1、April 2017 English price group 13No part of this translation may be reproduced without prior permission ofDIN Deutsches Institut fr Normung e. V., Berlin. Beuth Verlag GmbH, 10772 Berlin, Germany,has the exclusive right of sale for German Standards (DIN-Normen).ICS 17.040.40!%dN“2654399www.din.deDIN
2、 EN ISO 16610-28Geometrical product specifications (GPS) Filtration Part 28: Profile filters: End effects (ISO 1661028:2016);English version EN ISO 1661028:2016,English translation of DIN EN ISO 16610-28:2017-04Geometrische Produktspezifikation (GPS) Filterung Teil 28: Profilfilter: Endeffekte (ISO
3、1661028:2016);Englische Fassung EN ISO 1661028:2016,Englische bersetzung von DIN EN ISO 16610-28:2017-04Spcification gomtrique des produits (GPS) Filtrage Partie 28: Filtres de profil: Effets de bords (ISO 1661028:2016);Version anglaise EN ISO 1661028:2016,Traduction anglaise de DIN EN ISO 16610-28:
4、2017-04www.beuth.deDocument comprises 29 pagesDTranslation by DIN-Sprachendienst.In case of doubt, the German-language original shall be considered authoritative.04.17 DIN EN ISO 16610-28:2017-04 2 A comma is used as the decimal marker. National foreword This document (EN ISO 16610-28:2016) has been
5、 prepared by Technical Committee ISO/TC 213 “Dimensional and geometrical product specifications and verification” (Secretariat: DS, Denmark) in collaboration with Technical Committee CEN/TC 290 “Dimensional and geometrical product specification and verification” (Secretariat: AFNOR, France). The res
6、ponsible German body involved in its preparation was DIN-Normenausschuss Technische Grundlagen (DIN Standards Committee Technical Fundamentals), Working Committee NA 152-03-03 AA “Surfaces”. The DIN Standards corresponding to the International Standards referred to in this document are as follows: I
7、SO 3274 DIN EN ISO 3274 ISO 14638 DIN EN ISO 14638 ISO 16610-1 DIN EN ISO 16610-1 ISO 16610-20 DIN EN ISO 16610-20 ISO 16610-21 DIN EN ISO 16610-21 ISO 16610-22 DIN EN ISO 16610-22 ISO 16610-31 DIN EN ISO 16610-31 ISO 16610-32 DIN EN ISO 16610-32 ISO/IEC Guide 99 VIM, International vocabulary of met
8、rology*)*)Obtainable from: Beuth Verlag GmbH, 10772 Berlin, Order no. 22472, ISBN 978-3-410-22472-3. DIN EN ISO 16610-28:2017-04 3 National Annex NA (informative) Bibliography 1 DIN EN ISO 3274, Geometrical product specifications (GPS) Surface texture: Profile method Nominal characteristics of conta
9、ct (stylus) instruments 2 DIN EN ISO 14638, Geometrical Product Specifications (GPS) Matrix model 3 DIN EN ISO 16610-1, Geometrical product specifications (GPS) Filtration Part 1: Overview and basic concepts 4 DIN EN ISO 16610-20, Geometrical product specifications (GPS) Filtration Part 20: Linear p
10、rofile filters: Basic concepts 5 DIN EN ISO 16610-21, Geometrical product specifications (GPS) Filtration Part 21: Linear profile filters: Gaussian filters 6 DIN EN ISO 16610-22, Geometrical product specifications (GPS) Filtration Part 22: Linear profile filters: Spline filters 7 DIN EN ISO 16610-31
11、, Geometrical product specifications (GPS) Filtration Part 31: Robust profile filters: Gaussian regression filters 8 DIN EN ISO 16610-32, Geometrical product specifications (GPS) Filtration Part 32: Robust profile filters: Spline filters 9 VIM, International vocabulary of metrology DIN EN ISO 16610-
12、28:2017-04 4 This page is intentionally blank EUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN ISO 16610-28 December 2016 ICS 17.040.40 English Version Geometrical product specifications (GPS) - Filtration -Part28: Profile filters: End effects (ISO 16610-28:2016) Spcification gomtrique des produ
13、its (GPS) - Filtrage Partie 28: Filtres de profil: Effets de bords (ISO 16610-28:2016) Geometrische Produktspezifikation (GPS) - Filterung - Teil 28: Profilfilter: Endeffekte (ISO 16610-28:2016) This European Standard was approved by CEN on 19 November 2016. CEN members are bound to comply with the
14、CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such national standards may be obtained on application to the CEN-CENELEC Management
15、Centre or to any CEN member. This European Standard exists in three official versions (English, French, German). A version in any other language made by translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management Centre has the same status as
16、 the official versions. CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Net
