1、INTERNATIONA1.STANDARDISO25178-2editionSecOnd202142Geometrica1.productspecifications(GPS)Surfacetexture:Area1.一赌1.1.喳，definitionsandsurfacetextureparametersSpecificationgeometriquedesproduits(GPS)Iztatdesurface:SurfaciquePanie2:Termesfdefinitionsetparametresd,etatsdesurfaceReferencenumberISO25178220
2、21(E)COPYRIGHTPROTECTEDDOCUMENTISO2021IUirhM*hedbdi1.iUedotherwiseupdhi.orbmtndH0tf1.ttoni(nc4nmpe*MqnrtiatfifiHipB1.andonnet8CH-1214Vernier,GenevaPhone：M1.227490111觥曲ite：图洲跳触OQrgPub1.ishedinSwitzer1.andContentsForeword422Genera1.mRan.154.2.5Maximumpeakheight164.3Spatia1.parameters164.3.5Dominantdir
3、ection184.4.3Deve1.opedinterfacia1.gradient184.5.3Materia1.area1.materia1.difference204.5.6Matura1.vo1.umc.m.i,.254.7.2Morpho1.ogica1.284.7.5Vo1.ume-Sca1.efractaIcomp1.exity2953SegtDen【ation.aa-Mt*MMMMMaMaa三Ma*a32iiiIntroductionviScope1Normativereferences1Termsanddefinitions3.1Genera1.terms13.2Geome
4、trica1.parameterterms5tFie1.dparameters154.1Genera1.154.2Freightmeters.154.2.1Rootsquareheight4.23Skewness154.2.4Kurtosis1544.46782.z2.pitdepthMaximumheight16Arithmeticmeanheight161.1.1 Genera1.1.1.2 Autocorre1.ation1.ength161.1.3 Textureaspectratio17Texturespatia1.wave1.ength4.4 Hybridparameters184
5、4.1 Genera1.184.4.2 ROotmeansquareratio4.5 Materia)ratiofunctionsandre1.atedparameters194.5.1 Area1.materia1.ratio194.5.2 Inverseratioheightratio4.5.4 rea1.parameterforstratifiedsurfaces4.5.5 Area1.materia1.probabi1.ityparameters4.5.7 Voidvo1.ume4.6 Gradientdistribution264.7 Mu1.tisca1.egeometric(f
6、racta1.)methods284.7.1 Re1.ativeareavo)ume-sc1.efunction4*7.3Re1.atIye1.ength.294.7.4 Sca1.eofobsenratio11294.7.6 Area-sca1.e4.7.7 1.ength-p1.exity304.7.8 Crossoversw1.e30Featureparameters305.1 Genero1.305.2 Typeoftexturefeature315.4 Determiningsignificantfeatures5.65.75.8Atctibn1.oNhi1.tancsiUribut
7、es.一._.34Featurecharacterizationconvention34featureParameterS.35品朋器股期。fPea心355.8.3 Densityofpits355.8.4 Arithmeticmeanpeakcurvature.35多葩聆缶裾吩睢f1.1.gHi型必_365.8.7 Five-pointpitdepth.365.8.8 Ten-pointheight365.9Jitiona1.GeParameters5.9.2Shapeparameters37AnnexA(informative)Mu1.tisca1.egeometric(fracta1.)
