCLASSMFC进行G13546程,G2499以G1817分利用CG16833G16340G19766G2533对G16949G13546程的G1260点,能G3827提G20652G1207G11733的G6203行G6940G10587,G1457证程序G7143于扩G1817、维G6264、G12239G7905,G1207G11733G13051G1957,G6940G10587G20652等G1260点,同时G2460G1817分利用了WINDOWS平台G6915G6357多G1231G2165的G10317点,容G7143实现不同应用程序间的数据G1144换G2490G3818G17836G2499以根据需要,对计算G8181块G1328G114

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