prEN ISO 4351

Geometrical product specifications (GPS) - Association (ISO/DIS 4351:2022)

This document gives the terminology and basic concepts attached to association, of which an elementary geometrical operation such as filtration, extraction, partition, construction, reconstruction or collection.
NOTE   Association can be used, for example, to establish a datum, to establish a reference feature attached to a geometrical specification or to a surface texture specification, to establish any dimensional characteristic, to establish an intersection plane, an orientation plane, a collection plane, a direction feature.

Geometrische Produktspezifikationen(GPS) - Assoziation (ISO/DIS 4351:2022)

Spécification géométrique des produits (GPS) - Association (ISO/DIS 4351:2022)

Specifikacija geometrijskih veličin izdelka (GPS) - Povezave (ISO/DIS 4351:2022)

General Information

• Status: Not Published
• Publication Date: 10-Sep-2024
• ICS: 17.040.40 - Geometrical Product Specification (GPS)
• Technical Committee: CEN/TC 290 - Dimensional and geometrical product specification and verification
• Drafting Committee: CEN/TC 290 - Dimensional and geometrical product specification and verification
• Current Stage: 4599 - Dispatch of FV draft to CMC - Finalization for Vote
• Start Date: 25-May-2023
• Completion Date: 25-May-2023
• Ref Project: oSIST prEN ISO 4351:2022 - Geometrical product specifications (GPS) - Association (ISO/DIS 4351:2022)

Standards Content (Sample)

SLOVENSKI STANDARD
oSIST prEN ISO 4351:2022
01-oktober-2022
Specifikacija geometrijskih veličin izdelka (GPS) - Povezave (ISO/DIS 4351:2022)
Geometrical product specifications (GPS) - Association (ISO/DIS 4351:2022)
Geometrische Produktspezifikationen(GPS) - Assoziation (ISO/DIS 4351:2022)
Spécification géométrique des produits (GPS) - Association (ISO/DIS 4351:2022)
Ta slovenski standard je istoveten z: prEN ISO 4351
ICS:
17.040.40 Specifikacija geometrijskih Geometrical Product
veličin izdelka (GPS) Specification (GPS)
oSIST prEN ISO 4351:2022 en,fr,de

2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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oSIST prEN ISO 4351:2022
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oSIST prEN ISO 4351:2022
DRAFT INTERNATIONAL STANDARD
ISO/DIS 4351
ISO/TC 213 Secretariat: BSI
Voting begins on: Voting terminates on:
2022-08-16 2022-11-08
Geometrical product specifications (GPS) — Association
Spécification géométrique des produits (GPS) — Association
ICS: 17.040.40
This document is circulated as received from the committee secretariat.
THIS DOCUMENT IS A DRAFT CIRCULATED
FOR COMMENT AND APPROVAL. IT IS
ISO/CEN PARALLEL PROCESSING
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
Reference number
NATIONAL REGULATIONS.
ISO/DIS 4351:2022(E)
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. © ISO 2022
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oSIST prEN ISO 4351:2022
ISO/DIS 4351:2022(E)
DRAFT INTERNATIONAL STANDARD
ISO/DIS 4351
ISO/TC 213 Secretariat: BSI
Voting begins on: Voting terminates on:
Geometrical product specifications (GPS) — Association
Spécification géométrique des produits (GPS) — Association
ICS: 17.040.40
This document is circulated as received from the committee secretariat.
COPYRIGHT PROTECTED DOCUMENT
THIS DOCUMENT IS A DRAFT CIRCULATED
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© ISO 2022
ISO/CEN PARALLEL PROCESSING
THEREFORE SUBJECT TO CHANGE AND MAY

All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may

NOT BE REFERRED TO AS AN INTERNATIONAL

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CH-1214 Vernier, Geneva
POTENTIAL TO BECOME STANDARDS TO
Phone: [phone]
WHICH REFERENCE MAY BE MADE IN
Reference number
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NATIONAL REGULATIONS.
Website: www.iso.org ISO/DIS 4351:2022(E)
RECIPIENTS OF THIS DRAFT ARE INVITED
Published in Switzerland
TO SUBMIT, WITH THEIR COMMENTS,
NOTIFICATION OF ANY RELEVANT PATENT
RIGHTS OF WHICH THEY ARE AWARE AND TO
© ISO 2022 – All rights reserved
PROVIDE SUPPORTING DOCUMENTATION. © ISO 2022
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oSIST prEN ISO 4351:2022
ISO/DIS 4351:2022(E)
Contents Page

Foreword ........................................................................................................................................................................................................................................iv

Introduction .................................................................................................................................................................................................................................v

1 Scope ................................................................................................................................................................................................................................. 1

2 Normative references ..................................................................................................................................................................................... 1

3 Terms and definitions .................................................................................................................................................................................... 1

4 Association specification elements description of association process...................................................3

5 Association criterion ....................................................................................................................................................................................... 4

5.1 General ........................................................................................................................................................................................................... 4

5.2 Objective function description ................................................................................................................................................. 4

5.3 Association constraint ..................................................................................................................................................................... 6

5.4 Material offset shifting .................................................................................................................................................................... 6

6 Specification elements ................................................................................................................................................................................... 6

Annex A (normative) Non-enclosing feature/enclosing feature ............................................................................................ 9

Annex B (informative) Illustration of some results of association ..................................................................................11

Annex C (informative) Relationship to the GPS matrix model ..............................................................................................13

Bibliography .............................................................................................................................................................................................................................14

iii
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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 of 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

www.iso.org/iso/foreword.html.

