1、March 2016 English price group 12No 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 17.040.30!%MA“2429930www.din.deDIN
2、 EN ISO 16610-60Geometrical Product Specification (GPS) Filtration Part 60: Linear areal filters Basic concepts (ISO 16610-60:2015);English version EN ISO 16610-60:2015,English translation of DIN EN ISO 16610-60:2016-03Geometrische Produktspezifikation (GPS) Filterung Teil 60: Lineare Flchenfilter G
3、rundlegende Konzepte (ISO 16610-60:2015);Englische Fassung EN ISO 16610-60:2015,Englische bersetzung von DIN EN ISO 16610-60:2016-03Spcification gomtrique des produits (GPS) Filtrage Partie 60: Filtres surfaciques linaires Concepts de base (ISO 16610-60:2015);Version anglaise EN ISO 16610-60:2015,Tr
4、aduction anglaise de DIN EN ISO 16610-60:2016-03www.beuth.deDocument comprises 24 pagesDTranslation by DIN-Sprachendienst.In case of doubt, the German-language original shall be considered authoritative.03.16 DIN EN ISO 16610-60:2016-03 2 A comma is used as the decimal marker. National foreword This
5、 document (EN ISO 16610-60:2015) has been 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 verificati
6、on” (Secretariat: AFNOR, France). The responsible German body involved in its preparation was DIN-Normenausschuss Technische Grundlagen (DIN Standards Committee Technical Fundamentals), Working Committee NA 152-03-03 AA Oberflchen. The DIN Standards corresponding to the International Standards refer
7、red to in this document are as follows: 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/IEC Guide 99 International vocabulary of metrology (VIM)National Annex NA(informatiBibliographyve) DIN EN ISO 16610-1, Geometrical p
8、roduct specifications (GPS) Filtration Part 1: Overview and basic concepts DIN EN ISO 16610-20, Geometrical product specifications (GPS) Filtration Part 20: Linear profile filters: Basic concepts DIN EN ISO 16610-21, Geometrical product specifications (GPS) Filtration Part 21: Linear profile filters
9、: Gaussian filters DIN EN ISO 14638, Geometrical product specifications (GPS) Matrix model VIM, International vocabulary of metrology )Obtainable from: Beuth Verlag GmbH, 10772 Berlin, Order no. 22472, ISBN 978-3-410-22472-3. EUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN ISO 16610-60 November
10、 2015 ICS 17.040.30 English Version Geometrical Product Specification (GPS) - Filtration -Part 60: Linear areal filters: Basic concepts(ISO 16610-60:2015) Spcification gomtrique des produits (GPS) - Filtrage - Partie 60: Filtres surfaciques linaires - Concepts de base (ISO 16610-60:2015) Geometrisch
11、e Produktspezifikation (GPS) - Filterung - Teil 60: Lineare Flchenfilter: Grundlegende Konzepte (ISO 16610-60:2015) This European Standard was approved by CEN on 12 March 2015. CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this Eu
12、ropean 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 Centre or to any CEN member. This European Standard exists in three official versi
13、ons (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 the official versions. CEN members are the national standards bodies of Austria,
14、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, Spain, Sweden, Sw
15、itzerland, 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 2015 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN nati
16、onal Members. Ref. No. EN ISO 16610-60:2015 EEuropean f oreword 3Introduction .61 Scope . 72 Normative references 73 Terms and definitions . 74 Basic concepts . 94.1 General . 94.2 Separable weighting functions 94.3 Discrete representation of data . 104.4 Discrete representation of the linear areal
17、filter 104.5 Discrete representation of the weighting function . 115 Linear areal filters . 135.1 Filter equations . 135.2 Discrete convolution . 145.3 Transfer function 155.4 Separable filter banks 17Annex A (informative) Concept diagram .19Annex B (informative) Relationship to the filtration matri
18、x model .20Annex C (informative) Relationship to the GPS matrix model 21Bibliography .22Contents PageDIN EN ISO 16610-60:2016-03 EN ISO 16610-60:2015 (E)2Foreword .4European foreword This document (EN ISO 16610-60:2015) has been prepared by Technical Committee ISO/TC 213 “Dimensional and geometrical
19、 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 Standard shall be given the status of a national standard, either by publicatio
20、n of an identical text or by endorsement, at the latest by May 2016, and conflicting national standards shall be withdrawn at the latest by May 2016. Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. CEN and/or CENELEC shall not be
21、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 Standard: Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Esto
22、nia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the United Kingdom. Endorsement notice The
23、text of ISO 16610-60:2015 has been approved by CEN as EN ISO 16610-60:2015 without any modification. DIN EN ISO 16610-60:2016-03 EN ISO 16610-60:2015 (E)3 ForewordISO (the International Organization for Standardization) is a worldwide federation of national standards bodies (ISO member bodies). The
24、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 represented on that committee. International organizations, governmental and non-gover
25、nmental, 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 develop this document and those intended for its further maintenance are described in
26、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/IEC Directives, Part 2 (see www.iso.org/directives). Attention is drawn to the po
27、ssibility 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 development of the document will be in the Introduction and/or on the ISO list
28、 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 ISO specific terms and expressions related to conformity assessment, as well
