SIST-TS CEN ISO/TS 17450-1:2008

Geometrical product specifications (GPS) - General concepts - Part 1: Model for geometrical specification and verification (ISO/TS 17450-1:2005)

This part of ISO/TS 17450 provides a model for geometrical specification and verification and defines the corresponding concepts. It also explains the mathematical basis of the concepts associated with the model.

Geometrische Produktspezifikation (GPS) - Grundlagen - Teil 1: Modell für die geometrische Spezifikation und Prüfung (ISO/TS 17450-1:2005)

Dieser Teil von ISO/TS 17450 stellt ein Modell für die geometrische Produktspezifikation und prüfung zur Verfügung und legt die entsprechenden Begriffe fest.

Spécification géométrique des produits (GPS) - Concepts généraux - Partie 1: Modele pour la spécification et la vérification géométriques (ISO/TS 17450-1:2005)

L'ISO/TS 17450-1:2005 propose un modèle pour la spécification et la vérification géométriques, et elle définit les concepts correspondants. Elle fournit également une explication des bases mathématiques de ces concepts.

Specifikacija geometrijskih veličin izdelka - Osnove - 1. del: Model za geometrijsko specifikacijo in preskušanje (ISO/TS 17450-1:2005)

General Information

• Status: Withdrawn
• Publication Date: 10-Mar-2008
• Withdrawal Date: 11-Jan-2012
• ICS: 17.040.40 - Geometrical Product Specification (GPS)
• Technical Committee: ISEL - Mechanical elements
• Current Stage: 9900 - Withdrawal (Adopted Project)
• Start Date: 10-Jan-2012
• Due Date: 02-Feb-2012
• Completion Date: 12-Jan-2012
• Ref Project: CEN ISO/TS 17450-1:2007 - Geometrical product specifications (GPS) - General concepts - Part 1: Model for geometrical specification and verification (ISO/TS 17450-1:2005)

Relations

• Replaced By: SIST EN ISO 17450-1:2012 - Geometrical product specifications (GPS) - General concepts - Part 1: Model for geometrical specification and verification (ISO 17450-1:2011)
• Effective Date: 01-Mar-2012
• Corrected By: SIST-TS CEN ISO/TS 17450-1:2008/AC:2008 - Geometrical product specifications (GPS) - General concepts - Part 1: Model for geometrical specification and verification (ISO/TS 17450-1:2005/Cor 1:2007)
• Effective Date: 08-Jun-2022
• Corrected By: SIST-TS CEN ISO/TS 17450-1:2008/AC:2008 - Geometrical product specifications (GPS) - General concepts - Part 1: Model for geometrical specification and verification (ISO/TS 17450-1:2005/Cor 1:2007)
• Effective Date: 01-Jul-2008

Standards Content (Sample)

SLOVENSKI STANDARD
SIST-TS CEN ISO/TS 17450-1:2008
01-april-2008
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND2VQRYHGHO0RGHO]DJHRPHWULMVNR
VSHFLILNDFLMRLQSUHVNXãDQMH,6276
Geometrical product specifications (GPS) - General concepts - Part 1: Model for
geometrical specification and verification (ISO/TS 17450-1:2005)
Geometrische Produktspezifikation (GPS) - Grundlagen - Teil 1: Modell für die
geometrische Spezifikation und Prüfung (ISO/TS 17450-1:2005)
Spécification géométrique des produits (GPS) - Concepts généraux - Partie 1: Modele
pour la spécification et la vérification géométriques (ISO/TS 17450-1:2005)
Ta slovenski standard je istoveten z: CEN ISO/TS 17450-1:2007
ICS:
17.040.01 Linearne in kotne meritve na Linear and angular
splošno measurements in general
SIST-TS CEN ISO/TS 17450-1:2008 en,fr
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST-TS CEN ISO/TS 17450-1:2008

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SIST-TS CEN ISO/TS 17450-1:2008
TECHNICAL SPECIFICATION
CEN ISO/TS 17450-1
SPÉCIFICATION TECHNIQUE
TECHNISCHE SPEZIFIKATION
December 2007
ICS 17.040.01