This document was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product

specifications and verification.

Any feedback or questions on this document should be directed to the user’s national standards body. A

complete listing of these bodies can be found at www.iso.org/members.html.
© ISO 2022 – All rights reserved
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Introduction

This document 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.

The ISO GPS Masterplan 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 the 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 C.

It is pointed out that these ideas — and, for that matter, all the other ideas and concepts applied by

ISO/TC 213 — are subject to development and refinement, as the TC’s recognition and understanding of

them further evolves during its ongoing standards work.
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oSIST prEN ISO 4351:2022
DRAFT INTERNATIONAL STANDARD ISO/DIS 4351:2022(E)
Geometrical product specifications (GPS) — Association
1 Scope

This document gives the terminology, and basic concepts of association including objective functions

and association constraints and material offset shifting.

This document is not intended to define association defaults and GPS syntax which are defined in other

standards.
NOTE The association can be used to establish for example:
— a datum;

— a reference feature in link with a geometrical specification or to a surface texture specification,

— any dimensional characteristic,

— an intersection plane, an orientation plane, a collection plane or a direction feature.

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 17450-1:2011, Geometrical product specifications (GPS) — General concepts — Part 1: Model for

geometrical specification and verification

ISO 17450-4, Geometrical product specifications (GPS) — Basic concepts — Part 4: Geometrical

characteristics for quantifying GPS deviations
3 Terms and definitions

For the purposes of this document, the terms and definitions given in ISO 17450-1 and ISO 17450-4 and

the following apply.

ISO and IEC maintain terminological databases for use in standardization at the following addresses:

— ISO Online browsing platform: available at https:// www .iso .org/ obp
— IEC Electropedia: available at https:// www .electropedia .org/
3.1
association

feature operation used to fit ideal feature(s) to input feature(s)(non-ideal feature(s)) according to a

criterion
3.2
input feature

non ideal feature, which is an extracted feature or a real feature, which can be filtered or not.

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3.3
associated feature

ideal feature which is fitted to an input feature (non-ideal feature) with a specific association criterion

Note 1 to entry: An ideal feature is defined by a mathematical description of an ideal feature using a finite set of

real numbers called description parameters

Note 2 to entry: An associated feature can be a feature of size. In this case, it is possible to use the term associated

feature of size.

EXAMPLE An extruded surface having as directrix an ellipse, can be described by the formula “a.(x-c) +

2 2

b.(y-d) = R , ∀z” (with a non-equal to b ): It describes for any point (having as coordinate x, y and z, in a local

cartesian coordinate system) of an ideal feature which belongs to the prismatic invariance class (prismatic

surface with an elliptic base, the parameters a and b being non-equal). If the parameter a and b are equal, then

the surface belongs to the cylindrical invariance class.
3.4
restricted associated feature

set of points of an associated feature (3.3), where local geometrical deviations are defined between the

input feature (non-ideal feature) and the associated feature
3.5
(optimizing) association criterion

objective function with or without association constraints, and with or without offset material, defined

for an association
Note 1 to entry: Several association constraints may be used for association.

Note 2 to entry: Association results (associated features) can differ, depending upon the choice of association

criterion.
3.5.1
objective function
optimization function

formula that describes the goal of association from the input feature (non-ideal feature) and the ideal

feature (associated feature)
3.5.1.1
L-function

objective function defined from the set of the signed local geometrical deviations between an input

feature and the associated feature (3.3)

Note 1 to entry: The local geometrical deviations are defined in ISO 17450-4, with the convention sign based on

the material side defined from the ideal geometry.
3.5.1.2
S-function
objective function, based on the size of the associated feature of size

Note 1 to entry: The maximum inscribed feature and the minimum circumscribed feature are associated feature

obtained with S-function.
3.5.2
association constraint

set of restrictions on variability of the mathematical parameters describing an associated feature (3.3)

taken into account in the optimization process.

EXAMPLE Orientation constraint, location constraint, material constraint or size constraint are the different

types of association constraint.
3.5.2.1
orientation constraint

association constraint (3.5.2) on one or more rotational degrees of freedom of associated feature (3.3)

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3.5.2.2
location constraint

association constraint (3.5.2) on one or more translational degrees of freedom of associated feature (3.3)

3.5.2.3
material constraint

association constraint (3.5.2) to the associated feature (3.3), in relation to the material side of the input

feature

EXAMPLE The outside material constraint implies that all distances between the associated feature and the

input feature are positive or equal to zero, i.e. the associated feature is tangent outside of the input feature.

3.5.2.4
size constraint
association constraint (3.5.2) on the size of associated feature (3.3)

Note 1 to entry: Without size constraint, the size of associated feature is variable for the association.

4 Association specification elements description of association process

The association operation is an optimization process, to fit an ideal feature with a predefined geometry

to an input feature (non-ideal feature) or to fit a set of ideal features to predefined geometries to a set of

input features. The input feature for this optimization process is a non-ideal (an extracted feature or a

real feature), which can be filtered or not.
To perform this optimization process, an association objective fu
...