SIST EN ISO 17450-4:2018
(Main)Geometrical product specification (GPS) - Basic concepts - Part 4: Geometrical characteristics for quantifying GPS deviations (ISO 17450-4:2017)
Geometrical product specification (GPS) - Basic concepts - Part 4: Geometrical characteristics for quantifying GPS deviations (ISO 17450-4:2017)
This part of ISO 17450 gives general rules for building the GPS characteristics: size characteristics and geometrical characteristics. It defines a set of GPS characteristics (size characteristic and geometrical characteristic), which can be taken as default GPS characteristic or as special GPS characteristic, depending to the drawing indication, which is not a part of this standard. Moreover, this part of ISO 17450 presents a way to control the manufacturing process parameters by decomposition of a specified characteristic in a set of one or more characteristics.
Geometrische Produktspezifikation (GPS) - Grundlagen - Teil 4: Geometrische Merkmale (ISO 17450-4:2017)
Dieses Dokument legt allgemeine Regeln für die Quantifizierung von GPS-Abweichungen für einzelne GPS Merkmale.
ANMERKUNG GPS-Abweichungen können lokal oder global sein. Ein GPS-Merkmal, dass durch lokale GPS-Abweichungen definiert ist, ist ein Parameter der die Menge lokaler Abweichungen mittels einer Quantifizierungsfunktion in ein globales Merkmal zu transformiert (siehe Tabelle 1 für weitere Informationen).
Spécification géométrique des produits (GPS) - Concepts gnénéraux - Partie 4: Caractéristiques géométriques (ISO 17450-4:2017)
ISO 17450-4:2017 spécifie les règles générales pour quantifier les écarts GPS relatifs à des caractéristiques GPS individuelles.
NOTE Un écart GPS peut être local ou global. Une caractéristique GPS définie à partir d'écarts GPS locaux est un paramètre qui transforme l'ensemble des écarts locaux en une caractéristique globale en utilisant une fonction de quantification (pour plus de détails, voir le Tableau 1).
Specifikacija geometrijskih veličin izdelka (GPS) - Osnovni pojmi - 4. del: Geometrijske lastnosti za vrednotenje odstopanj GPS (ISO 17450-4:2017)
Ta del standarda ISO 17450 vsebuje splošna pravila za oblikovanje značilnosti GPS: lastnosti velikosti in geometrijske lastnosti. Opredeljuje nabor značilnosti GPS (lastnost velikosti in geometrijsko lastnost), ki lahko velja za privzeto lastnost GPS ali posebno lastnost GPS, odvisno od risalne oznake, ki ni del tega standarda. Poleg tega ta del standarda ISO 17450 predstavlja način za nadziranje parametrov procesa izdelave z razdelitvijo določene lastnosti iz nabora ene ali več lastnosti.
General Information
Standards Content (Sample)
SLOVENSKI STANDARD
SIST EN ISO 17450-4:2018
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)
SIST EN ISO 17450-4:2018 en,fr,de
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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SIST EN ISO 17450-4:2018
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SIST EN ISO 17450-4:2018
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.
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SIST EN ISO 17450-4:2018
EN ISO 17450-4:2018 (E)
Contents Page
European foreword . 3
2
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SIST EN ISO 17450-4:2018
EN ISO 17450-4:2018 (E)
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.
3
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SIST EN ISO 17450-4:2018
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SIST EN ISO 17450-4:2018
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
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SIST EN ISO 17450-4:2018
ISO 17450-4:2017(E)
COPYRIGHT PROTECTED DOCUMENT
© 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
---------------------- Page: 8 ----------------------
SIST EN ISO 17450-4:2018
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 2017 – All rights reserved iii
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SIST EN ISO 17450-4:2018
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
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SIST EN ISO 17450-4:2018
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.
© ISO 2017 – All rights reserved v
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SIST EN ISO 17450-4:2018
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SIST EN ISO 17450-4:2018
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 2017 – All rights reserved 1
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SIST EN ISO 17450-4:2018
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.
3.2.1
areal reference space
A
2
reference space (3.2) when the reference feature is a surface
Note 1 to entry: Reference space for a two-dimensional reference feature.
3.2.2
linear reference space
A
1
reference space (3.2) when the reference feature is a line
Note 1 to entry: Reference space for a one-dimensional reference feature.
3.2.3
two-directional reference space
combination of two linear reference spaces (3.2.2) of the same linear reference feature whose vectors
normal to any point P of the reference feature are orthogonal
3.3
quantifying function
mathematical function using the complete set of local deviations to define a geometrical characteristic
as a quantity
Note 1 to entry: A quantifying function can be a rank-order characteristic (3.4) (see Table 1).
2 © ISO 2017 – All rights reserved
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SIST EN ISO 17450-4:2018
ISO 17450-4:2017(E)
3.4
rank-order characteristic
geometrical characteristic defined mathematically from a set of local geometrical deviations
Note 1 to entry: A rank-order characteristic is defined from a quantifying function. Several kinds of rank-order
characteristics exist. The formulae describing them are given in Table 1.
3.4.1
maximum
characteristic maximum value of a set of local geometrical deviations
Note 1 to entry: See Table 1.