17、herlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and United Kingdom. EUROPEAN COMMITTEE FOR STANDARDIZATION COMIT EUROPEN DE NORMALISATION EUROPISCHES KOMITEE FR NORMUNG CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels 2016 CEN All r
18、ights of exploitation in any form and by any means reserved worldwide for CEN national Members. Ref. No. EN ISO 16610-28:2016 E-Foreword . 4Introduction . 51 Scope . 62 Normative references 63 Terms and definitions . 64 End effect correction methods . 74.1 General . 74.2 Extrapolation of the profile
19、 Methods . 94.2.1 Zero padding . 94.2.2 Linear extrapolation 104.2.3 Symmetric extension .114.3 Moment retainment criterion .135 Recommendations .195.1 Default end correction . 195.2 End correction designations 20Annex A (normative) Filters according to ISO 16610 with automatic correction of end eff
20、ects.21Annex B (informative) Relationship to the filtration matrix model .23Annex C (informative) Relationship to the GPS matrix model 24Bibliography .25Contents PageEuropean foreword . 3EN ISO 16610-28:2016 (E) DIN EN ISO 16610-28:2017-04 2 European Foreword This document (EN ISO 16610-28:2016) has
21、 been prepared by Technical Committee ISO/TC 213 “Dimensional and geometrical product specifications and verification” in collaboration with Technical Committee CEN/TC 290 “Dimensional and geometrical product specification and verification” the secretariat of which is held by AFNOR. This European St
22、andard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by June 2017, and conflicting national standards shall be withdrawn at the latest by June 2017. Attention is drawn to the possibility that some of the elements of this
23、 document may be the subject of patent rights. CEN and/or CENELEC shall not be held responsible for identifying any or all such patent rights. According to the CEN-CENELEC Internal Regulations, the national standards organizations of the following countries are bound to implement this European Stand
24、ard: Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spa
25、in, Sweden, Switzerland, Turkey and the United Kingdom. Endorsement notice The text of ISO 16610-28:2016 has been approved by CEN as EN ISO 16610-28:2016 without any modification. EN ISO 16610-28:2016 (E) DIN EN ISO 16610-28:2017-04 3 ForewordISO (the International Organization for Standardization)
26、is a worldwide federation of national standards bodies (ISO member bodies). The work of preparing International Standards is normally carried out through ISO technical committees. Each member body interested in a subject for which a technical committee has been established has the right to be repres
27、ented on that committee. International organizations, governmental and non-governmental, in liaison with ISO, also take part in the work. ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization.The procedures used to develo
28、p this document and those intended for its further maintenance are described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the different types of ISO documents should be noted. This document was drafted in accordance with the editorial rules of the ISO/I
29、EC Directives, Part 2 (see www.iso.org/directives).Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of any patent rights identified during the
30、 development of the document will be in the Introduction and/or on the ISO list of patent declarations received (see www.iso.org/patents).Any trade name used in this document is information given for the convenience of users and does not constitute an endorsement.For an explanation on the meaning of
31、 ISO specific terms and expressions related to conformity assessment, as well as information about ISOs adherence to the World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT) see the following URL: www.iso.org/iso/foreword.html.This document was prepared by Technical Com
32、mittee ISO/TC 213, Dimensional and geometrical product specifications and verification.This first edition of ISO 16610-28 cancels and replaces ISO/TS 16610-28:2010, which has been technically revised.A list of all parts in the ISO 16610 series can be found on the ISO website.EN ISO 16610-28:2016 (E)
33、 DIN EN ISO 16610-28:2017-04 4 IntroductionThis document is a geometrical product specification (GPS) standard and is to be regarded as a general GPS standard (see ISO 14638). It influences the chain link C of all chains of standards.The ISO/GPS Matrix model given in ISO 14638 gives an overview of t
