1、BSI Standards PublicationBS EN ISO 16610-61:2015Geometrical productspecification (GPS) FiltrationPart 61: Linear areal filters GaussianfiltersBS EN ISO 16610-61:2015 BRITISH STANDARDNational forewordThis British Standard is the UK implementation of EN ISO16610-61:2015.The UK participation in its pre
2、paration was entrusted to TechnicalCommittee TDW/4, Technical Product Realization.A list of organizations represented on this committee can beobtained on request to its secretary.This publication does not purport to include all the necessaryprovisions of a contract. Users are responsible for its cor
3、rectapplication. The British Standards Institution 2015. Published by BSI StandardsLimited 2015ISBN 978 0 580 78866 6ICS 17.040.20Compliance with a British Standard cannot confer immunity fromlegal obligations.This British Standard was published under the authority of theStandards Policy and Strateg
4、y Committee on 31 July 2015.Amendments issued since publicationDate Text affectedEUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN ISO 16610-61 July 2015 ICS 17.040.20 English Version Geometrical product specification (GPS) - Filtration - Part 61: Linear areal filters - Gaussian filters (ISO 1661
5、0-61:2015) Spcification gomtrique des produits (GPS) - Filtrage - Partie 61: Filtres surfaciques linaires: Filtres Gaussiens (ISO 16610-61:2015) Geometrische Produktspezifikation (GPS) - Filterung - Teil 61: Lineare Flchenfilter: Gau-Filter (ISO 16610-61:2015)This European Standard was approved by C
6、EN on 21 February 2015. CEN members are bound to comply with the 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 standa
7、rds may be obtained on application to the CEN-CENELEC Management 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 not
8、ified to the CEN-CENELEC Management Centre has the same status as 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, I
9、celand, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, 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 Ma
10、nagement Centre: Avenue Marnix 17, B-1000 Brussels 2015 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN national Members. Ref. No. EN ISO 16610-61:2015 EBS EN ISO 16610-61:2015EN ISO 16610-61:2015 (E) 3 European foreword The text of (EN ISO 16610-61:2015) has b
11、een 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 Stan
12、dard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by January 2016, and conflicting national standards shall be withdrawn at the latest by January 2016. Attention is drawn to the possibility that some of the elements of
13、this 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 S
14、tandard: 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,
15、 Spain, Sweden, Switzerland, Turkey and the United Kingdom. Endorsement notice The text of ISO 16610-61:2015 has been approved by CEN as EN ISO 16610-61:2015 without any modification. BS EN ISO 16610-61:2015ISO 16610-61:2015(E)Foreword ivIntroduction vi1 Scope . 12 Normative references 13 Terms and
16、definitions . 14 Characteristics of linear planar Gaussian filters . 24.1 General . 24.2 Weighting function of linear planar filters 24.3 Transmission characteristics of linear planar Gaussian filters . 44.3.1 Transmission characteristic of the long wave component 44.3.2 Transmission characteristic
17、of the short wave component 54.4 Separable weighting functions 65 Characteristics of linear cylindrical Gaussian filters 65.1 General . 65.2 Weighting function of linear cylindrical Gaussian filters . 65.3 Transmission characteristics of a linear cylindrical profile . 75.3.1 Transmission characteris
18、tic of the long wave component 75.3.2 Transmission characteristic of the short wave component 96 Other Information 116.1 General 116.2 Filter Designations 11Annex A (informative) Examples .12Annex B (informative) Concept diagram .15Annex C (informative) Relationship to the filtration matrix model 16
19、Annex D (informative) Relationship to the GPS matrix model .17Bibliography .18 ISO 2015 All rights reserved iiiContents PageBS EN ISO 16610-61:2015ISO 16610-61:2015(E)ForewordISO (the International Organization for Standardization) is a worldwide federation of national standards bodies (ISO member b
20、odies). 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 represented on that committee. International organizations, governmental a
21、nd 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 develop this document and those intended for its further maintenance are d
22、escribed 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/IEC Directives, Part 2 (see www.iso.org/directives).Attention is draw
23、n 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 development of the document will be in the Introduction and/or on t
24、he 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 ISO specific terms and expressions related to conformity assessment
25、, as well 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 1
26、6610 consists 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 Pa
27、rt 28: Profile 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 Par
28、t 41: Morphological 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 filtersiv ISO
29、2015 All rights reservedBS EN ISO 16610-61:2015ISO 16610-61:2015(E) 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 or
30、thogonal grid cylindrical data 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 are
