1、December 2016 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!%G“2599136www.din.deD
2、IN EN ISO 16610-40Geometrical product specifications (GPS) Filtration Part 40: Morphological profile filters: Basic concepts (ISO 1661040:2015);English version EN ISO 1661040:2015,English translation of DIN EN ISO 16610-40:2016-12Geometrische Produktspezifikation (GPS) Filterung Teil 40: Morphologis
3、che Profilfilter: Grundlegende Konzepte (ISO 1661040:2015);Englische Fassung EN ISO 1661040:2015,Englische bersetzung von DIN EN ISO 16610-40:2016-12Spcification gomtrique des produits (GPS) Filtrage Partie 40: Filtres de profil morphologiques: Concepts de base (ISO 1661040:2015);Version anglaise EN
4、 ISO 1661040:2015,Traduction anglaise de DIN EN ISO 16610-40:2016-12www.beuth.deDocument comprises 24 pagesDTranslation by DIN-Sprachendienst.In case of doubt, the German-language original shall be considered authoritative.01.17 DIN EN ISO 16610-40:2016-12 2 A comma is used as the decimal marker. Na
5、tional foreword This document (EN ISO 16610-40:2015) 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 specific
6、ation and verification” (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 Internati
7、onal Standards referred to in this document are as follows: ISO 14406 DIN EN ISO 14406 ISO 16610-1:2015 DIN EN ISO 16610-1:2015-11 ISO 16610-49:2015 DIN EN ISO 16610-49:2015-12 ISO 17450-1:2011 DIN EN ISO 17450-1:2012-04 National Annex NA (informative) Bibliography 1 DIN EN ISO 14406, Geometrical Pr
8、oduct Specifications (GPS) Extraction 2 DIN EN ISO 16610-1:2015-11, Geometrical product specifications (GPS) Filtration Part 1: Overview and basic concepts (ISO 16610-1:2015) 3 DIN EN ISO 16610-49:2015-12, Geometrical product specifications (GPS) Filtration Part 49: Morphological profile filters: Sc
9、ale space techniques (ISO 16610-49:2015) 4 DIN EN ISO 17450-1:2012-04, Geometrical product specifications (GPS) General concepts Part 1: Model for geometrical specification and verification (ISO 17450-1:2011) EUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN ISO 16610-40 June 2015 ICS 17.040.20 E
10、nglish Version Geometrical product specifications (GPS) - Filtration - Part 40: Morphological profile filters: Basic concepts(ISO 16610-40:2015) Spcification gomtrique des produits (GPS) - Filtrage - Partie 40: Filtres de profil morphologiques: Concepts de base (ISO 16610-40:2015) Geometrische Produ
11、ktspezifikation (GPS) - Filterung - Teil 40: Morphologische Profilfilter: Grundlegende Konzepte (ISO 16610-40:2015) This European Standard was approved by CEN on 21 February 2015. CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this
12、 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 Centre or to any CEN member. This European Standard exists in three official ve
13、rsions (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 Austri
14、a, 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,
15、 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 2015 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN n
16、ational Members. Ref. No. EN ISO 16610-40:2015 EEuropean foreword 3Introduction .61 Scope .72 Normative references 73 Terms and definitions .74 Basic concepts .94.1 Minkowski sums 94.1.1 General 94.1.2 Minkowski addition . 94.1.3 Minkowski subtraction 104.2 Morphological operations 104.2.1 General.
17、104.2.2 Dilation 104.2.3 Erosion. 114.2.4 Opening . 114.2.5 Closing 124.2.6 Higher order morphological operations 124.2.7 Properties of morphological operations 135 Morphological filters .135.1 General 135.2 Fill transform . 135.3 Discrete morphological filters 145.4 Envelope filters 145.5 Sampling
18、and reconstruction 14Annex A (informative) Concept diagram .19Annex B (informative) Relationship to the filtration matrix model .20Annex C (informative) Relationship to the GPS matrix model 21Bibliography .22Contents PageDIN EN ISO 16610-40:2016-12 EN ISO 16610-40:2015 (E) 2Foreword 4European forewo
19、rd This document (EN ISO 16610-40:2015) has 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
20、of which is held by AFNOR. This European Standard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by December 2015, and conflicting national standards shall be withdrawn at the latest by December 2015. Attention is drawn t
21、o the possibility that some of the elements of 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 c
22、ountries are bound to implement this European Standard: 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,
23、 Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and the United Kingdom. Endorsement notice The text of ISO 16610-40:2015 has been approved by CEN as EN ISO 16610-40:2015 without any modification. DIN EN ISO 16610-40:2016-12EN ISO 16610-40:2015 (E) 3 ForewordISO (th
24、e International Organization for Standardization) 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 committ
25、ee has been established has the right to be represented 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 electrotechn
26、ical standardization.The procedures used to develop 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 i
27、n accordance with the editorial rules of the ISO/IEC 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.
