ISO 10303-507:2001

INTERNATIONAL ISO
STANDARD 10303-507
First edition
2001-02-01
Industrial automation systems and
integration — Product data representation
and exchange —
Part 507:
Application interpreted construct:
Geometrically bounded surface
Systèmes d'automation industrielle et intégration — Représentation
et échange de données de produits —
Partie 507: Établissement interprété d'application: Surface limitée
géométriquement
Reference number
©
ISO 2001
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ii © ISO 2001 – All rights reserved

Contents Page
1 Scope . . . . . . . . . 1
2 Normativereferences . . . . . . . . 2
3 Terms,definitions,andabbreviations . . . . . . 3
3.1 Terms defined in ISO 10303–1 . . . . . . 3
3.2 Terms defined in ISO 10303–42 . . . . . . . . 3
3.3 Terms defined in ISO 10303–202 . . . . . . . 4
3.4 Othertermsanddefinitions . . . . . . 4
3.5 Abbreviations . . . . . . . . 4
4 EXPRESSshortlisting . . . . . . . . 4
4.1 Fundamental concepts and assumptions . . . . . 7
4.2 aic_geometrically_bounded_surface schema entity definition: geometrically_bounded_-
surface_shape_representation . . . . . . 7
4.3 aic_geometrically_bounded_surfacefunctiondefinitions . . . . 10
4.3.1 gbsf_check_point . . . . . . . . 10
4.3.2 gbsf_check_curve . . . . . . . 12
4.3.3 gbsf_check_surface . . . . . . 18
Annex A (normative) Short names of entities. . . . . 23
AnnexB(normative) Informationobjectregistration . . . . 24
B.1 Documentidentification . . . . . . . 24
B.2 Schemaidentification . . . . . . . 24
Annex C (informative) EXPRESS-G diagrams . . . . . 25
AnnexD(informative) Computerinterpretablelistings . . . . 44
Index . . . . . . . . . . 45
Figures
Figure C.1 EXPRESS-G diagram 1 of 18 . . . . . . . . 26
Figure C.2 EXPRESS-G diagram 2 of 18 . . . . . . . . 27
Figure C.3 EXPRESS-G diagram 3 of 18 . . . . . . . . 28
Figure C.4 EXPRESS-G diagram 4 of 18 . . . . . . . . 29
Figure C.5 EXPRESS-G diagram 5 of 18 . . . . . . . . 30
Figure C.6 EXPRESS-G diagram 6 of 18 . . . . . . . . 31
Figure C.7 EXPRESS-G diagram 7 of 18 . . . . . . . . 32
Figure C.8 EXPRESS-G diagram 8 of 18 . . . . . . . . 33
Figure C.9 EXPRESS-G diagram 9 of 18 . . . . . . . . 34
Figure C.10 EXPRESS-G diagram 10 of 18 . . . . . . . 35
Figure C.11 EXPRESS-G diagram 11 of 18 . . . . . . . 36
Figure C.12 EXPRESS-G diagram 12 of 18 . . . . . . . 37
Figure C.13 EXPRESS-G diagram 13 of 18 . . . . . . . 38
Figure C.14 EXPRESS-G diagram 14 of 18 . . . . . . . 39
Figure C.15 EXPRESS-G diagram 15 of 18 . . . . . . . 40
Figure C.16 EXPRESS-G diagram 16 of 18 . . . . . . . 41
Figure C.17 EXPRESS-G diagram 17 of 18 . . . . . . . 42
Figure C.18 EXPRESS-G diagram 18 of 18 . . . . . . . 43
Tables
Table A.1 Short names of entities . . . . . . 23
iv © ISO 2001 – All rights reserved

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 3.
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 International Standard may be the subject of
patent rights. ISO shall not be held responsible for identifying any or all such patent rights.
International Standard ISO 10303-507 was prepared by Technical Committee ISO/TC 184 Industrial automation
systems and integration, Subcommittee SC 4, Industrial data.
This International Standard is organized as a series of parts, each published separately. The structure of this
International Standard is described in ISO 10303-1.
Each part of this International Standard is a member of one of the following series: description methods,
implementation methods, conformance testing methodology and framework, integrated generic resources,
integrated application resources, application protocols, abstract test suites, application interpreted constructs, and
application modules. This part is a member of the application interpreted construct series.
A complete list of parts of ISO 10303 is available from the Internet:

Annexes A and B form a normative part of this part of ISO 10303. Annexes C and D are for information only.
Introduction
ISO 10303 is an International Standard for the computer-interpretable representation and exchange of
product data. The objective is to provide a neutral mechanism capable of describing product data
throughout the life cycle of a product independent from any particular system. The nature of this de-
scription makes it suitable not only for neutral file exchange, but also as a basis for implementing and
sharing product databases and archiving.
This International Standard is organized as a series of parts, each published separately. The parts of
ISO 10303 fall into one of the following series: description methods, integrated resources, application
interpreted constructs, application protocols, abstract test suites, implementation methods, and confor-
mance testing. The series are described in ISO 10303–1. This part of ISO 10303 is a member of the
application interpreted constructs series.
An application interpreted construct (AIC) provides a logical grouping of interpreted constructs that
supports a specific functionality for the usage of product data across multiple application contexts. An
interpreted construct is a common interpretation of the integrated resources that supports shared infor-
mation requirements among application protocols.
This document specifies the application interpreted construct for the description of geometric shapes by
means of geometrically bounded surface models. It includes the geometric resources to define purely
geometrically bounded models that consist of elementary and sculptured curves and surfaces.
vi © ISO 2001 – All rights reserved

