EN ISO 17450-4:2018

SLOVENSKI STANDARD
01-april-2018
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND*362VQRYQLSRMPLGHO
*HRPHWULMVNHODVWQRVWL]DYUHGQRWHQMHRGVWRSDQM*36,62
Geometrical product specification (GPS) - Basic concepts - Part 4: Geometrical
characteristics for quantifying GPS deviations (ISO 17450-4:2017)
Geometrische Produktspezifikation (GPS) - Grundlagen - Teil 4: Geometrische Merkmale
(ISO 17450-4:2017)
Spécification géométrique des produits (GPS) - Concepts gnénéraux - Partie 4:
Caractéristiques géométriques (ISO 17450-4:2017)
Ta slovenski standard je istoveten z: EN ISO 17450-4:2018
ICS:
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.

EN ISO 17450-4
EUROPEAN STANDARD
NORME EUROPÉENNE
January 2018
EUROPÄISCHE NORM
ICS 17.040.40
English Version
Geometrical product specifications (GPS) - Basic concepts -
Part 4: Geometrical characteristics for quantifying GPS
deviations (ISO 17450-4:2017)
Spécification géométrique des produits (GPS) - Geometrische Produktspezifikation (GPS) - Grundlagen
Concepts généraux - Partie 4: Caractéristiques - Teil 4: Geometrische Merkmale zur Quantifizierung
géométriques pour la quantification des écarts GPS von GPS-Abweichungen (ISO 17450-4:2017)
(ISO 17450-4:2017)
This European Standard was approved by CEN on 15 October 2017.

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, Serbia, 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: Rue de la Science 23, B-1040 Brussels
© 2018 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 17450-4:2018 E
worldwide for CEN national Members.

Contents Page
European foreword . 3

European foreword
This document (EN ISO 17450-4:2018) 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 July 2018, and conflicting national standards shall be
withdrawn at the latest by July 2018.
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. CEN 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, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland,
Turkey and the United Kingdom.
Endorsement notice
The text of ISO 17450-4:2017 has been approved by CEN as EN ISO 17450-4:2018 without any
modification.
INTERNATIONAL ISO
STANDARD 17450-4
First edition
2017-12
Geometrical product specifications
(GPS) — Basic concepts —
Part 4:
Geometrical characteristics for
quantifying GPS deviations
Spécification géométrique des produits (GPS) — Concepts
généraux —
Partie 4: Caractéristiques géométriques pour la quantification des
écarts GPS
Reference number
ISO 17450-4:2017(E)
©
ISO 2017
ISO 17450-4:2017(E)
© ISO 2017, 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
written permission. Permission can be requested from either ISO at the address below or ISO’s member body in the country of
the requester.
ISO copyright office
Ch. de Blandonnet 8 • CP 401
CH-1214 Vernier, Geneva, Switzerland
Tel. +41 22 749 01 11
Fax +41 22 749 09 47
copyright@iso.org
www.iso.org
ii © ISO 2017 – All rights reserved

ISO 17450-4:2017(E)
Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Geometrical characteristic . 3
4.1 General . 3
4.2 Types of geometrical characteristic . 5
Annex A (informative) Relationship to the GPS matrix model .14
Bibliography .15
ISO 17450-4:2017(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 voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO's adherence to the
World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT) see the following
URL: www.iso.org/iso/foreword.html.
This document was prepared by Technical Committee is 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.
A list of all parts in the ISO 17450 series can be found on the ISO website.
iv © ISO 2017 – All rights reserved

ISO 17450-4:2017(E)
Introduction
This document is a geometrical product specification (GPS) standard and is to be regarded as a general
GPS standard (see ISO 14638). The rules and principles given in this document apply to all segments of
the ISO GPS matrix which are indicated with a filled dot (•).
The ISO/GPS matrix model given in ISO 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 document to other standards and to the GPS
matrix model, see Annex A.
INTERNATIONAL STANDARD ISO 17450-4:2017(E)
Geometrical product specifications (GPS) — Basic
concepts —
Part 4:
Geometrical characteristics for quantifying GPS deviations
1 Scope
This document specifies general rules for quantifying GPS deviations for individual GPS characteristics.
NOTE GPS deviations can be local or global. A GPS characteristic defined from local GPS deviations is a
parameter that transforms the set of local deviations into a global characteristic using a quantifying function
(for more details, see Table 1).
2 Normative references
The following documents are referred to in the text in such a way that some or all of their content
constitutes requirements 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 25378, Geometrical product specifications (GPS) — Characteristics and conditions — Definitions
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 25378 and the following apply.
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— IEC Electropedia: available at http://www.electropedia.org/
— ISO Online browsing platform: available at https://www.iso.org/obp
3.1
local geometrical deviation
dP ,dP
() ()
A
n
local signed distance between a point, P, of an input feature and a point of the reference feature
Note 1 to entry: d(P) identifies any local geometrical deviation attached to any point (P) of the input feature.
Note 2 to entry: A local geometrical deviation, dP , can be located in an n-dimensional reference space, A ,
()
n
A
n
attached to the reference feature.
Note 3 to entry: A local geometrical deviation exists in any point of the input feature (see Figure 1). Each local
geometrical deviation of a point of the input feature can be represented in a reference space, A , by the abscises
n
of its corresponding point of the reference feature and by the ordinate corresponding to the local geometrical
deviation.
Note 4 to entry: A local geometrical deviation can be described as an ordinate of a point of the variation curve
whose abscises are defined in the reference space, A .
n
Note 5 to entry: A local geometrical deviation is equal to zero when the deviated feature crosses the reference
feature.
ISO 17450-4:2017(E)
Key
1 deviated feature (input feature)
2 reference feature
3 local geometrical deviation
P point of key 1 from which key 3 is defined
Figure 1 — Local geometrical deviation
3.2
reference space
A
n
space defined by n curvilinear axes attached to a reference feature in which for each point of an input
feature a local deviation is defined
Note 1 to entry: n is equal to 1 for a reference line, or equal to 2 for a reference surface
...