English Version
Geometrical product specifications (GPS) - General concepts -
Part 1: Model for geometrical specification and verification
(ISO/TS 17450-1:2005)
Spécification géométrique des produits (GPS) - Concepts Geometrische Produktspezifikation (GPS) - Grundlagen -
généraux - Partie 1: Modèle pour la spécification et la Teil 1: Modell für die geometrische Spezifikation und
vérification géométriques (ISO/TS 17450-1:2005) Prüfung (ISO/TS 17450-1:2005)
This Technical Specification (CEN/TS) was approved by CEN on 8 October 2007 for provisional application.
The period of validity of this CEN/TS is limited initially to three years. After two years the members of CEN will be requested to submit their
comments, particularly on the question whether the CEN/TS can be converted into a European Standard.
CEN members are required to announce the existence of this CEN/TS in the same way as for an EN and to make the CEN/TS available
promptly at national level in an appropriate form. It is permissible to keep conflicting national standards in force (in parallel to the CEN/TS)
until the final decision about the possible conversion of the CEN/TS into an EN is reached.
CEN members are the national standards bodies of Austria, Belgium, Bulgaria, 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: rue de Stassart, 36  B-1050 Brussels
© 2007 CEN All rights of exploitation in any form and by any means reserved Ref. No. CEN ISO/TS 17450-1:2007: E
worldwide for CEN national Members.

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SIST-TS CEN ISO/TS 17450-1:2008
CEN ISO/TS 17450-1:2007 (E)
Contents Page
Foreword.3

2

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SIST-TS CEN ISO/TS 17450-1:2008
CEN ISO/TS 17450-1:2007 (E)
Foreword
The text of ISO/TS 17450-1:2005 has been prepared by Technical Committee ISO/TC 213 “Dimensional and
geometrical product specifications and verification” of the International Organization for Standardization (ISO)
and has been taken over as CEN ISO/TS 17450-1:2007 by Technical Committee CEN/TC 290 “Dimensional
and geometrical product specification and verification” the secretariat of which is held by AFNOR.
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 announce this Technical Specification: Austria, Belgium, Bulgaria, 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/TS 17450-1:2005 has been approved by CEN as a CEN ISO/TS 17450-1:2007 without any
modification.

3

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SIST-TS CEN ISO/TS 17450-1:2008

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SIST-TS CEN ISO/TS 17450-1:2008


TECHNICAL ISO/TS
SPECIFICATION 17450-1
First edition
2005-02-01

Geometrical product specifications
(GPS) — General concepts —
Part 1:
Model for geometrical specification and
verification
Spécification géométrique des produits (GPS) — Concepts généraux —
Partie 1: Modèle pour la spécification et la vérification géométriques




Reference number
ISOTS 17450-1:2005(E)
©
ISO 2005

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SIST-TS CEN ISO/TS 17450-1:2008
ISO/TS 17450-1:2005(E)
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©  ISO 2005
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
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Published in Switzerland

ii © ISO 2005 – All rights reserved

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SIST-TS CEN ISO/TS 17450-1:2008
ISO/TS 17450-1:2005(E)
Contents Page
Foreword . iv
Introduction. v
1 Scope. 1
2 Normative references. 1
3 Terms and definitions. 1
4 Application and future prospects. 5
5 General. 5
6 Features. 7
6.1 General. 7
6.2 Ideal features. 7
6.3 Non-ideal features. 9
7 Characteristics. 9
7.1 General. 9
7.2 Intrinsic characteristics of ideal features . 9
7.3 Situation characteristics between ideal features. 10
7.4 Situation characteristics between non-ideal and ideal features . 11
8 Operations. 12
8.1 Feature operations. 12
8.2 Evaluation. 16
9 Specification. 16
9.1 General. 16
9.2 Specification by dimension. 16
9.3 Specification by zone. 17
9.4 Deviation. 18
10 Verification. 18
Annex A (informative) Examples of application to ISO 1101. 20
Annex B (informative) Mathematical symbols and definitions . 33
Annex C (informative) Comparison between tolerancing and metrology. 45
Annex D (informative) Concept diagram for characteristics. 47
Annex E (informative) Relationship to the GPS matrix model . 48
Bibliography. 49