INTERNATIONAL STANDARD ISO 10303-507:2001(E)
Industrial automation systems and integration —
Product data representation and exchange —
Part 507:
Application interpreted construct:
Geometrically bounded surface
1Scope
This part of ISO 10303 specifies the interpretation of the integrated resources in order to satisfy require-
ments for the representation of geometric shapes by means of geometrically bounded surface models.
The following are within the scope of this part of ISO 10303:
— 3D points;
— points defined in the parameter space of curves or surfaces;
— 3D curves;
— curves defined in the parameter space of surfaces;
NOTE - Such curves are also known as pcurves or cons, which are acronyms for parametrised curve
and curve on surface.
— the elementary curves line, circle, ellipse, parabola, and hyperbola;
— intersection curves;
— polylines that consist of at least three points;
— surfaces;
— the elementary surfaces plane, cylinder, cone, torus, and sphere;
— swept surfaces created by rotation or linear extrusion of a curve;
— sculptured curves and surfaces;
— trimming of curves and surfaces;
— composition of curves and surfaces;
— replication of curves, surfaces, and surface models;
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— 3D offsets of curves and surfaces.
The following are outside the scope of this part of ISO 10303:
— unbounded geometry;
— self-intersecting geometry;
— geometry in a 2D cartesian coordinate space;
— replication of points;
— topological entities.
2 Normative references
The following normative documents contain provisions which, through reference in this text, constitute
provisions of this part of ISO 10303. For dated references, subsequent amendments to, or revisions of,
any of these publications do not apply. However, parties to agreements based on this part of ISO 10303
are encouraged to investigate the possibility of applying the most recent editions of the normative docu-
ments indicated below. For undated references, the latest edition of the normative document referred to
applies. Members of ISO and IEC maintain registers of currently valid International Standards.
ISO/IEC 8824–1:1998, Information technology– Abstract Syntax Notation One (ASN.1): Specification
of basic notation.
ISO 10303–1:1994, Industrial automation systems and integration – Product data representation and
exchange – Part 1 : Overview and fundamental principles.
ISO 10303–11:1994, Industrial automation systems and integration – Product data representation and
exchange – Part 11 : Description methods: The EXPRESS language reference manual.
ISO 10303–41:1994, Industrial automation systems and integration – Product data representation and
exchange – Part 41 : Integrated generic resources: Fundamentals of product description and support.
ISO 10303–42:1994, Industrial automation systems and integration – Product data representation and
exchange – Part 42 : Integrated generic resources: Geometric and topological representation.
ISO 10303–43:1994, Industrial automation systems and integration – Product data representation and
exchange – Part 43 : Integrated generic resources: Representation structures.
ISO 10303–202:1996, Industrial automation systems and integration – Product data representation and
exchange: – Part 202: Application protocol: Associative draughting.
NOTE - ISO 10303-202 is referenced normatively solely for the definition of the term AIC.
2 �c ISO 2001 – All rights reserved

3 Terms, definitions, and abbreviations
3.1 Terms defined in ISO 10303–1
For the purposes of this part of ISO 10303, the following terms defined in ISO 10303-1 apply:
— abstract test suite (ATS);
— application;
— application context;
— application protocol (AP);
— data;
— data exchange;
— generic resource;
— implementation method;
— information;
— integrated resource;
— interpretation;
— model;
— product;
— product data;
— structure.
3.2 Terms defined in ISO 10303–42
For the purposes of this part of ISO 10303, the following terms defined in ISO 10303-42 apply:
— boundary;
— coordinate space;
— curve;
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— dimensionality;
— domain;
— parameter space;
— self-intersect;
— surface.
3.3 Terms defined in ISO 10303–202
For the purposes of this part of ISO 10303, the following terms defined in ISO 10303-202 apply:
3.3.1
application interpreted construct (AIC)
a logical grouping of interpreted constructs that supports a specific function for the usage of product data
across multiple application contexts.
3.4 Other terms and definitions
For the purposes of this part of ISO 10303, the following terms and definitions apply:
3.4.1
geometrically bounded
a description for a geometric shape that uses only values in coordinate space to define its boundaries and
connectivity, and no topological constructs.
3.5 Abbreviations
For the purposes of this part of ISO 10303, the following abbreviations apply:
AIC application interpreted construct
AP application protocol
ATS abstract test suite
4 EXPRESS short listing
This clause specifies the EXPRESS schema that uses elements from the integrated resources and con-
tains the types, entity specializations, and functions that are specific to this part of ISO 10303.
NOTE 1 - There may be subtypes and items of select lists that appear in the integrated resources that are
not imported into the AIC. Constructs are eliminated from the subtype tree or select list through the use of
4 �c ISO 2001 – A
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