28、 Details of any patent rights identified during the 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
29、 an endorsement.For an explanation on the meaning of ISO specific terms and expressions related to conformity assessment, 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 committe
30、e responsible for this document is ISO/TC 213, Dimensional and geometrical product specifications and verification.This first edition of ISO 16610-40 cancels and replaces ISO/TS 16610-40:2006 which has been technically revised.This corrected version of ISO 16610-40:2015 incorporates the following co
31、rrections: 4.1.3 and 4.2.3: The font substitution errors (“!” instead of the sign in the PDF) have been fixed. ISO 16610 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:
32、 Basic concepts Part 21: Linear profile filters: Gaussian filters Part 22: Linear profile filters: Spline filters Part 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 regressio
33、n filters Part 32: Robust profile filters: Spline filters Part 40: Morphological profile filters: Basic concepts Part 41: Morphological profile filters: Disk and horizontal line-segment filtersDIN EN ISO 16610-40:2016-12 EN ISO 16610-40:2015 (E) 4 Part 49: Morphological profile filters: Scale space
34、techniques Part 60: Linear areal filters: Basic concepts Part 61: Linear areal filters: Gaussian filters Part 71: Robust areal filters: Gaussian regression filters Part 85: Morphological areal filters: SegmentationThe following parts are planned: Part 26: Linear profile filters: Filtration on nomina
35、lly orthogonal grid planar data sets Part 27: Linear profile filters: Filtration on nominally orthogonal 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
36、filters: Basic concepts Part 72: Robust areal filters: Spline filters Part 80: Morphological areal filters: Basic concepts Part 81: Morphological areal filters: Sphere and horizontal planar segment filters Part 89: Morphological areal filters: Scale space techniquesDIN EN ISO 16610-40:2016-12EN ISO
37、16610-40:2015 (E) 5 IntroductionThis part of ISO 16610 is a geometrical product specification (GPS) standard and is to be regarded as a general GPS standard (see ISO/TR 14638). It influences the chain links 3 and 5 of all chains of standards.The ISO/GPS Masterplan given in ISO 14638 gives an overvie
38、w 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 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
39、.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 16610 develops the terminology and concepts for morphological operations and filters, including envelope filters.DIN EN ISO 16610-40:2016-12 EN ISO 16610-40:2015 (E) 6 1
40、ScopeThis part of ISO 16610 sets out the basic concepts and terminology for morphological operations and filters, including envelope filters.2 Normative referencesThe following documents, in whole or in part, are normatively referenced in this document and are indispensable for its application. For
41、dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.ISO 17450-1:2011, Geometrical product specifications (GPS) Geometrical concepts Part 1: Model for geometrical specification and verificationISO 1
42、6610-1:2015, Geometrical product specifications (GPS) Filtration Part 1: Overview and basic concepts3 Terms and definitionsFor the purposes of this document, the terms and definitions given in ISO 16610-1, ISO 17450-1, and the following apply.3.1morphological operationbinary operation involving two
43、geometrical objects as sets, resulting in another geometrical objectNote 1 to entry: Dilation and erosion are two primary morphological operations, and closing and opening are two secondary morphological operations.Note 2 to entry: Geometrical objects are point sets, i.e. set of points.3.2morphologi
44、cal filtermorphological operation (3.1) that is both monotonically increasing (3.11) and idempotent (3.12)3.3envelope filterclosing (3.10) or opening (3.9) filter, whose output envelops the input profile or surfaceNote 1 to entry: A closing filter generates the upper envelope; an opening filter gene
45、rates the lower envelope.3.4Minkowski additionvector sum of points in two given geometrical setsDIN EN ISO 16610-40:2016-12EN ISO 16610-40:2015 (E) 7 3.5Minkowski subtractionbinary operation defined using Minkowski addition (3.4) of two setsNote 1 to entry: It is the complement of the Minkowski addi
46、tion of the complement of the first set with the second set.3.6structuring elementmorphological filters second geometrical object used in morphological operations3.7dilationmorphological morphological operation that expands one input set by anotherNote 1 to entry: Dilation is not a morphological fil
47、ter because it is not idempotent.3.8erosionmorphological morphological operation that shrinks one input set by anotherNote 1 to entry: Erosion is not a morphological filter because it is not idempotent.3.9openingmorphological filters morphological operation obtained by applying the erosion (3.8) fol
48、lowed by the dilation (3.7)Note 1 to entry: An opening is both a morphological filter and one of the two basic building blocks for other morphological filters.3.10closingmorphological filters morphological operation obtained by applying the dilation (3.7) followed by the erosion (3.8)Note 1 to entry: A closing