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SIST-TS CEN ISO/TS 17450-1:2008
ISO/TS 17450-1:2005(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.
In other circumstances, particularly when there is an urgent market requirement for such documents, a technical
committee may decide to publish other types of normative document:
— an ISO Publicly Available Specification (ISO/PAS) represents an agreement between technical experts in an
ISO working group and is accepted for publication if it is approved by more than 50 % of the members of the
parent committee casting a vote;
— an ISO Technical Specification (ISO/TS) represents an agreement between the members of a technical
committee and is accepted for publication if it is approved by 2/3 of the members of the committee casting a
vote.
An ISO/PAS or ISO/TS is reviewed after three years in order to decide whether it will be confirmed for a further
three years, revised to become an International Standard, or withdrawn. If the ISO/PAS or ISO/TS is confirmed, it is
reviewed again after a further three years, at which time it must either be transformed into an International
Standard or be withdrawn.
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/TS 17450-1 was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification.
ISO/TS 17450 consists of the following parts, under the general title Geometrical product specifications (GPS) —
General concepts:
 Part 1: Model for geometrical specification and verification
 Part 2: Basic tenets, specifications, operators and uncertainties

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SIST-TS CEN ISO/TS 17450-1:2008
ISO/TS 17450-1:2005(E)
Introduction
This part of ISO/TS 17450 is a Geometrical Product Specification (GPS) document and is to be regarded as a
global GPS document (see ISO/TR 14638). It influences all chain links of the chains of standards.
For more detailed information on the relationship of this part of ISO/TS 17450 to other standards and to the GPS
matrix model, see annex E.
In a market environment of increased globalization, the exchange of technical product information is of high
importance and the need to express unambiguously the geometry of mechanical workpieces of vital urgency.
Consequently, codification associated with the macro- and micro-geometry of workpiece specifications must be
unambiguous and complete if the functional geometrical variation of parts is to be limited; in addition, the language
ought to be applicable to CAX systems.
The aim of ISO/TC 213 is to provide the tools for a global and “top-down” approach to GPS. These tools are the
basis of new standards for a common language for geometrical definition, able to be used by design (assemblies
and individual workpieces), manufacturing and inspection, including for description of the measurement procedure,
regardless of the media (e.g. paper drawing, numerical drawing or exchange file) used. These tools are based on
the characteristics of features, as well as on the constraints between the features and on feature operations, used
for the creation of different geometrical features.
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SIST-TS CEN ISO/TS 17450-1:2008
TECHNICAL SPECIFICATION ISO/TS 17450-1:2005(E)

Geometrical product specifications (GPS) — General concepts —
Part 1:
Model for geometrical specification and verification
1 Scope
This part of ISO/TS 17450 provides a model for geometrical specification and verification and defines the
corresponding concepts. It also explains the mathematical basis of the concepts associated with the model.
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
International Vocabulary of Basic and General Terms in Metrology (VIM). BIPM, IFCC, IEC, ISO, IUPAC, IUPAP,
OIML, 2nd edition, 1993
3 Terms and definitions
For the purposes of the present document, the terms and definitions given in ISO 14660-1 and VIM, and the
following apply.
3.1
associated feature
ideal feature established from a non-ideal surface model (skin model) or from a real surface through an association
operation
NOTE The relationship between this term and ISO 14660-1 is given in Figure 1.