3.4.2
minimum
characteristic minimum value of a set of local geometrical deviations
Note 1 to entry: See Table 1.
3.4.3
average
characteristic average of a set of local geometrical deviations
Note 1 to entry: See Table 1.
3.4.4
median
characteristic median value of a set of local geometrical deviations
Note 1 to entry: The median value splits the population of local geometrical deviations into two equal portions
(50 % above and 50 % below). Depending on the distribution of the population, the median value and the average
value can be identical or different.
Note 2 to entry: See Table 1.
3.4.5
mid-range
characteristic mean of the maximum (3.4.1) and the minimum (3.4.2)
Note 1 to entry: See Table 1.
3.4.6
range
characteristic difference between the maximum (3.4.1) and the minimum (3.4.2)
Note 1 to entry: See Table 1.
3.4.7
maximum absolute deviation
characteristic maximum of absolute values of the maximum (3.4.1) and the minimum (3.4.2)
N
...
SLOVENSKI STANDARD
oSIST prEN ISO 17450-4:2015
01-september-2015
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND *36 2VQRYQLSRMPLGHO
*HRPHWULMVNHODVWQRVWL ,62',6
Geometrical product specification (GPS) - Basic concepts - Part 4: Geometrical
characteristics (ISO/DIS 17450-4:2015)
Geometrische Produktspezifikation (GPS) - Grundlagen - Teil 4: Geometrische Merkmale
(ISO/DIS 17450-4:2015)
Spécification géométrique des produits (GPS) - Concepts gnénéraux - Partie 4:
Caractéristiques géométriques (ISO/DIS 17450-4:2015)
Ta slovenski standard je istoveten z: prEN ISO 17450-4
ICS:
17.040.30 Merila Measuring instruments
oSIST prEN ISO 17450-4:2015 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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oSIST prEN ISO 17450-4:2015
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oSIST prEN ISO 17450-4:2015
DRAFT INTERNATIONAL STANDARD ISO/DIS 17450-4
ISO/TC 213 Secretariat: DS
Voting begins on Voting terminates on
2015-06-11 2015-09-11
INTERNATIONAL ORGANIZATION FOR STANDARDIZATION МЕЖДУНАРОДНАЯ ОРГАНИЗАЦИЯ ПО СТАНДАРТИЗАЦИИ ORGANISATION INTERNATIONALE DE NORMALISATION
Geometrical product specifications (GPS) — Basic concepts —
Part 4:
Geometrical characteristics for quantifying form, orientation,
location and run-out deviation
Spécification géométrique des produits (GPS) — Concepts gnénéraux —
Partie 4: Caractéristiques géométriques pour la quantification des écarts de forme, d'orientation, de position et
de battement
ICS 17.040.10
ISO/CEN PARALLEL PROCESSING
This draft has been developed within the International Organization for Standardization (ISO), and
processed under the ISO-lead mode of collaboration as defined in the Vienna Agreement.
This draft is hereby submitted to the ISO member bodies and to the CEN member bodies for a parallel
five-month enquiry.
Should this draft be accepted, a final draft, established on the basis of comments received, will be
submitted to a parallel two-month approval vote in ISO and formal vote in CEN.
To expedite distribution, this document is circulated as received from the committee
secretariat. ISO Central Secretariat work of editing and text composition will be undertaken at
publication stage.
Pour accélérer la distribution, le présent document est distribué tel qu'il est parvenu du
secrétariat du comité. Le travail de rédaction et de composition de texte sera effectué au
Secrétariat central de l'ISO au stade de publication.
THIS DOCUMENT IS A DRAFT CIRCULATED FOR COMMENT AND APPROVAL. IT IS THEREFORE SUBJECT TO CHANGE AND MAY NOT BE
REFERRED TO AS AN INTERNATIONAL STANDARD UNTIL PUBLISHED AS SUCH.
IN ADDITION TO THEIR EVALUATION AS BEING ACCEPTABLE FOR INDUSTRIAL, TECHNOLOGICAL, COMMERCIAL AND USER PURPOSES,
DRAFT INTERNATIONAL STANDARDS MAY ON OCCASION HAVE TO BE CONSIDERED IN THE LIGHT OF THEIR POTENTIAL TO BECOME
STANDARDS TO WHICH REFERENCE MAY BE MADE IN NATIONAL REGULATIONS.
RECIPIENTS OF THIS DRAFT ARE INVITED TO SUBMIT, WITH THEIR COMMENTS, NOTIFICATION OF ANY RELEVANT PATENT RIGHTS OF WHICH
THEY ARE AWARE AND TO PROVIDE SUPPORTING DOCUMENTATION.
© International Organization for Standardization, 2015
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oSIST prEN ISO 17450-4:2015
ISO/DIS 17450-4
COPYRIGHT PROTECTED DOCUMENT
© ISO 2015
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
Case postale 56 CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail copyright@iso.org
Web www.iso.org
Published in Switzerland
ii © ISO 2015 – All rights reserved
---------------------- Page: 4 ----------------------
oSIST prEN ISO 17450-4:2015
ISO/DIS 17450-4
Contents Page
Foreword . iv
Introduction . v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Geometrical characteristic . 4
4.1 General . 4
4.2 Geometrical characteristic . 5
Annex A (informative) Relationship to the GPS matrix model . 11
Bibliography . 12
© ISO 2014 – All rights reserved iii
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oSIST prEN ISO 17450-4:2015
ISO/DIS 17450-4
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 verifications.
