1、December 2015 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 17.040.30!%Iw3“2388416www.din.d
2、eDIN EN ISO 16610-49Geometrical product specifications (GPS) Filtration Part 49: Morphological profile filters: Scale space techniques (ISO 16610-49:2015);English version EN ISO 16610-49:2015,English translation of DIN EN ISO 16610-49:2015-12Geometrische Produktspezifikation (GPS) Filterung Teil 49:
3、 Morphologische Profilfilter: Skalenraumverfahren (ISO 16610-49:2015);Englische Fassung EN ISO 16610-49:2015,Englische bersetzung von DIN EN ISO 16610-49:2015-12Spcification gomtrique des produits (GPS) Filtrage Partie 49: Filtres de profil morphologiques: Techniques danalyse par espace dchelle (ISO
4、 16610-49:2015);Version anglaise EN ISO 16610-49:2015,Traduction anglaise de DIN EN ISO 16610-49:2015-12www.beuth.deDocument comprises 24 pagesDTranslation by DIN-Sprachendienst.In case of doubt, the German-language original shall be considered authoritative.11.15 DIN EN ISO 16610-49:2015-12 2 A com
5、ma is used as the decimal marker. National foreword This document (EN ISO 16610-49:2015) 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 “Dimensio
6、nal and geometrical product specification 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 Stan
7、dards corresponding to the International Standards referred to in this document are as follows: ISO 16610-1 DIN EN ISO 16610-1 ISO 16610-40 DIN EN ISO 16610-40 National Annex NA (informative) Bibliography DIN EN ISO 16610-1, Geometrical product specifications (GPS) Filtration Part 1: Overview and ba
8、sic concepts DIN EN ISO 16610-40, Geometrical product specifications (GPS) Filtration Part 40: Morphological profile filters: Basic concepts EUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN ISO 16610-49 June 2015 ICS 17.040.20 English Version Geometrical product specifications (GPS) - Filtration
9、 - 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) Geometrische Produktspezifikation (GPS) - Filterung - T
10、eil 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 giving this European Standard the status of a nati
11、onal 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 versions (English, French, German). A ver
12、sion 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, Belgium, Bulgaria, Croatia, Cyprus,
13、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, Switzerland, Turkey and United Kingdom
14、. 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 national Members. Ref. No. EN ISO 16610-
15、49:2015 EForeword .Introduction .1 Scope .2 Normative references 3 Terms and definitions .4 General scale space background 4.1 General .4.2 Size and anti-size distributions 4.3 Alternating symmetrical filters .4.4 Nested mathematical models .5 Recommendations 5.1 Circular disk structuring element.5.
16、2 Horizontal line structuring element 5.3 Default scale space technique .6 Filter designationAnnex A (informative) Illustrative examples of scale space Annex B (informative) Concept diagram .19Annex C (informative) Relationship to the filtration matrix model Annex D (informative) Relationship to the
17、 GPS matrix model .Bibliography .Contents PageEN ISO 16610-49:2015 (E) 299101120212210109877766635DIN EN ISO 16610-49:2015-12 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 col
18、laboration 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 publication of an identical text or by endorsement, at the
19、 latest by December 2015, and conflicting national standards shall be withdrawn at the latest by December 2015. 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 held responsible for identifying any o
20、r all such patent rights. 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: Profile filters: End effects Part 29: Linear profile filters: Spline wavelets Part
21、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: Morphological profile filters: Disk and horizontal line-segment filters Part 49: Mor
22、phological 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 filters Part 85: Morphological areal filters: Segmentation The following parts are planned: Part 26: Lin
23、ear profile filters: Filtration on nominally orthogonal grid planar data sets Part 27: Linear profile filters: Filtration on nominally orthogonal grid cylindrical data sets EN ISO 16610-49:2015 (E) 3DIN EN ISO 16610-49:2015-12 EN ISO 16610 consists of the following parts, under the general title Geo
24、metrical product specifications (GPS) Filtration: 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: Mor
25、phological areal filters: Basic concepts Part 81: Morphological areal filters: Sphere and horizontal planar segment filters Part 89: Morphological areal filters: Scale space techniques According to the CEN-CENELEC Internal Regulations, the national standards organizations of the following countries
26、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, Poland,
27、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 16610-49:2015 without any modification. EN ISO 16610-49:2015 (E) 4DIN EN ISO 16610-49:2015-12 IntroductionThis part of
28、 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 matrix structure.The ISO/GPS Masterplan given in ISO 14638 gives an overview of the ISO/GPS system of which this part of I
29、SO 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.For more detailed information of the relation
30、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.EN ISO 16610-49:2015 (E) 5DIN EN ISO 16610-49:2015-12 1 ScopeThis part of ISO 16610 specifies morphological scale space techniques.
31、The basic terminology for 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 und
32、ated references, the latest 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 p
33、rofile filters: Basic concepts3 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 filt
34、ers morphological operation 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
35、) which satisfies the sieve 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
36、 16610-40:2015EN ISO 16610-49:2015 (E) 6DIN EN ISO 16610-49:2015-12 N1)National footnote: SOURCE: ISO 16610-40:2015, 3.9. N2)National footnote: SOURCE: ISO 16610-40:2015, 3.10. N2)N1)3.3sieve criterioncriterion where two primary mappings applied one after another to a surface portion is entirely equ
37、ivalent to only applying one of these two primary mappings to the surface portion namely that primary mapping with the highest 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 distribu
38、tion are often combined to create a continuous real scale, where the positive scale uses the size distribution and the negative 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
39、) with the monotone property (3.5.1)3.5.1monotone propertyproperty that once an object in a signal (profile/surface) is present 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 criterio
40、n (3.3) which can eliminate peaks and valleys below a given scale (3.4)4 General scale space background4.1 GeneralA scale 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
41、(profile/surface) into objects of different scales. A defining feature of scale space is the property that an object, once 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 nec
42、essarily be a monotone decreasing function of scale.To define scale space, we need to define the size of objects in a signal (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).Not
43、e Examples of scale space are given in Annex A. A concept diagram for the concepts for morphological profile filters: scale 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
44、technique. In physical terms, sieving involves classifying small solid particles according to a series of sieves with decreasing 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 di
45、fferent sizes of grains. The contents of each sieve are then either counted or weighed to obtain a histogram of the size 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,
46、satisfying the sieve criterion and indexed by a positive number called the EN ISO 16610-49:2015 (E) 7DIN EN ISO 16610-49:2015-12 N3)National footnote: SOURCE: ISO 16610-1:2015, 3.4.1. N3)scale, could be used to define the concept of size and size distributions, analogous to physically sieving a popu
47、lation of particles as described above.Since size distributions are based on a family of opening filters, the size distribution measures the width of peaks on the signal/image. Using the opening filter of a particular scale eliminates peaks whose widths are less than this given scale (see Figure 1).
48、 The dual concept of anti-size distributions based on a family of closing filters measures the width of valleys on the signal/image. Using the closing filter of a particular scale eliminates valleys whose widths are less than this given scale (see Figure 1).KeyA original profileB profile after closi
49、ng with a horizontal lineC profile after opening with a horizontal lineNote The process illustrated in Figure 1 eliminates features whose widths are less than the size of the structural element, i.e. size 2.Figure 1 Closing and opening with a horizontal line structural element of size 24.3 Alternating symmetrical filtersAn opening filter of a particular scale from a size distribution removes pea
