SIST EN ISO 12181-1:2011

SLOVENSKI STANDARD
01-november-2011
1DGRPHãþD
SIST-TS CEN ISO/TS 12181-1:2008
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND.URåQRVWGHO6ORYDULQSDUDPHWUL
NURåQHREOLNH,62
Geometrical product specifications (GPS) - Roundness - Part 1: Vocabulary and
parameters of roundness (ISO 12181-1:2011)
Geometrische Produktspezifikation (GPS) - Rundheit - Teil 1: Begriffe und Kenngrößen
der Rundheit (ISO 12181-1:2011)
Spécification géométrique des produits (GPS) - Circularité - Partie 1: Vocabulaire et
paramètres de circularité (ISO 12181-1:2011)
Ta slovenski standard je istoveten z: EN ISO 12181-1:2011
ICS:
01.040.17 Meroslovje in merjenje. Metrology and measurement.
Fizikalni pojavi (Slovarji) Physical phenomena
(Vocabularies)
17.040.40 6SHFLILNDFLMDJHRPHWULMVNLK Geometrical Product
YHOLþLQL]GHOND*36 Specification (GPS)
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

EUROPEAN STANDARD
EN ISO 12181-1
NORME EUROPÉENNE
EUROPÄISCHE NORM
April 2011
ICS 01.040.17; 17.040.20 Supersedes CEN ISO/TS 12181-1:2007
English Version
Geometrical product specifications (GPS) - Roundness - Part 1:
Vocabulary and parameters of roundness (ISO 12181-1:2011)
Spécification géométrique des produits (GPS) - Circularité - Geometrische Produktspezifikation (GPS) - Rundheit - Teil
Partie 1: Vocabulaire et paramètres de circularité (ISO 1: Begriffe und Kenngrößen der Rundheit (ISO 12181-
12181-1:2011) 1:2011)
This European Standard was approved by CEN on 17 March 2011.

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, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland,
Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.

EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR NORMUNG

Management Centre: Avenue Marnix 17, B-1000 Brussels
© 2011 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 12181-1:2011: E
worldwide for CEN national Members.

Contents Page
Foreword .3

Foreword
This document (EN ISO 12181-1:2011) 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 October 2011, and conflicting national standards shall be withdrawn at
the latest by October 2011.
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.
This document supersedes CEN ISO/TS 12181-1:2007.
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, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia,
Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain,
Sweden, Switzerland and the United Kingdom.
Endorsement notice
The text of ISO 12181-1:2011 has been approved by CEN as a EN ISO 12181-1:2011 without any
modification.
INTERNATIONAL ISO
STANDARD 12181-1
First edition
2011-04-01
Geometrical product specifications
(GPS) — Roundness —
Part 1:
Vocabulary and parameters of roundness
Spécification géométrique des produits (GPS) — Circularité —
Partie 1: Vocabulaire et paramètres de circularité

Reference number
ISO 12181-1:2011(E)
©
ISO 2011
ISO 12181-1:2011(E)
©  ISO 2011
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means,
electronic or mechanical, including photocopying and microfilm, without permission in writing from either ISO at the address below or
ISO's member body in the country of the requester.
ISO copyright office
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Published in Switzerland
ii © ISO 2011 – All rights reserved

ISO 12181-1:2011(E)
Contents Page
Foreword .iv
Introduction.v
1 Scope.1
2 Normative references.1
3 Terms and definitions .1
3.1 General terms .1
3.2 Terms relating to profiles .2
3.3 Terms relating to the reference circle .3
3.4 Terms relating to the circumference .4
3.5 Terms relating to the filter function.4
3.6 Terms relating to parameters.5
Annex A (informative) Mathematical definition of roundness tolerances of nominal integral
features.7
Annex B (informative) Synoptic tables of terms, abbreviated terms and parameters.9
Annex C (informative) Relationship to the GPS matrix model .11
Bibliography.13

