1、BSI Standards PublicationBS EN ISO 16610-49:2015Geometrical productspecifications (GPS) FiltrationPart 49: Morphological profile filters: Scalespace techniquesBS EN ISO 16610-49:2015 BRITISH STANDARDNational forewordThis British Standard is the UK implementation of EN ISO 16610-49:2015. It supersede
2、s DD ISO/TS 16610-49:2006 which is withdrawn.The UK participation in its preparation was entrusted to Technical Committee TDW/4, Technical Product Realization.A list of organizations represented on this committee can be obtained on request to its secretary.This publication does not purport to includ
3、e all the necessary provisions of a contract. Users are responsible for its correct application. The British Standards Institution 2015.Published by BSI Standards Limited 2015ISBN 978 0 580 77998 5 ICS 17.040.20 Compliance with a British Standard cannot confer immunity from legal obligations.This Br
4、itish Standard was published under the authority of the Standards Policy and Strategy Committee on 30 June 2015.Amendments/corrigenda issued since publicationDate T e x t a f f e c t e dEUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN ISO 16610-49 June 2015 ICS 17.040.20 English Version Geometri
5、cal product specifications (GPS) - Filtration - Part 49: Morphological profile filters: Scale space techniques (ISO 16610-49:2015) Spcification gomtrique des produits (GPS) - Filtrage - Partie 49: Filtres de profil morphologiques: Techniques danalyse par espace dchelle (ISO 16610-49:2015) Geometrisc
6、he Produktspezifikation (GPS) - Filterung - Teil 49: Morphologische Profilfilter: Skalenraumverfahren (ISO 16610-49:2015) This European Standard was approved by CEN on 14 February 2015. CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for givin
7、g 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 Centre or to any CEN member. This European Standard exists in three offic
8、ial 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 the official versions. CEN members are the national standards bodies of
9、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, Spain, S
10、weden, 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
11、 CEN national Members. Ref. No. EN ISO 16610-49:2015 EBS EN ISO 16610-49:2015EN ISO 16610-49:2015 (E) 3 Foreword This document (EN ISO 16610-49:2015) has been prepared by Technical Committee ISO/TC 213“Dimensional and geometrical product specifications and verification” in collaboration with Technic
12、alCommittee CEN/TC 290 “Dimensional and geometrical product specification and verification” the secretariat ofwhich is held by AFNOR. This European Standard shall be given the status of a national standard, either by publication of an identicaltext or by endorsement, at the latest by December 2015,
13、and conflicting national standards shall be withdrawnat the latest by December 2015. Attention is drawn to the possibility that some of the elements of this document may be the subject of patentrights. CEN and/or CENELEC shall not be held responsible for identifying any or all such patent rights. Ac
14、cording to the CEN-CENELEC Internal Regulations, the national standards organizations of the followingcountries are bound to implement this European Standard: Austria, Belgium, Bulgaria, Croatia, Cyprus, CzechRepublic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France, Germany
15、, 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 text of ISO 16610-49:2015 has been approved by CEN as EN ISO 16610-49:
16、2015 without anymodification. BS EN ISO 16610-49:2015ISO 16610-49:2015(E)Foreword ivIntroduction vi1 Scope . 12 Normative references 13 Terms and definitions . 14 General scale space background 24.1 General . 24.2 Size and anti-size distributions 24.3 Alternating symmetrical filters . 34.4 Nested ma
17、thematical models . 45 Recommendations 45.1 Circular disk structuring element. 45.2 Horizontal line structuring element . 55.3 Default scale space technique 56 Filter designation.5Annex A (informative) Illustrative examples of scale space . 6Annex B (informative) Concept diagram .14Annex C (informat
18、ive) Relationship to the filtration matrix model 15Annex D (informative) Relationship to the GPS matrix model .16Bibliography .17 ISO 2015 All rights reserved iiiContents PageBS EN ISO 16610-49:2015ISO 16610-49:2015(E)ForewordISO (the International Organization for Standardization) is a worldwide fe
19、deration 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 represented on that com
20、mittee. 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 develop this document a
21、nd 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/IEC Directives, Pa
22、rt 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 development of
23、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 ISO specific t
24、erms 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 committee responsible for this document is ISO/TC 213, Dimensional and geom
25、etrical product specifications and verification.This first edition cancels and replaces ISO/TS 16610-49:2006 which has been technically revised.ISO 16610 consists of the following parts, under the general title Geometrical product specifications (GPS) Filtration : Part 1: Overview and basic concepts
26、 Part 20: Linear profile filters: 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 pr
27、ofile filters: Gaussian regression 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 filters Part 49: Morphological profile filters: Scale space techniques Part 60: L
28、inear areal filters: Basic concepts Part 61: Linear areal filters: Gaussian filtersiv ISO 2015 All rights reservedBS EN ISO 16610-49:2015ISO 16610-49:2015(E) Part 71: Robust areal filters: Gaussian regression filters Part 85: Morphological areal filters: SegmentationThe following parts are planned:
