EN ISO 16610-40:2015

SLOVENSKI STANDARD
01-september-2015
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Geometrical product specifications (GPS) - Filtration - Part 40: Morphological profile
filters: Basic concepts (ISO 16610-40:2015)
Geometrische Produktspezifikation (GPS) - Filterung - Teil 40: Morphologische
Profilfilter: Grundlegende Konzepte (ISO 16610-40:2015)
Spécification géométrique des produits (GPS) - Filtrage - Partie 40: Filtres de profil
morphologiques: Concepts de base (ISO 16610-40:2015)
Ta slovenski standard je istoveten z: EN ISO 16610-40:2015
ICS:
17.040.20 Lastnosti površin Properties of surfaces
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

EUROPEAN STANDARD
EN ISO 16610-40
NORME EUROPÉENNE
EUROPÄISCHE NORM
June 2015
ICS 17.040.20
English Version
Geometrical product specifications (GPS) - Filtration - Part 40:
Morphological profile filters: Basic concepts (ISO 16610-
40:2015)
Spécification géométrique des produits (GPS) - Filtrage - Geometrische Produktspezifikation (GPS) - Filterung - Teil
Partie 40: Filtres de profil morphologiques: Concepts de 40: Morphologische Profilfilter: Grundlegende Konzepte
base (ISO 16610-40:2015) (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 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 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 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, Sweden, Switzerland, Turkey and United
Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR 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 Ref. No. EN ISO 16610-40:2015 E
worldwide for CEN national Members.

Contents Page
Foreword .3

Foreword
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 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 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 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, 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 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.
INTERNATIONAL ISO
STANDARD 16610-40
First edition
2015-06-01
Geometrical product specifications
(GPS) — Filtration —
Part 40:
Morphological profile filters: Basic
concepts
Spécification géométrique des produits (GPS) — Filtrage —
Partie 40: Filtres de profil morphologiques: Concepts de base
Reference number
ISO 16610-40:2015(E)
©
ISO 2015
ISO 16610-40:2015(E)
© ISO 2015, Published in Switzerland
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form
or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior
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copyright@iso.org
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ii © ISO 2015 – All rights reserved

ISO 16610-40:2015(E)
Contents Page
Foreword .iv
Introduction .vi
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Basic concepts . 3
4.1 Minkowski sums . 3
4.1.1 General. 3
4.1.2 Minkowski addition . . 3
4.1.3 Minkowski subtraction . 4
4.2 Morphological operations . 4
4.2.1 General. 4
4.2.2 Dilation . 4
4.2.3 Erosion. 5
4.2.4 Opening . 5
4.2.5 Closing . . 6
4.2.6 Higher order morphological operations . 6
4.2.7 Properties of morphological operations . 7
5 Morphological filters . 7
5.1 General . 7
5.2 Fill transform . 7
5.3 Discrete morphological filters . 8
5.4 Envelope filters . 8
5.5 Sampling and reconstruction . 8
Annex A (informative) Concept diagram .13
Annex B (informative) Relationship to the filtration matrix model .14
Annex C (informative) Relationship to the GPS matrix model .15
Bibliography .16
ISO 16610-40:2015(E)
Foreword
ISO (the 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
committee 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
electrotechnical 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 in 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. 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 an endorsement.
For an explanation on the meaning of ISO specific terms and expressions related to conformity
assessment, as well as information about ISO’s adherence to the WTO principles in the Technical Barriers
to Trade (TBT) see the following URL: Foreword - Supplementary information
The committee 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.
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: 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 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: Linear areal filters: Basic concepts
iv © ISO 2015 – All rights reserved
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