31、al filters: Basic concepts Part 81: Morphological areal filters: Sphere and horizontal planar segment filters Part 89: Morphological areal filters: Scale space techniques ISO 2015 All rights reserved vBS EN ISO 16610-61:2015ISO 16610-61:2015(E)IntroductionThis part of ISO 16610 is a geometrical prod
32、uct specification (GPS) standard and is to be regarded as a general GPS standard (see ISO/TR 14638). It influences chain links 3 and 5 in the GPS matrix structureThe ISO/GPS Masterplan given in ISO/TR 14638 gives an overview of the ISO/GPS system of which this part of ISO 16610 is a part. The fundam
33、ental rules of ISO/GPS given in ISO 8015 apply to this 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 t
34、o the GPS matrix model, see Annex D.This part of ISO 16610 specifies the metrological characteristics of linear areal Gaussian filters for the rotationally symmetric filtration of nominal planar surfaces and the filtration of nominal cylindrical surfaces. It specifies, in particular, how to separate
35、 long and short wave components of a surface.vi ISO 2015 All rights reservedBS EN ISO 16610-61:2015INTERNATIONAL STANDARD ISO 16610-61:2015(E)Geometrical product specification (GPS) Filtration Part 61: Linear areal filters Gaussian filters1 ScopeThis part of ISO 16610 specifies linear areal Gaussian
36、 filters for the rotationally symmetric filtration of nominal planar surfaces and the filtration of nominal cylindrical surfaces. It specifies, in particular, how to separate long and short wave components of a surface.2 Normative referencesThe following documents, in whole or in part, are normative
37、ly 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 product specification (GPS) Filtration Par
38、t 1: Overview and basic terminologyISO 16610-20, Geometrical product specification (GPS) Filtration Part 20: Linear profile filters: basic conceptsISO 16610-21:2011, Geometrical product specifications (GPS) Filtration Part 21: Linear profile filters: Gaussian filtersISO 16610-60, Geometrical product
39、 specification (GPS) Filtration Part 60: Linear areal filters: Basic conceptsISO/IEC Guide 99:2007, International vocabulary of metrology Basic and general concepts and associated terms (VIM)ISO/IEC Guide 98-3:2008, Uncertainty of measurement Part 3: Guide to the expression of uncertainty in measure
40、ment (GUM)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 16610-60, ISO/IEC Guide 98-3:2008, ISO/IEC Guide 99, and the following apply.3.1linear areal filterareal filter which separates surfaces into long wave
41、and short wave components and is also a linear functionSOURCE: ISO 16610-60, 3.13.1.1linear planar filterlinear areal filter (3.1) that separate surfaces into long wave and short wave components, which applies to nominal planar surfacesSOURCE: ISO 16610-60, 3.1.1 ISO 2015 All rights reserved 1BS EN
42、ISO 16610-61:2015ISO 16610-61:2015(E)3.1.2linear cylindrical filterlinear areal filter (3.1) that separate surfaces into long wave and short wave components, which applies to nominal cylindrical surfacesSOURCE: ISO 16610-60, 3.1.23.2cut-off wavelength (nesting index)wavelength of a sinusoidal surfac
43、e of which 50% of the amplitude is transmitted by the linear areal filter (3.1)Note 1 to entry: Linear areal filters are identified by the filter type and the cut-off wavelength.SOURCE: ISO 16610-60, 3.7Note 2 to entry: The cut-off value for the Gaussian filter is an example of a nesting index.3.3un
44、dulations per revolutionUPRnumber of sinusoidal undulations contained in the roundness profile3.3.1undulation cut-off (nesting index)cut-off wavelength (3.2) of the filter applied to the extracted circumferential lineNote 1 to entry: These are usually defined in terms of undulations per revolution (
45、UPR).4 Characteristics of linear planar Gaussian filters4.1 GeneralLinear planar Gaussian filters confirming to this part of ISO 16610 shall conform to 4.2 to 4.4.4.2 Weighting function of linear planar filtersThe weighting function of an areal filter (see Figure 1) has the formula of a rotationally
46、 symmetric Gaussian function with a cut-off wavelength, c, given by Formula (1):sxyxy,exp()=+122 2222picc(1)wherex is the distance from the centre (maximum) of the weighting function in X direction;y is the distance from the centre (maximum) of the weighting function in Y direction;cis the cut-off w
47、avelength; is the constant, to provide 50% transmission characteristic at the cut-off c.For a practical application, the weighting function of a filter (see Figure 1) is expressed within+LxyLcc cc22where Lcis the truncation indices of the Gaussian filter.NOTE See ISO 16610-21, Annex A for recommende
48、d values of Lc.2 ISO 2015 All rights reservedBS EN ISO 16610-61:2015ISO 16610-61:2015(E)If smaller index values of Lcare used, then the uncertainty contributed by systematic error can become unacceptable,3as given in Formula (2):sxyxyLxy,exp,()=+122 222222picccc Lcc0 otherwise (2)where is given by F
49、ormula (3):pi=ln,2 3186770 46973166(3)The graph of the weighting function is shown in Figure 1.KeyA weight modified to make it a unit number: c2sxy(, )Blength modified to make it a unit number: ycClength modified to make it a unit number: xcFigure 1 Weighting function of a Gaussian areal filter ISO 2015 All rights reserved 3BS EN ISO 16610-61:2015ISO 16610-61:2015(E)4.3 Transmission characteristics of linear plan