ISO 12181-1:2011(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.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. Draft International Standards
adopted by the technical committees are circulated to the member bodies for voting. Publication as an
International Standard requires approval by at least 75 % of the member bodies casting a vote.
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.
ISO 12181-1 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification.
This first edition of ISO 12181-1 cancels and replaces ISO/TS 12181-1:2003, which has been technically
revised.
ISO 12181 consists of the following parts, under the general title Geometrical product specifications (GPS) —
Roundness:
⎯ Part 1: Vocabulary and parameters of roundness
⎯ Part 2: Specification operators
iv © ISO 2011 – All rights reserved

ISO 12181-1:2011(E)
Introduction
This part of ISO 12181 is a geometrical product specification (GPS) standard and is to be regarded as a
general GPS standard (see ISO/TR 14638). It influences chain link 2 of the chain of standards on form of a
surface (independent of a datum).
The ISO/GPS Masterplan given in ISO/TR 14638 gives an overview of the ISO/GPS system of which this
document is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this document and the
default decision rules given in ISO 14253-1 apply to specifications made in accordance with this document,
unless otherwise indicated.
For more detailed information on the relationship of this part of ISO 12181 to other standards and the GPS
matrix model, see Annex C.
This part of ISO 12181 defines terms and concepts necessary for defining the specification operators
according to ISO 17450-2 for roundness of integral features.
Extracting data always involves applying a certain filtering process. An additional filtering of the extracted data
might or might not be applied. This additional filter can be a mean line filter (Gaussian, spline, wavelet, etc.) or
a non-linear filter (e.g. morphological filter). The type of filtering influences the actual specification operator
and, consequently, the actual definition of roundness. Therefore, the type of filtering needs to be stated
unambiguously.
This part of ISO 12181 is not intended to disallow any means of measuring roundness.

INTERNATIONAL STANDARD ISO 12181-1:2011(E)

Geometrical product specifications (GPS) — Roundness —
Part 1:
Vocabulary and parameters of roundness
1 Scope
This part of ISO 12181 defines the terms and concepts related to the roundness of individual integral features
and covers complete roundness profiles only.
2 Normative references
The following referenced documents are indispensable for the application of this document. For dated
references, only the edition cited applies. For undated references, the latest edition of the referenced
document (including any amendments) applies.
ISO 14660-1:1999, Geometrical Product Specifications (GPS) — Geometrical features — Part 1: General
terms and definitions
ISO 14660-2:1999, Geometrical Product Specifications (GPS) — Geometrical features — Part 2: Extracted
median line of a cylinder and a cone, extracted median surface, local size of an extracted feature
1)
ISO 17450-1:— , Geometrical product specifications (GPS) — General concepts — Part 1: Model for
geometrical specification and verification
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 14660-1, ISO 14660-2 and
ISO 17450-1 and the following apply.
3.1 General terms
3.1.1
roundness
property of a circle
3.1.2
roundness axis
axis of a feature associated to an integral feature
NOTE The integral feature can be a cylindrical surface or a surface of revolution.

1) To be published. (Revision of ISO/TS 17450-1:2005)
ISO 12181-1:2011(E)
3.1.3
roundness plane
plane perpendicular to the roundness axis within the full extent of the feature
3.2 Terms relating to profiles
3.2.1
extracted circumferential line
〈roundness〉 digital representation of the intersection of the real surface and the roundness plane
NOTE The extraction conventions for roundness are given in ISO 12181-2. This extracted circumferential line is an
extracted integral feature as defined in ISO 14660-1.
3.2.2
roundness profile
extracted circumferential line intentionally modified by a filter
NOTE This is the profile to which the concepts and parameters of this part of ISO 12181 can be applied.
3.2.3
local roundness deviation
minimum distance from a point on a roundness profile to the reference circle
See Figures 1 and 2.
NOTE 1 For reference circle, see 3.3.1.
NOTE 2 The deviation is negative if from the reference circle the point lies in the direction of the material.

Key
1 reference circle
a
Positive local deviation.
b
Negative local deviation.
Figure 1 — Local form deviation of an internal roundness feature
2 © ISO 2011 – All rights reserved

ISO 12181-1:2011(E)
Key
1 reference circle
a
Negative local deviation.
b
Positive local deviation.
Figure 2 — Local form deviation of an external r
...