8、methods40Annex B (informative)Determinationofarea1.parametersforstratifiedfunctiona1.surfaces47Annex C (informative)Basisforarea1.surfacetexturestandards-Timetab1.eofevents50Annex D (informative)Imp1.ementationdetai1.s.一.一.一.51AnnexE(informative)Changesmadetothe2012editionofthisdocument.55Annex F (i
9、nformative)SUmmaryofarea1.surfacetextureparameters57Annex G (informative)Specificationana1.ysisworkf1.ow59Annex H (informative)Overviewofprofi1.eandarea1.standardsintheGPSmatrixmode1.60Annex I (informative)Re1.ationwiththeGPSmatrix.61Bib1.iography62Forewordthrough(1.SOmittees.workofPreparingbody1.nt
10、emationa1.Standardsisnorma1.1.ytechnica1.e1.ectrotechnica1.standardization.Internationa1.E1.ectrotechnica1.Commission(IEC)ona1.1.mattersofdescribedtypesOf1.SO/IECdOCUmentSshou1.dbeparti1.ar,documentWasapprova1.accordancewiththeAttcntionrigh1.s.drawnsha1.1.notpossibi1.ityresponsib1.cforidentifyingany
11、thisdOcumen1.patentrights,subjectofconstitutenameendorsement,domentisinformationgivenfortheconvenienceofusersanddoesnotexpressionsre1.ated11ganization(WTO)assessment,asinwe1.1.asinformationBarrierstoTradeadherenceseespecificationswasverificationfbyCoIIaborationCommitteeEuropeanDimensiona1.Standardiz
12、ationprodwcrrevised.secondeciitioncha11gesandthepreviouseditioneditiondescrihed25178-2:2012),whichhasbeentechnica1.1.ycomp1.eteIistingquestionsbodiesthiscandocumentWWWro13gWanbeFs排m1.nationa1.standardsbody.SO2021-A1.1.rightsreservedISO(theInternationa1.OrganizationforStandardization)isawor1.dwidefed
13、erationofnationa1.standardsbodiesmemberbodies).TheEachmemberinterestedinsubjectforwhichcarriedoutcommitteehasbeenestab1.ishedhastherighttoberepresentedonthatcommittee.Internationa1.organizations,governmenta1.andnongovernmenta1.,in1.iaisonwithISO,a1.sotakepartinthework.ISOco1.1.aboratesc1.ose1.ywitht
14、heTheproceduresusedtodeve1.opthisdocumentandthoseintendedforitsfurthermaintenancearcvdifferentintheDirectives,Part1.Innotud.ThiSthedifferentdraftedincriteriaforeditoria1.ru1.esoftheISO/IECDirectives,Part2(seewww.iso.org/direc1.ives).patentISOtothebehe1.dthatsomethee1.ementsofora1.1.suchmaybetheDetai
15、1.sanypatentrightsidentified(Iuringthedeve1.opmentCehawi1.1.beintheIntroductionand/orontheISO1.istofpatentdec1.arationsreceived(secwww.iso.org/patents).AnytradeusedinthisForanexp1.anationofthevo1.untarynatureofstandards,themeaningofISOspecifictermsandtheWor1.dTradeconformityprincip1.esCheTechnicaIab
16、outISO,s(TBT),towww.iso.org/iso/foreword.htm1.ThisdocumenJt/preparedinTechnica1.withthe1.SO/TC213rCo11mitteeforgeometricai(CEN)Technica1.CommitteeCEN/TC290,Dimensiona1.andgeometrica1.productspecificationandverification,inaccordancewiththeAgreementontechnica1.cooperationbetweenISOandCEN(ViennaAgieeme
17、nt).ThisThemaincance1.storep1.acesthefirstare(ISOinAnnexE.1.istofa1.1.partsintheISO25178seriescanbefoundontheISOwebsite.Anyfeedbackoroftheseonbefoundatshou1.ddirectedusers.Introductiontexture.standard(seeISO14638).Itinf1.uencesthechain1.inkBofthechainsofstandardsonarea1.surfacedocumentdecisionru1.es