Figure 1 — Relationships of the term associated feature
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ISO/TS 17450-1:2005(E)
3.2
association
operation used to fit ideal feature(s) to non-ideal feature(s) according to a criterion
NOTE See 8.1.5.
3.3
bounded feature
feature contained within a sphere of finite radius
3.4
characteristic
single property of one or more feature(s) expressed in linear or angular units
NOTE See annex D.
3.5
collection
operation used to identify more than one feature together, in accordance with the function of the workpiece
NOTE See 8.1.6.
3.6
construction
operation used to build ideal feature(s) from other ideal features, within constraints
NOTE See 8.1.7.
3.7
deviation
difference between the value of a characteristic obtained from the non-ideal surface model (skin model) and the
corresponding nominal value
3.8
evaluation
operation used to identify either the value of a characteristic, or its nominal value and its limit(s)
NOTE See 8.2.
3.9
extraction
operation used to identify specific points from a non-ideal feature
NOTE See 8.1.3.
3.10
feature
geometric feature
point, line or surface
[ISO 14660-1]
3.11
feature operation
specific tool required for obtaining features
3.12
filtration
operation used to create a non-ideal feature by reducing the level of information of a non-ideal feature
NOTE See 8.1.4.
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ISO/TS 17450-1:2005(E)
3.13
ideal feature
feature defined by a parametrized equation
NOTE The expression of the parametrized equation depends on the type of ideal feature and on the intrinsic
characteristics.
3.14
intrinsic characteristic
characteristic of an ideal feature
NOTE 1 See 7.2.
NOTE 2 Ideal features have only dimensional characteristics as intrinsic characteristics.
NOTE 3 The intrinsic characteristics are the parameters of the parametrized equation of the ideal feature.
3.15
invariance class
a group of ideal features defined by the same invariance degree
3.16
invariance degree of an ideal feature
displacement(s) of the ideal feature for which the feature is kept identical in the space
NOTE It corresponds to the degree of freedom used in kinematics.
3.17
nominal feature
ideal feature independent of the non-ideal surface model (skin model)
NOTE The relationship between this term and ISO 14660-1 is given in Figure 2.

Figure 2 — Relationships of the term nominal feature
3.18
nominal model
model of the workpiece of perfect shape defined by the designer (design intent)
3.19
non-ideal feature
imperfect feature fully dependent on the non-ideal surface model (skin model)
3.20
operation
specific tool required to obtain features or values of characteristics, their nominal value and their limit(s)
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ISO/TS 17450-1:2005(E)
3.21
partition
operation used to identify bounded feature(s) from non-ideal feature(s) or from ideal feature(s)
NOTE See 8.1.2
3.22
real surface of a workpiece
set of features which physically exist and separate the entire workpiece from the surrounding medium
[ISO 14660-1]
3.23
situation characteristic
characteristic defining the relative location or orientation between two features
3.24
situation characteristic between ideal features
characteristic defining the relative location or orientation between two situation features
3.25
situation characteristic between non-ideal and ideal features
characteristic defining the relative location between a non-ideal feature and an ideal feature
3.26
situation feature
feature of type point, straight line, plane or helix, which allows the location and/or orientation of a feature to be
defined
3.27
non-ideal surface model (of a workpiece)
skin model (of a workpiece)
model of the physical interface of the workpiece with its environment
NOTE See clause 5.
3.28
specification
expression of permissible limits on a characteristic
3.29
specification by dimension
specification that limits the permissible value of an intrinsic characteristic or of a situation characteristic between
ideal features
3.30
specification by zone
specification that limits the permissible variation of a non-ideal feature inside a space limited by an ideal feature or
by ideal features
3.31
type (of ideal feature)
name given for a set of shapes of an ideal feature
NOTE 1 See Tables 2 and 3.
NOTE 2 From a type of ideal feature, a particular feature can be defined by giving value(s) to intrinsic characteristic(s).
NOTE 3 The type defines the parametrized equation of the ideal feature.
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SIST-TS CEN ISO/TS 17450-1:2008
ISO/TS 17450-1:2005(E)
3.32
unbounded feature
feature that cannot be contained within a sphere of finite radius
3.33
variation
phenomenon whereby the value of a characteristic is not constant within one individual feature or within a set of
workpieces
4 Application and future prospects
4.1 The model proposed in this part of ISO/TS 17450 is aimed at
a) expressing the fundamental concepts on which the geometrical specification of workpieces can be based, with
a global approach including all the geometrical tools (e.g. operations) needed in GPS, and
b) providing a mathematization of the concepts (see annex B), in order to facilitate standardization inputs to
 software designers for CAD-systems,
 software designers for computing algorithms in metrology, and
 standards makers on STEP (computerized exchange of product data between CAD-systems).
4.2 This part of ISO/TS 17450 is not intended to be used directly as a standard way to specify the geometry of a
workpiece, but should serve as a basis for revising and completing the existing standards according to a unified
and systematic approach, in order to
a) provide a non-ambiguous GPS language, to be used and understood by people involved in design,
manufacturing and inspection, and
b) identify correctly features, characteristics, and rules, thereby providing the capacity to
 propose default definitions, for example, definition of a least square surface,
 propose rules for expressing non-default definitions (special definitions),
 propose a simplified symbology,
 develop consistent rules for deviation assessment and measurement methods — the proposed tools allow
the definition, without any ambiguity, of the quantity to be evaluated for each characteristic and also allow
the explicit description of the measurement sequence — and
 use statistical tools — as each characteristic is defined without any ambiguity, it is possible to consider it
as deterministic or statistical (e.g. statistical process control or statistical tolerance functional analysis).
5 General
The geometrical specification is the design step where the field of permissible deviations of a set of characteristics
of a workpiece is stated, accommodating the required functional performance of the workpiece (functional need). It
will also define a level of quality in conformance with manufacturing processes, the limits permissible for
manufacturing, and the definition of the conformity of the workpiece (see Figure 3).