29、as information about ISOs adherence to the WTO principles in the Technical Barriers to Trade (TBT) see the following URL: Foreword - Supplementary informationThe committee responsible for this document is ISO/TC 213, Dimensional and geometrical product specifications and verification.ISO 16610 consi
30、sts of the following parts, under the general title Geometrical product specifications (GPS) Filtration : Part 1: Overview and basic concepts Part 20: Linear profile filters: Basic concepts Part 21: Linear profile filters: Gaussian filters Part 22: Linear profile filters: Spline filters Part 28: Pro
31、file filters: End effects Part 29: Linear profile filters: Spline wavelets Part 30: Robust profile filters: Basic concepts Part 31: Robust profile filters: Gaussian regression filters Part 32: Robust profile filters: Spline filters Part 40: Morphological profile filters: Basic concepts Part 41: Morp
32、hological profile filters: Disk and horizontal line-segment filters Part 49: Morphological profile filters: Scale space techniques Part 60: Linear areal filters: Basic concepts Part 61: Linear areal filters: Gaussian filters Part 71: Robust areal filters: Gaussian regression filtersDIN EN ISO 16610-
33、60:2016-03 EN ISO 16610-60:2015 (E)4 Part 85: Morphological areal filters: SegmentationThe following parts are planned: Part 26: Linear profile filters: Filtration on nominally orthogonal grid planar data sets Part 27: Linear profile filters: Filtration on nominally orthogonal grid cylindrical data
34、sets Part 45: Morphological profile filters: Segmentation Part 62: Linear areal filters: Spline filters Part 69: Linear areal filters: Spline wavelets Part 70: Robust areal filters: Basic concepts Part 72: Robust areal filters: Spline filters Part 80: Morphological areal filters: Basic concepts Part
35、 81: Morphological areal filters: Sphere and horizontal planar segment filters Part 89: Morphological areal filters: Scale space techniquesDIN EN ISO 16610-60:2016-03 EN ISO 16610-60:2015 (E)5 IntroductionThis part of ISO 16610 is a geometrical product specification (GPS) standard and is to be regar
36、ded as a general GPS standard (see ISO 14638). It influences chain links C and F of all chains of standards.The ISO/GPS Matrix model given in ISO 14638 gives an overview of the ISO/GPS system of which this part of ISO 16610 is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this
37、part of ISO 16610 and the default decision rules given in ISO 14253-1 apply to specifications made in accordance with this part of ISO 16610, unless otherwise indicated.For more detailed information about the relation of this part of ISO 16610 to the GPS matrix model, see Annex C.This part of ISO 16
38、610 develops the basic concepts of linear areal filters, which include Gaussian filter, Spline filters, and Wavelet filters.DIN EN ISO 16610-60:2016-03 EN ISO 16610-60:2015 (E)6 1 ScopeThis part of ISO 16610 sets out the basic concepts of linear areal filters.2 Normative referencesThe following docu
39、ments, in whole or in part, are normatively referenced in this document and are indispensable for its application. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.ISO 16610-1, Geometrical p
40、roduct specifications (GPS) Filtration Part 1: Overview and basic conceptsISO 16610-20, Geometrical product specifications (GPS) Filtration Part 20: Linear profile filters: Basic conceptsISO 16610-21:2011, Geometrical product specifications (GPS) Filtration Part 21: Linear profile filters: Gaussian
41、filtersISO/IEC Guide 99:2007, International vocabulary of metrology Basic and general concepts and associated terms (VIM)3 Terms and definitionsFor the purposes of this document, the terms and definitions given in ISO 16610-1, ISO 16610-20, ISO 16610-21, ISO/IEC Guide 99, and the following apply.3.1
42、linear areal filterareal filter which separates surfaces into long wave and short wave components and is also a linear functionNote 1 to entry: If F is a function and X and Y are surfaces then F is a linear function implies F(aX + bY) = aF(X) + bF(Y).Note 2 to entry: A linear areal filter is for sur
43、faces in a specified coordinate system, for example, planar and cylindrical.Note 3 to entry: Linear areal filter examples include Gaussian, spline, spline wavelet, and complex wavelet.3.1.1linear planar filterlinear areal filter (3.1) which separates planar surfaces into long wave and short wave com
44、ponents, which applies to nominal planar surfacesNote 1 to entry: A planar surface is open in all directions.DIN EN ISO 16610-60:2016-03 EN ISO 16610-60:2015 (E)7 3.1.2linear cylindrical filterlinear areal filter (3.1) which separates cylindrical surfaces into long wave and short wave components, wh
45、ich applies to nominal cylindrical surfaceNote 1 to entry: A cylindrical surface is open in the axial direction and closed in the circumferential direction.3.2phase correct areal filterlinear areal filter (3.1) which does not cause phase shifts leading to asymmetrical surface distortionsNote 1 to en
46、try: Phase correct filters are a particular kind of linear phase filters because any linear phase filter can be transformed (simply by shifting its weighting function) to a zero phase filter, which is a phase correct filter.3.3mean surfacelong wave surface component determined from the surface by ap
47、plication of an areal filter3.4weighting functionfunction for calculating the mean surface, which indicates for each point the weight attached by the surface in the vicinity of that point3.5filter equationequation for the mathematical description of the filterNote 1 to entry: Filter equations do not
48、 necessarily specify an algorithm for the numerical realization of the filter.SOURCE: ISO 16610-1:2015, 3.103.6transmission characteristic of an areal filtercharacteristic that indicates the amount by which the amplitude of a sinusoidal surface is attenuated as a function of its wavelengthsNote 1 to entry: The transmi