18、fundamenta1.14253-1ISO/GPSgivenspecificationsmadeinaccordancedocumentthismode1.,Seedetai1.ed1.informationofofstandardsonProfi1.esdocunientarea1.surfacestandardsgivenGPSmatrixThroughoutUseddocumentrSentenceparameterswrittenasabbreviationssubscripts1.ower-caseorsuffixeswhenuseddatasheets.Parametersare
19、primarycontinuouscaserbutinverificationtheyareca1.cu1.atedondiscreteviNOTETheratioisexpressedinpercentSeeFinFigure15.KeyBreference1.ineEeva1.uation1.engthHSvq1s1.opeofa1.inearregressionperformedthroughtheda1.eregionFigure15Sca1.e-1.imitedsurfacewithitscorrespondingarea1.materia1.probabi1.itycurveand
20、theregionsusedinthedefinitionsoftheparametersSpq,SvqandSmq4.5.6Voidvo1.ume4.5.6.1 Voidvo1.umeparameterfromvoidvo1.umeparameteriscurve.vo1.umeca1.cu1.ate(iaccordingFonnu1.agivenmateria1.Fwe46.ca1.cu1.ated-87oo%内(P)=IO0%+(SnX(P)Sc(q)dqKVq4.5.6.2 Da1.evoidvo1.umeFormu1.avoidvo1.umeparameteristheda1.evo
21、1.umeatpmateria1.ratio.Itisca1.cu1.atedaccordingtovVv(p)4.5.6.3 Corevoidvo1.umeTheca1.cu1.atedaccordingparameteris(23)differencein1.6voidvo1.umebetweenthepandqmateria1.ratio.ItVvc=Vv(p)R(GNOTEMateria1.defau1.tvo1.umeofpandqarefoundInISO25178-3.4.5.7.1Materia1.vo1.umeparameterca1.cu1.atedfromvo1.umep
22、arameterisratiovo1.uneofisca1.cu1.atedaccordingareaFormu1.agivenmateria1.Figuie-1.-106p1.m(p)=100%+Sm1.(j)Sm(P)MqO2021-A1.1.rightsreservedVwTheda1.e(22).SeeFigure16.(22)NOTEThedefau1.tva1.uesOfPcanbefoundinISO2S1783.25Vvciscorevoidvo1.umetoFormu1.athe.SeeFigure.(23)wherepq.4.5.7Theva1.uesVm(P)Themat
23、eria1.thearea1.materia1.thecurve.Itthemateria1.perunittoat(24).SeeratiopK(24)whereisaconstanttoconverttomi1.1.i1.itrespersquaremetreortomicrometrecubepersquaremi1.1.imetreorequiva1.ent.Xarea1.materia1.ratioYheightFigure 16 Voidvo1.umeandmateria1.vo1.umeparameters16.5.7.2 Peakmateria1.vo1.umeVmp吩MM*q
24、RaranWtUriSthemateria1.vo1.umeatpmateria1.ratio.Itisca1.cu1.atedaccording(25)Vmp=1.zm(p)NOTEThedefau1.tva1.ueofpIsfoundinISO25178-3.16.5.7.3 Coremateria1.vo1.umeVmcAnwprding陵anca次OrBe)崎(ffe11wceFijremateria1.vo1.umebetweenthepandqmateria1.Mmc=Vrm(q)二Vm(P)(26)wherepnjS4peantidod6tegradicfcfa1.ttiiito
25、nxSv*tosieiucc18fortbrtw5uhMizomHh艇We陶四穗出加漳供kimSm决3)如得曲伴hvef即SUntmgthesizeofthestructuringe1.ement.Thevo1.ume-sca1.efunctionisusua1.1.yp1.ottedas1.og(vo1.ume)in28functionofnni1.irnetre.Thevo1.umemayforHiu1.tip1.icdexp1.anations.Ktoconvertittomicrometrescubed4.7.2 Re1.ativearea4.7.2.1 Genera1.area.Se
26、eAnnexA.4forthedetai1.sonthearea-sca1.eti1.ingmethod.4.7.2.2 Area-sca1.efunctionIunctionfunctionIog(Sca1.e).re1.ativeFepresentsfiinctionareasca1.esctriangu1.arp1.ottedas1.og(re1.ativearea)in4.7.3 Re1.ative1.ength4.7.3.1 Genera1.Projectedca1.cu1.ated1.oneachprojectedIengthco1.umnusua1.1.ysurface.Itth
27、anthenprovidedthesurface.1.ength-sca1.e4.7.3.2 1.ength-sca1.efunctionThis1.og(re1.ative1.ength)1.ength-sca1.e1.og(sca1.e).Thesca1.esrepresents1.ength-sca1.efunctionSegmentp1.otted4.7.4 Sca1.eofObSerVationthetriangu1.arti1.esofthearea-sca1.efunctionor1.engthoftheHnesegmentofthe1.ength-sca1.efunction.