34、he ISO/GPS system of which this document is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this document and the default decision rules given in ISO 14253-1 apply to specifications made in accordance with this document, unless otherwise indicated.For more detailed information of
35、 the relation of this document to the GPS matrix model, see Annex C.This document develops the concept of handling end effects in the case of linear profile filters.EN ISO 16610-28:2016 (E) DIN EN ISO 16610-28:2017-04 5 1 ScopeThis document provides methods for treating the end effects of linear pro
36、file filters where such effects occur.2 Normative referencesThe following documents are referred to in the text in such a way that some or all of their content constitutes requirements of this document. For dated references, only the edition cited applies. For undated references, the latest edition
37、of the referenced document (including any amendments) applies.ISO 16610-1, Geometrical product specifications (GPS) Filtration Part 1: Overview and basic conceptsISO 16610-20, Geometrical product specifications (GPS) Filtration Part 20: Linear profile filters: Basic conceptsISO 16610-21, Geometrical
38、 product specifications (GPS) Filtration Part 21: Linear profile filters: Gaussian filtersISO 16610-22, Geometrical product specifications (GPS) Filtration Part 22: Linear profile filters: Spline filtersISO 16610-31, Geometrical product specifications (GPS) Filtration Part 31: Robust profile filters
39、: Gaussian regression filtersISO/TS 16610-32, Geometrical product specifications (GPS) Filtration Part 32: Robust profile filters: Spline filtersISO/IEC Guide 99, International vocabulary of metrology Basic and general concepts and associated terms (VIM)3 Terms and definitionsFor the purposes of thi
40、s document, the terms and definitions given in ISO/IEC Guide 99, ISO 16610-1, ISO 16610-20, ISO 16610-21, ISO 16610-22, ISO 16610-31, ISO/TS 16610-32 and the following apply.ISO and IEC maintain terminological databases for use in standardization at the following addresses: IEC Electropedia: availab
41、le at http:/www.electropedia.org/ ISO Online browsing platform: available at http:/www.iso.org/obp3.1end effectunintentional changes in the filtration response in the end portions of an open profile3.2end effect regionend portion of an open profile where end effects are significantEN ISO 16610-28:20
42、16 (E) DIN EN ISO 16610-28:2017-04 6 3.3momentnth moment, n, of a real valued function f(x), defined bynnxfxx=()d3.4moment criterioncriterion applying to the shift invariant filter class of a linear profile filter where the weighting function of the filtration operation has vanishing moments up to t
43、he nth order, as expressed byxsxx pnp()= =d01,.,wheres(x) is the weighting function of the filter and the definition area of the weighting function4 End effect correction methods4.1 GeneralA linear shift invariant profile filter can be implemented as a weighted moving average with a constant weighti
44、ng function, s(x), e.g. the Gaussian bell curve according to ISO 16610-21. Because the measured profile, z(x), is always finite, s(x) shall have a local support, l1 x l2, which is normally much smaller than the traversing length. Therefore, the filter formula for the low-pass filter based on the con
45、volution is defined aswx zx usuu zu sx uulxlllxlxlt()=()()=()()+dd12212, l1(1)wherew(x) is the reference line;z(x) is the measured profile;ltis the measuring length.In contrast to profile z(x), reference line w(x) is only valid for l2 x lt l1. The end effect regions are B2= 0,l2 and B1= lt l1,lt.NOT
46、E 1 For simplicity, only continuous weighting functions s(x) are considered in this document. The methods are also valid for discrete weighting functions.NOTE 2 The procedure can be applied directly to the profile or can modify the filtration operation.EXAMPLE In the case of the standardized Gaussia
47、n filter (see ISO 16610-21), the weighting function has a local support, e.g. l1= l2= c/2. As shown in Figure 1, the filter formula cannot be applied over the whole traversing length. In the end effect region, either the left side or the right side of the Gaussian bell curve lies outside the profile.EN ISO 16610-28:2016 (E) DIN EN ISO 16610-28:2017-04 7 KeyB1 l2right end effect regionB2 l1left end effect regionaEnd effect region.Figure 1 End effects using standardized Gaussian fil
