ISO 10303-508:2001

INTERNATIONAL ISO
STANDARD 10303-508
First edition
2001-04-15
Industrial automation systems and
integration — Product data representation
and exchange —
Part 508:
Application interpreted construct:
Non-manifold surface
Systèmes d'automation industrielle et intégration — Représentation
et échange de données de produits —
Partie 508: Établissement interprété d'application: Surface non manifold
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 . . . . . . . . 4
3.3 Terms defined in ISO 10303–202 . . . . . . . 4
3.4 Terms defined in ISO 10303–511 . . . . . . . 4
3.5 Othertermsanddefinitions . . . . . . 5
3.6 Abbreviations . . . . . . . . 5
4 EXPRESSshortlisting . . . . . . . . 5
4.1 Fundamental concepts and assumptions . . . . . 7
4.2 aic_non_manifold_surface schema entity definition: non_manifold_surface_shape_re-
presentation . . . . . . . . . . 7
4.3 aic_non_manifold_surface function definitions . . . . 14
4.3.1 nmsf_curve_check . . . . . . . 14
4.3.2 nmsf_surface_check . . . . . . 19
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 . . . . 49
Index . . . . . . . . . . 50
Figures
Figure C.1 EXPRESS-G diagram 1 of 22 . . . . . . . . 27
Figure C.2 EXPRESS-G diagram 2 of 22 . . . . . . . . 28
Figure C.3 EXPRESS-G diagram 3 of 22 . . . . . . . . 29
Figure C.4 EXPRESS-G diagram 4 of 22 . . . . . . . . 30
Figure C.5 EXPRESS-G diagram 5 of 22 . . . . . . . . 31
Figure C.6 EXPRESS-G diagram 6 of 22 . . . . . . . . 32
Figure C.7 EXPRESS-G diagram 7 of 22 . . . . . . . . 33
Figure C.8 EXPRESS-G diagram 8 of 22 . . . . . . . . 34
Figure C.9 EXPRESS-G diagram 9 of 22 . . . . . . . . 35
Figure C.10 EXPRESS-G diagram 10 of 22 . . . . . . . 36
Figure C.11 EXPRESS-G diagram 11 of 22 . . . . . . . 37
Figure C.12 EXPRESS-G diagram 12 of 22 . . . . . . . 38
Figure C.13 EXPRESS-G diagram 13 of 22 . . . . . . . 39
Figure C.14 EXPRESS-G diagram 14 of 22 . . . . . . . 40
Figure C.15 EXPRESS-G diagram 15 of 22 . . . . . . . 41
Figure C.16 EXPRESS-G diagram 16 of 22 . . . . . . . 42
Figure C.17 EXPRESS-G diagram 17 of 22 . . . . . . . 43
Figure C.18 EXPRESS-G diagram 18 of 22 . . . . . . . 44
Figure C.19 EXPRESS-G diagram 19 of 22 . . . . . . . 45
Figure C.20 EXPRESS-G diagram 20 of 22 . . . . . . . 46
Figure C.21 EXPRESS-G diagram 21 of 22 . . . . . . . 47
Figure C.22 EXPRESS-G diagram 22 of 22 . . . . . . . 48
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 10303-508 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 non-manifold surface models. It includes the geometric and topological resources to define
non-manifolds that may consist of elementary and sculptured curves and surfaces.
vi © ISO 2001 – All rights reserved

INTERNATIONAL STANDARD ISO 10303-508:2001(E)
Industrial automation systems and integration —
Product data representation and exchange —
Part 508:
Application interpreted construct:
Non-manifold surface
1Scope
This part of ISO 10303 specifies the interpretation of the integrated resources to satisfy requirements for
the description of geometric shapes by means of non-manifold 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 curve types line, circle, ellipse, parabola, and hyperbola;
— intersection curves;
— polylines that consist of at least three points;
— the elementary surface types 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 using topological entities;
— composition of curves and surfaces using topological entities;
— replication of curves, surfaces, and surface models;
— 3D offsets of curves and surfaces;
c
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— non-manifolds.
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;
— topology without an association to a corresponding geometric domain.
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 Onw (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.
ISO 10303–511:2001, Industrial automation systems and integration – Product data representation and
exchange – Part 511 : Application interpreted construct: Topologically bounded surface.
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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.
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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;
— boundary representation solid model;
— connected;
— coordinate space;
— curve;
— 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 Terms defined in ISO 10303–511
For the purposes of this part of ISO 10303, the following terms defined in ISO 10303-511 apply:
— advanced face;
— sculptured surface;
— swept surface.
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3.5 Other terms and definitions
...