28、4.7.5 Vo1.ume-p1.exitysca1.evo1.ume-p1.exityparameterofobservation.byThefac1.ortimcs000isintroducedvo1.ume-4.7.6 Area-p1.exitypersquare1.og(sca1.e).SeeAnnexA.3befurtherbyconstantwithinarea-sca1.ecomp1.exityparameterobservation.Thefactor000timesintroducedthearea-sca1.efunction,There1.ativeareaisthera
29、t100ftheareaca1.cu1.atedbytriangu1.arti1.ingoffixedareactotheeva1.uation29(DISO2021-1.1.rightsreservedSas(C)Thisp1.otstheThesca1.ecareaasatheofofthe.ItisUsua1.1.yti1.esandisexpressedinunitsof1.atera1.1.engthsquared.There1.ativeareaistherat100fthe1.engthca1.cu1.atedbyti1.ingof1.inesegmentsof1.engthct
30、othecanbe1.engthThe1.ineeach_1.isofsma1.1.erissideofastheaverageofva1.uesca1.cu1.atedon1.inesorco1.umns.SeeAnnexA.5fordetai1.softhe1.ength-sca1.eti1.ingmethod.S1.s(c)asfunctionp1.otsinfunctionoffunctionofc.ThetheIs1.ineusua1.1.yisexpressedinunitsOf1.atera1.1.ength.Thesca1.eofObSerVatiOnisthesizeofth
31、estructuringe1.ementofthevo1.ume-sca1.efunctionorareaofSvsfcThefunction,withindefineddomainofsca1.eisca1.cu1.ated1OOO1thes1.opeofthetoavoidtoomanyzerosinthedecima1.va1.ue.SasfcThedefineddomainofsca1.eofca1.cu1.atedby-11000thes1.opeoftoavoidtoomanyzerosinthedecima1.va1.ue.4.7.7 1.ength-p1.exityS1.sfc
32、toomanyzerosinthedecima1.va1.ue.4.7.8 Crossoversca1.e4.7.8.1 Genera1.Thecrossoversca1.eisthesca1.eofobservationatwhichthereisachangeinthes1.opeofarea-sca1.evo1.ume-sca1.echanges1.openecessari1.yabruptwithrespecttosca1.e,anecessaryfordeterminingNOTEAsaSCa1.CitiSgiveninunitofsca1.e.4.7.8.2 Smooth-roug
33、hcrossoversca1.eArea-Sca1.ef1.ength-sca1.eSSrCG)InHdtiVe1.ySTT(M确TtWhsWhwytHegM4Wametefpp(wbMi的fj(tHtw；ftnw5WrtNM0ttPtheedgfftngurfaceappearstoberough.史M诞叔陆hres翻吃周醺t1.q隔楠紧mwa曲越嘀1.怅型srcfirstth豳购喀献觥人叫撕翻的Cta1.dimensionisapproximate1.yequa1.totheEuc1.ideandimension,andbe1.owwhichitissignificant1.ygreate
34、rthantheEuc1.ideandimension.Athresho1.dinre1.ativeareaisusedtodeterminethecrossoverinarea-sca1.eana1.yses(seeAnnexA).Thethresho1.dtcanbese1.ectedasapercentagepofthemaximumva1.uemofthearea-sca1.eorvo1.umesca1.efunction,asdescribedinFormu1.a(27).rINIINOTEThedefau1.tva1.ueofthethresho1.disfoundinISO251
35、78-3.4.7.8.3 Smooth-roughcrossoversca1.eMorpho1.ogica1.vo1.ume-sca1.eSSrCH)tmMUve1.ysnm脆目照|1即8HQV叙屈丽rtfiwmetuftearMpfins妒彝Soe*efee哪U但goiftswfaceappearstobesmooth.5Featureparameters5.1 Genera1.Featurecharacterizationdoesnothavespecificfeatureparametersdefinedbuthasinsteadatoo1.boxofpatternsurface.rec
