Geographic information - Spatial schema (ISO 19107:2003)

ISO 19107:2003 specifies conceptual schemas for describing the spatial characteristics of geographic features, and a set of spatial operations consistent with these schemas. It treats vector geometry and topology up to three dimensions. It defines standard spatial operations for use in access, query, management, processing, and data exchange of geographic information for spatial (geometric and topological) objects of up to three topological dimensions embedded in coordinate spaces of up to three axes.

Geoinformation - Raumbezugsschema

Information géographique - Schéma spatial (ISO 19107:2003)

Geografske informacije - Prostorska shema (ISO 19107:2003)

General Information

Status
Withdrawn
Publication Date
31-Mar-2005
Withdrawal Date
16-Jan-2020
Technical Committee
Current Stage
9900 - Withdrawal (Adopted Project)
Start Date
17-Jan-2020
Due Date
09-Feb-2020
Completion Date
17-Jan-2020

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SLOVENSKI STANDARD
SIST EN ISO 19107:2005
01-april-2005
Geografske informacije - Prostorska shema (ISO 19107:2003)
Geographic information - Spatial schema (ISO 19107:2003)
Geoinformation - Raumbezugsschema
Information géographique - Schéma spatial (ISO 19107:2003)
Ta slovenski standard je istoveten z: EN ISO 19107:2005
ICS:
07.040 Astronomija. Geodezija. Astronomy. Geodesy.
Geografija Geography
35.240.70 Uporabniške rešitve IT v IT applications in science
znanosti
SIST EN ISO 19107:2005 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST EN ISO 19107:2005

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SIST EN ISO 19107:2005
EUROPEAN STANDARD
EN ISO 19107
NORME EUROPÉENNE
EUROPÄISCHE NORM
January 2005
ICS 35.240.70
English version
Geographic information - Spatial schema (ISO 19107:2003)
Information géographique - Schéma spatial (ISO Geoinformation - Raumbezugsschema
19107:2003)
This European Standard was approved by CEN on 24 December 2004.
CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European
Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such national
standards may be obtained on application to the Central Secretariat or to any CEN member.
This European Standard exists in three official versions (English, French, German). A version in any other language made by translation
under the responsibility of a CEN member into its own language and notified to the Central Secretariat has the same status as the official
versions.
CEN members are the national standards bodies of Austria, Belgium, Cyprus, Czech Republic, Denmark, Estonia, Finland, France,
Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, 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
© 2005 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 19107:2005: E
worldwide for CEN national Members.

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SIST EN ISO 19107:2005
EN ISO 19107:2005 (E)






Foreword



The text of ISO 19107:2003 has been prepared by Technical Committee ISO/TC 211
"Geographic information/Geomatics” of the International Organization for Standardization (ISO)
and has been taken over as EN ISO 19107:2005 by Technical Committee CEN/TC 287
"Geographic Information", the secretariat of which is held by NEN.

This European Standard shall be given the status of a national standard, either by publication of
an identical text or by endorsement, at the latest by July 2005, and conflicting national standards
shall be withdrawn at the latest by July 2005.

According to the CEN/CENELEC Internal Regulations, the national standards organizations of
the following countries are bound to implement this European Standard: Austria, Belgium,
Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary,
Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland,
Portugal, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.



Endorsement notice

The text of ISO 19107:2003 has been approved by CEN as EN ISO 19107:2005 without any
modifications.

2

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SIST EN ISO 19107:2005

INTERNATIONAL ISO
STANDARD 19107
First edition
2003-05-01

Geographic information — Spatial
schema
Information géographique — Schéma spatial




Reference number
ISO 19107:2003(E)
©
ISO 2003

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SIST EN ISO 19107:2005
ISO 19107:2003(E)
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©  ISO 2003
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
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ii © ISO 2003 — All rights reserved

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SIST EN ISO 19107:2005
ISO 19107:2003(E)
Contents Page
Foreword. viii
Introduction . ix
1 Scope. 1
2 Conformance . 1
2.1 Overview . 1
2.2 Conformance classes. 3
3 Normative references . 4
4 Terms and definitions. 4
5 Symbols, notation and abbreviated terms . 14
5.1 Presentation and notation. 14
5.1.1 Unified Modeling Language (UML) concepts. 14
5.1.2 Attributes, operations, and associations . 14
5.1.3 Stereotypes. 17
5.1.4 Data types and collection types . 18
5.1.5 Strong substitutability. 19
5.2 Organization . 20
5.3 Abbreviated terms. 22
6 Geometry packages . 22
6.1 Semantics . 22
6.2 Geometry root package. 24
6.2.1 Semantics . 24
6.2.2 GM_Object . 25
6.3 Geometric primitive package. 32
6.3.1 Semantics . 32
6.3.2 GM_Boundary. 33
6.3.3 GM_ComplexBoundary . 34
6.3.4 GM_PrimitiveBoundary . 34
6.3.5 GM_CurveBoundary . 34
6.3.6 GM_Ring. 34
6.3.7 GM_SurfaceBoundary . 34
6.3.8 GM_Shell. 35
6.3.9 GM_SolidBoundary. 35
6.3.10 GM_Primitive . 35
6.3.11 GM_Point. 38
6.3.12 Bearing. 39
6.3.13 GM_OrientablePrimitive . 40
6.3.14 GM_OrientableCurve . 42
6.3.15 GM_OrientableSurface . 42
6.3.16 GM_Curve . 43
6.3.17 GM_Surface . 44
6.3.18 GM_Solid. 46
6.4 Coordinate geometry package . 47
6.4.1 DirectPosition. 47
6.4.2 GM_PointRef. 48
6.4.3 GM_Envelope . 48
6.4.4 TransfiniteSet . 49
6.4.5 GM_Position . 49
6.4.6 GM_PointArray, GMPointGrid. 49
6.4.7 GM_GenericCurve. 49
6.4.8 GM_CurveInterpolation . 53
© ISO 2003 — All rights reserved iii