29、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 sets Part 45: Morphological profile filters: Segmentation Part 62: Linear areal filters: Spline filters Part 69: Linear
30、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 81: Morphological areal filters: Sphere and horizontal planar segment filters Part 89: Morphological areal filters: Sca
31、le space techniques ISO 2015 All rights reserved vBS EN ISO 16610-49:2015ISO 16610-49:2015(E)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 chain links 3 and 5 in the GPS matri
32、x structure.The ISO/GPS Masterplan 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 part of ISO 16610 and the default decision rules given in ISO 14253-1 apply to specifications made
33、 in accordance with this part of ISO 16610, unless otherwise indicated.For more detailed information of the relation about this part of ISO 16610 to the GPS matrix model, see Annex D.This part of ISO 16610 develops the terminology and concepts for morphological scale space techniques.vi ISO 2015 All
34、 rights reservedBS EN ISO 16610-49:2015INTERNATIONAL STANDARD ISO 16610-49:2015(E)Geometrical product specifications (GPS) Filtration Part 49: Morphological profile filters: Scale space techniques1 ScopeThis part of ISO 16610 specifies morphological scale space techniques. The basic terminology for
35、scale space techniques is given together with their usage.2 Normative referencesThe following documents, 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 lates
36、t edition of the referenced document (including any amendments) applies.ISO 16610-1:2015, Geometrical product specification (GPS) Filtration Part 1: Overview and basic terminologyISO 16610-40:2015, Geometrical product specifications (GPS) Filtration Part 40: Morphological profile filters: Basic conc
37、epts3 Terms and definitionsFor the purposes of this document, the terms and definitions given in ISO 16610-1, ISO 16610-40, and the following apply.3.1size distributionindexed family of openings (3.1.1) which satisfies the sieve criterion (3.3)3.1.1openingmorphological filters morphological operatio
38、n obtained by applying the erosion followed by the dilationNote 1 to entry: An opening is both a morphological filter and one of the two basic building blocks for other morphological filters.SOURCE: ISO 16610-40:20153.2anti-size distributionindexed family of closings (3.2.1) which satisfies the siev
39、e criterion (3.3)3.2.1closingmorphological filters morphological operation obtained by applying the dilation followed by the erosionNote 1 to entry: A closing is both a morphological filter and one of the two basic building blocks for other morphological filters.SOURCE: ISO 16610-40:2015 ISO 2015 Al
40、l rights reserved 1BS EN ISO 16610-49:2015ISO 16610-49:2015(E)3.3sieve criterioncriterion where two primary mappings applied one after another to a surface portion is entirely equivalent to only applying one of these two primary mappings to the surface portion namely that primary mapping with the hi
41、ghest nesting indexSOURCE: ISO 16610-1:20153.4scaleindexing parameter in a size distribution (3.1) or anti-size distribution (3.2)Note 1 to entry: A size and an anti-size distribution are often combined to create a continuous real scale, where the positive scale uses the size distribution and the ne
42、gative scale uses the anti-size distribution with minus scale values.Note 2 to entry: Scale is a nesting index.3.5scale spacesize distribution (3.1) or anti-size distribution (3.2) with the monotone property (3.5.1)3.5.1monotone propertyproperty that once an object in a signal (profile/surface) is p
43、resent at some scale (3.4), it shall persist all the way through scale space (3.5) to zero scale3.6alternating symmetrical filtermorphological filter satisfying the sieve criterion (3.3) which can eliminate peaks and valleys below a given scale (3.4)4 General scale space background4.1 GeneralA scale
44、 space technique conforming to this part of ISO 16610 shall exhibit the characteristics described in 4.2, 4.3, 4.4, 5.1, 5.2, and 5.3.Scale space is a way of decomposing a signal (profile/surface) into objects of different scales. A defining feature of scale space is the property that an object, onc
45、e present at some scale in a signal, shall persist all the way through scale space to zero scale. This is often called the monotone property, since the number of objects shall necessarily be a monotone decreasing function of scale.To define scale space, we need to define the size of objects in a sig
46、nal (profile/surface). The concept of the size and anti-size distribution is a mathematical generic approach to the definition of size of objects in a signal (profile/surface).Note Examples of scale space are given in Annex A. A concept diagram for the concepts for morphological profile filters: sca
47、le space techniques is given in Annex B. The relationship to the filtration matrix model is given in Annex C.4.2 Size and anti-size distributionsSieving is a commonly used sizing technique. In physical terms, sieving involves classifying small solid particles according to a series of sieves with dec
48、reasing mesh openings. In the first place, the population of different sized grains are allowed to work their way through the sieves (a transformation) in order to classify the different sizes of grains. The contents of each sieve are then either counted or weighed to obtain a histogram of the size
49、distribution of the original population of particles.Matheron4was the first to define mathematically the concept of size. He demonstrated that a family of morphological openings, satisfying the sieve criterion and indexed by a positive number called the 2 ISO 2015 All rights reservedBS EN ISO 16610-49:2015ISO 16610-49:2015(E)scale, could be used to define the concept of size and size distributions, analogous to physically sieving a population of particles as described above.Since size distributions are b