36、ognitiontechniquesthatcanbeusedtocharacterizespecifiedfeaturesonasca1.e-1.imitedThefeaturecharacterizationprocessisinfivestages:se1.ectionofthetypeoftexturefeature(seeTab1.e1);30 segmentation(see-Tabk-2forse1.ectionOfcriteriaofsize)； determiningsignificantfeatures(seeTab1.e3); se1.ectionoffeatureatt
37、ributes(seeTab1.e4); quantificationoffeatureattributestatistics(seeTab1.e5).Figure19Examp1.eofani1.1.ustrativesurface5.2 TypeoftexturefeatureThethreemaintypesoftexturefeaturesarearea1.features(hi1.1.sandda1.es),1.inefeatures(courseand邱蛔牺由卜HfdrK1.x)hpsUHeiiIddrhnspection.imPortanttose1.ecttheTab1.e1T
38、ypesoftexturefeaturesC1.assoffeatureTypeoftexturefeatureDesignationHi1.1.HPointPitVSadd1.epoint5.3 SegmentationSegmentationisusedtodetermineregionsofthesca1.e-1.imitedsurfacewhichdefinethefeatures.TheohIftwdiHgrfitftece出Uxhada3niHeFegmtri(24oprudewkrface.c11tThis1.eaveasuitab1.esegmentationofthesca1
39、e-1.imitedsurface.SomecriteriaofsizearegiveninTab1.e2,whichcanbeusedtodefineathresho1.dtodefinesma1.1.segmentstopruneout.AftureexAHifromWo1.fpruningusing1%or5%ofSz,usingthesurfacei1.1.ustratedinTab1.e2-CriteriaofsizeforsegmentationCriteriaofsizeDesignationThresho1.dSpecifiedheight/deptheva1.uationa
40、reaPerimeterofhi11da1.ePcrSSpecified1.engthfermdRFei1.toriHiatiorfWHjbtotherp11ningcriteria,suchasvo1.ume,areaoreven5.4Determiningsignificantfeatures“Functiondoesnotinteractwitha1.1.featuresinthesameway;differentfeaturesinteractdifcrent1.y.tRjthusa4eihtficant.dEr!risthpsctfeatursiirtiathftct!rtfif1.
41、rctona1.1.yiiE1.t1.sgnifrnaffida3tftmcntationfunctionwhichidentifiesthesignificantandinsignificantfeaturesdefinedbythesegmentation.ItisthesetofSigniAcantfeaturesthatisusedforcharacterization.Methodsofdeterminingsignificantfeaturesa)1%ofSzb)5%ofSzFigure20Hi1.1.sdefinedfromWo1.fpruningTab1.e3Methodsof
42、determiningsignificantfeaturesC1.assoffeatureMethodofdeterminingsignificantfeaturesDesignationParameterunitsJMiK1.PithirftA1.1.一4SeeReference(47)andFgm2.NOTE1Thethresho1.dingp1.aneisrepresentedinroseco1.our.Itsheightsdefinedfromamateria1.ratio.FgH=e-24a)andb)useadifferentthresho1.dva1.ue.NOTE2InFigure21a),A,B,CandDarcopenda1.esastheyarcconnectedbysadd1.epointsthatarebe1.owthethresho1.d.NOTE3In-F*WHb),A
