ISO 10303-511:2001

INTERNATIONAL ISO
STANDARD 10303-511
First edition
2001-04-15
Industrial automation systems and
integration — Product data representation
and exchange —
Part 511:
Application interpreted construct:
Topologically bounded surface
Systèmes d'automatisation industrielle et intégration — Représentation et
échange de données de produits —
Partie 511: Construction interprétée: Surface délimitée topologiquement
Reference number
©
ISO 2001
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ii © ISO 2001 – All rights reserved

Contents Page
1 Scope . . . . . 1
2 Normativereferences . . . . 2
3 Terms,definitionsandabbreviations . . . . 2
3.1 Terms defined in ISO 10303-1 . . . . 2
3.2 Terms defined in ISO 10303-42 . . . 3
3.3 Terms defined in ISO 10303-202 . . . 3
3.4 Otherdefinitions . . . . 3
3.5 Abbreviations. . . . 4
4 EXPRESSshortlisting . . . . 4
4.1 Fundamental concepts and assumptions . . . 6
4.2 aic topologically bounded surface schema entity definition: advancedface . 8
Annex A (normative) Short names of entities. . . 12
AnnexB(normative) Informationobjectregistration . . . 13
B.1 Documentidentification . . . . 13
B.2 Schemaidentification. . . . 13
AnnexC(informative) Computer-interpretablelistings . . . 14
AnnexD(informative) EXPRESS-Gdiagrams . . . 15
Index . . . . . 24
Figures
Figure D.1 aic topologically boundedsurfaceEXPRESS-Gdiagrampage1of8. . 16
Figure D.2 aic topologically boundedsurfaceEXPRESS-Gdiagrampage2of8. . 17
Figure D.3 aic topologically boundedsurfaceEXPRESS-Gdiagrampage3of8. . 18
Figure D.4 aic topologically boundedsurfaceEXPRESS-Gdiagrampage4of8. . 19
Figure D.5 aic topologically boundedsurfaceEXPRESS-Gdiagrampage5of8. . 20
Figure D.6 aic topologically boundedsurfaceEXPRESS-Gdiagrampage6of8. . 21
Figure D.7 aic topologically boundedsurfaceEXPRESS-Gdiagrampage7of8. . 22
Figure D.8 aic topologically boundedsurfaceEXPRESS-Gdiagrampage8of8. . 23
Tables
Table A.1 Short names of entities . . . . . . 12
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 part of ISO 10303 may be the subject of
patent rights. ISO shall not be held responsible for identifying any or all such patent rights.
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 of this part of ISO 10303. Annexes C and D are for information only.
iv © ISO 2001 – All rights reserved

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 construct 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 topologically bounded surface. This is
the final draft of a 500 series part edition of the AIC for the definition of a face with explicit topology and
fully defined geometry. The face and edge geometry includes both elementary and free-form geometry.
INTERNATIONAL STANDARD ISO 10303-511:2001(E)
Industrial automation systems and integration —
Product data representation and exchange —
Part 511:
Application interpreted construct: Topologically bounded
surface
1Scope
This part of ISO 10303 specifies the interpretation of the itegrated resources to satisfy the requirement
for the definition of a face with explicit topological bounds and fully defined geometry.
The following are within the scope of this part of ISO 10303:
— 3D geometry;
— B-spline curves and surfaces;
— conics;
— elementary curves;
— elementary surfaces;
— polylines;
— pcurves;
— sculptured surfaces;
— surface curves referencing pcurves;
— swept surfaces;
— twisted curves;
— unbounded geometry;
— geometric transformations;
— use of topology to bound geometric entities.
The following are outside the scope of this part of ISO 10303:
— 2D geometry other than for the definition of a pcurve in the parameter space of a surface;
�c ISO 2001 — All rights reserved 1

— bounded curves other than polylines and B-spline curves;
— bounded surfaces other than B-spline surfaces;
— offset curves and surfaces.
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
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.
— application;
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— application context;
— application protocol;
— implementation method;
— integrated resource;
— interpretation;
— product data;
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.
— axi-symmetric;
— boundary;
— bounds;
— coordinate space;
— curve;
— open curve;
— orientable;
— surface;
— topological sense.
3.3 Terms defined in ISO 10303-202
For the purposes of this part of ISO 10303, the following term defined in ISO 10303-202 applies.
3.3.1
application interpreted construct (AIC)
a logical grouping of interpreted constructs that supports a specific functionality for the usage of product
data across multiple application contexts.
3.4 Other definitions
3.4.1
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advanced face
A face defined on a surface. This face is a finite portion of the surface that has its boundaries fully defined
using topological entities with associated geometric curves. The surface geometry is required to be either
an elementary surface, or a swept surface, or a B-spline surface.
3.4.2
sculptured surface
A bi-parametric free-form surface. In this part of ISO 10303 a sculptured surface is represented by a
B-spline surface.
3.4.3
swept surface
A surface obtained by translating or revolving a curve.
3.4.4
twisted curve
A parametric curve in three-dimensional space. In this part of ISO 10303 a twisted curve is represented
by a B-spline curve.
3.5 Abbreviations
For the purposes of this part of ISO 10303, the following abbreviations apply.
AIC Application Interpreted Construct
AP Application Protocol
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 the implicit
interface rules of ISO 10303-11. References to eliminated constructs are outside the scope of the AIC. In some
cases, all items of the select list are eliminated. Because AICs are intended to be implemented in the context of an
application protocol, the items of the select list will be defined by the scope of the application protocol.
This application interpreted construct provides a consistent set of geometric and topological entities
for the definition of a face with fully defined geometry and explicit topology defining the boundaries.
The permissible types of face geometry include elementary surfaces and B-spline surfaces. Edges are
required to have their geometry defined by curves, that may include pcurves.
The highest level entity in this AIC is advanced face which is a specialised type of face surface (see
ISO 10303-42). The rules on this entity ensure that the topology and geometry are fully defined.
4 �c ISO 2001 — All rights reserved

EXPRESS specification:
*)
SCHEMA aic_topologically_bounded_surface;
USE FROM geometry_schema
(axis2_placement_2d,
axis2_placement_3d,
bezier_curve,
bezier_surface,
b_spline_curve_with_knots,
b_spline_surface_with_knots,
cartesian_point,
circle,
composite_curve_on_surface,
conical_surface,
cylindrical_surface,
degenerate_toroidal_surface,
direction,
ellipse,
geometric_representation_context,
hyperbola,
line,
parabola,
pcurve,
plane,
polyline,
quasi_uniform_curve,
quasi_uniform_surface,
rational_b_spline_curve,
rational_b_spline_surface,
spherical_surface,
surface_curve,
surface_of_linear_e
...