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SIST EN ISO 19107:2005
ISO 19107:2003(E)
6.4.9 GM_CurveSegment .54
6.4.10 GM_LineString.55
6.4.11 GM_LineSegment .56
6.4.12 GM_GeodesicString .57
6.4.13 GM_Geodesic.58
6.4.14 GM_ArcString .58
6.4.15 GM_Arc.60
6.4.16 GM_Circle.62
6.4.17 GM_ArcStringByBulge.62
6.4.18 GM_ArcByBulge .63
6.4.19 GM_Conic.64
6.4.20 GM_Placement.66
6.4.21 GM_AffinePlacement .67
6.4.22 GM_Clothoid .67
6.4.23 GM_OffsetCurve .68
6.4.24 GM_Knot.70
6.4.25 GM_KnotType .71
6.4.26 GM_SplineCurve.71
6.4.27 GM_PolynomialSpline.71
6.4.28 GM_CubicSpline.72
6.4.29 GM_SplineCurveForm.73
6.4.30 GM_BSplineCurve .73
6.4.31 GM_Bezier .74
6.4.32 GM_SurfaceInterpolation.75
6.4.33 GM_GenericSurface .75
6.4.34 GM_SurfacePatch.77
6.4.35 GM_PolyhedralSurface .78
6.4.36 GM_Polygon.78
6.4.37 GM_TriangulatedSurface.80
6.4.38 GM_Triangle.80
6.4.39 GM_Tin .81
6.4.40 GM_ParametricCurveSurface.82
6.4.41 GM_GriddedSurface.85
6.4.42 GM_Cone.86
6.4.43 GM_Cylinder .86
6.4.44 GM_Sphere.86
6.4.45 GM_BilinearGrid .87
6.4.46 GM_BicubicGrid .87
6.4.47 GM_BSplineSurfaceForm .87
6.4.48 GM_BSplineSurface .88
6.5 Geometric aggregate package.89
6.5.7 Semantics.89
6.5.8 GM_Aggregate.89
6.5.9 GM_MultiPrimitive .89
6.5.10 GM_MultiPoint .90
6.5.11 GM_MultiCurve .91
6.5.12 GM_MultiSurface .91
6.5.13 GM_MultiSolid.91
6.6 Geometric complex package.92
6.6.7 Semantics.92
6.6.8 GM_Complex.93
6.6.9 GM_Composite .94
6.6.10 GM_CompositePoint .95
6.6.11 GM_CompositeCurve.96
6.6.12 GM_CompositeSurface.97
6.6.13 GM_CompositeSolid .97
7 Topology packages.98
7.4 Semantics.98
7.5 Topology root package.100
iv © ISO 2003 — All rights reserved

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SIST EN ISO 19107:2005
ISO 19107:2003(E)
7.5.1 Semantics . 100
7.5.2 TP_Object. 101
7.6 Topological primitive package . 105
7.6.1 Semantics . 105
7.6.2 TP_Boundary. 105
7.6.3 TP_ComplexBoundary. 105
7.6.4 TP_PrimitiveBoundary. 105
7.6.5 TP_EdgeBoundary . 106
7.6.6 TP_FaceBoundary. 107
7.6.7 TP_SolidBoundary . 107
7.6.8 TP_Ring. 107
7.6.9 TP_Shell . 107
7.6.10 TP_Primitive . 108
7.6.11 TP_DirectedTopo . 109
7.6.12 TP_Node. 112
7.6.13 TP_DirectedNode . 113
7.6.14 TP_Edge. 114
7.6.15 TP_DirectedEdge . 115
7.6.16 TP_Face. 115
7.6.17 TP_DirectedFace . 117
7.6.18 TP_Solid. 117
7.6.19 TP_DirectedSolid . 118
7.6.20 TP_Expression . 118
7.7 Topological complex package. 121
7.7.1 Semantics . 121
7.7.2 TP_Complex . 121
8 Derived topological relations. 123
8.1 Introduction . 123
8.2 Boolean or set operators. 124
8.2.1 Form of the Boolean operators . 124
8.2.2 Boolean Relate . 124
8.2.3 Relation to set operations. 125
8.3 Egenhofer operators. 125
8.3.1 Form of the Egenhofer operators. 125
8.3.2 Egenhofer relate. 125
8.3.3 Relation to set operations. 126
8.4 Full topological operators. 126
8.4.1 Form of the full topological operators . 126
8.4.2 Full topological relate . 126
8.5 Combinations . 126
Annex A (normative) Abstract test suite. 127
A.1 Geometric primitives . 127
A.2 Geometric complexes. 130
A.3 Topological complexes . 132
A.4 Topological complexes with geometric realization. 134
A.5 Boolean operators . 136
Annex B (informative) Conceptual organization of terms and definitions . 138
B.1 Introduction .
...

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