Figure 3 — Relationship between functional needs and geometrical specification
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SIST-TS CEN ISO/TS 17450-1:2008
ISO/TS 17450-1:2005(E)
The designer first defines a “workpiece” of perfect form with shape and dimensions that fit the functions of the
mechanism. This “workpiece” of perfect form is called the nominal model (see Figure 4).
This first step establishes a representation of the workpiece with only nominal values that is impossible to produce
or inspect (each manufacturing or measuring process has its own variability or uncertainty).
The real surface of the workpiece, which is the physical interface of the workpiece with its environment, is imperfect
geometry; it is impossible to completely capture the dimensional variation of the real surface of the workpiece in
order to completely understand the complete extent of all variation.
From the nominal geometry, the designer imagines a model of this real surface, which represents the variations
that could be expected on the real surface of the workpiece. This model representing the imperfect geometry of the
workpiece is called the non-ideal surface model (skin model) (see Figure 5).
The non-ideal surface model (skin model) is used to simulate variations of the surface at a conceptual level. On this
model the designer will be able to optimize the maximum permissible limit values for which the function is
downgraded but still ensured. These maximum permissible limit values define the tolerances of each characteristic
of the workpiece.
NOTE This document does not include a methodology to evaluate how close the geometrical specification is to the
functional specifications.

Figure 4 — Nominal model Figure 5 — Non-ideal surface model
(skin model)
Verification is the manufacturing step at which a metrologist determines whether the real surface of a workpiece
conforms to the field of permissible deviations that have been specified.
The definition of this geometrical deviation will be used to adjust the manufacturing process.
The metrologist begins by reading the specification, taking into account the non-ideal surface model (skin model),
in order to know the specified characteristics. From the real surface of the workpiece, the metrologist defines the
individual steps of the verification plan, depending on the measuring equipment.
Conformance is then determined by comparing the specified characteristics with the result of measurement (see
Figure 6).

Figure 6 — Relationship between geometrical specification and result of measurement
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SIST-TS CEN ISO/TS 17450-1:2008
ISO/TS 17450-1:2005(E)
6 Features
6.1 General
According to the definition of a feature, its nature is point, line or surface.
Two kinds of features can be distinguished:
a) ideal features (see 6.2);
b) non-ideal features (see 6.3).
6.2 Ideal features
6.2.1 Ideal features are defined by their type and by their intrinsic characteristics.
A feature is generally called by its type, for example, straight line, plane, cylinder, cone, sphere or torus.
Characteristics are defined in clause 7. A characteristic is, for example, the diameter of a cylinder, a distance
between a plane and the centre point of a sphere, or the angle between the axis of a cylinder and a plane.
6.2.2 Ideal features used to define the nominal model are called nominal features. They are independent of the
non-ideal surface model (skin model).
Ideal features, the characteristics of which are dependent on the non-ideal surface model (skin model), are called
associated features.
For instance, the nominal model shown in Figure 7 is built with several ideal features of types plane and cylinder.
The location and orientation between the features are given by situation characteristics, and the diameters of the
cylinders are given by intrinsic characteristics (see clause 7).

Figure 7 — Building the nominal model
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SIST-TS CEN ISO/TS 17450-1:2008
ISO/TS 17450-1:2005(E)
6.2.3 Ideal features can be unbounded or bounded by ideal boundaries (e.g. nominal features are bounded,
associated features are bounded or unbounded).
6.2.4 All ideal features belong to one of the seven invariance classes d
...