SIST ISO 19107:2003

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

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SIST ISO 19107:2003

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SIST ISO 19107:2003

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

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SIST ISO 19107:2003
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 ISO 19107:2003
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
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SIST ISO 19107:2003
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 . 138
B.2 General terms . 138
B.3 Collections and related terms. 139
B.4 Modelling terms. 139
B.5 Positioning terms. 140
B.6 Geometric terms. 140
B.7 Topological terms . 143
B.8 Relationship of geometric and topological complexes . 146
Annex C (informative) Examples of spatial schema concepts . 148
C.1 Geometry. 148
© ISO 2003 — All rights reserved v

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SIST ISO 19107:2003
ISO 19107:2003(E)
Annex D (informative) Examples for application schemata .154
D.1 Introduction.154
D.2 Simple Topology.154
D.3 Feature Topology .158
D.4 MiniTopo.159
Bibliography.165

Figures
Figure 1 — UML example association .16
Figure 2 — UML example package dependency.20
Figure 3 — Normative clause as UML package dependencies .21
Figure 4 — Geometry package: Class content and internal dependencies.23
Figure 5 — Geometry basic classes with specialization relations .
...