ISO 17450-4 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification and by Technical Committee CEN/TC 290, Dimensional and geometrical
product specification and verification in collaboration.
ISO 17450 consists of the following parts, under the general title Geometrical product specification (GPS) —
Basic concepts:
Part 1: Model for geometrical specification and verification
Part 2: Basic tenets, specifications, operators, uncertainties and ambiguities
Part 3: Toleranced features
Part 4: Geometrical characteristics for quantifying form, orientation, location and run-out deviations
iv © ISO 2014 – All rights reserved
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oSIST prEN ISO 17450-4:2015
ISO/DIS 17450-4
Introduction
This part of ISO 17450 is a Geometrical Product Specifications (GPS) standard and is to be regarded as a
global GPS standard (see ISO 14638). It influences all chain links in all chains of standards in the general
GPS matrix model.
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 part of ISO 17450 to other standards and to the GPS
matrix model, see Annex A.
© ISO 2014 – All rights reserved v
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oSIST prEN ISO 17450-4:2015
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oSIST prEN ISO 17450-4:2015
DRAFT INTERNATIONAL STANDARD ISO/DIS 17450-4
Geometrical product specification (GPS) — Basic concepts —
Part 4: Geometrical characteristics for quantifying form,
orientation, location and run-out deviations
1 Scope
This part of ISO 17450 gives general rules for building the geometrical characteristics for form, orientation,
location and run-out.
2 Normative references
The 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 latest edition of the referenced document (including any amendments) applies.
ISO 25378:2011, 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 25378:2011 and the following apply.
NOTE "Input feature", "GPS characteristic", "deviated feature" and "reference feature" are terms defined in ISO
25378:2011.
3.1
local geometrical deviation
d(P), d(P)An
local signed distance whose direction is defined normal or not to the reference feature, between a point, P, of
a reference feature and the point of the input feature, defined in an n-dimensional reference space, An
Note 1 to entry: d(P) corresponds to any local geometrical deviation for any location along the reference space A
n
while d(P) corresponds to a particular location on the reference space.
An
Note 2 to entry: A local geometrical deviation is defined in any point on the reference feature, see Figure 1. A point P
of the reference feature can be defined, by its coordinates in the reference space, A
n.
Note 3 to entry: A local geometrical deviation is an ordinate of a point of the variation curve whose abscises are
defined in the reference space, A
n.
Note 4 to entry: A local geometrical deviation is equal to zero when the deviated feature crosses the reference feature.
© ISO 2014 – All rights reserved
1
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oSIST prEN ISO 17450-4:2015
ISO/DIS 17450-4
2 3
1
Key
1 Reference feature
2 Deviated feature (input feature)
3 Local geometrical characteristic value
Figure 1 — Local geometrical deviation
3.2
reference space
An
set of n curvilinear axes attached to a reference feature which is associated to an n-dimensional input feature
Note 1 to entry: n is equal to 1 for a reference line, or equal to 2 for a reference surface.
Note 2 to entry: the curvilinear axes of the reference space are locally normal to the normal vector in any point P of a
reference feature. This normal vector corresponds to the direction of an axis of a local coordinate system (Plücker
coordinate system).
3.2.1
areal reference space
A2
reference space when the reference feature is a surface
Note 1 to entry: reference space for a 2-dimensional reference feature.
3.2.2
linear reference space
A
1
reference space when the reference feature is a line
Note 1 to entry: Reference space for a 1-dimensional reference feature.
© ISO 2014 – All rights reserved
2
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oSIST prEN ISO 17450-4:2015
ISO/DIS 17450-4
3.3
quantifying function
mathematical function using the set of values observed on a variation curve to define a geometrical
characteristic as a quantity
Note 1 to entry: A quantifying function can be a rank-order function (See Table 1).
3.4
rank-order characteristic
geometrical characteristic defined mathematically from a homogeneous set of all local geometrical deviations
Note 1 to entry: A rank-order characteristic is defined from a quantifying function. Several kinds of rank-order
characteristics exist. The formula describing them are given in Table 1.
3.4.1
maximum (rank-order)
rank-order characteristic (3.4) being the maximum of the set of all local geometrical deviations
Note 1 to entry: See Table 1.
3.4.2
minimum (rank-order)
rank-order characteristic (3.4) being the minimum of the set of all local geometrical deviations
Note 1 to entry: See Table 1.
3.4.3
average (rank-order)
rank-order characteristic (3.4) being the average of the set of all local geometrical deviations
Note 1 to entry: See Table 1.
3.4.4
median (rank-order)
rank-order characteristic (3.4) being the median value of the set of all local geometrical deviations,
Note 1 to entry: The median value splits the population of local geometrical deviations into two equal portions (50 %
above and 50 % below). Depending on the repartitioning of the population, the median value and the average value ca
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