ISO INTERNATIONAL STANDARD 19107 Second edition 2019-12 Geographic information Spatial schema Information géographique - Scheéma spatial Reference number ISO 19107:2019(E) ISO @IS02019 IS0 19107:2019(E) COPYRIGHTPROTECTEDDOCUMENT @ IS0 2019 All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting below or Iso's member body in the country of the requester. ISO copyright office CP 401 : Ch. de Blandonnet 8 CH-1214 Vernier, Geneva Phone: +41 22 749 0111 Fax: +41 22 749 09 47 Email: [email protected] Website: www.iso.org Published in Switzerland ii @ IS0 2019 - All rights reserved IS0 19107:2019(E) Contents Page Foreword .viii Introduction. .ix 1 Scope. 2 Normative references 3 Terms and definitions 4 Symbols, notation and abbreviated terms. .17 4.1 Presentation and notation .17 4.1.1 Unified Modeling Language (UML) .17 4.1.2 Naming conventions. .17 4.2 Organization. .18 4.3 Abbreviatedtermsandsymbols .18 5 Conformance. .19 5.1 Requirements class conformance targets 19 5.1.1 Conformance targets .19 5.1.2 Geometry metrics (geodesy) .22 5.1.3 Topological dimensionality 22 5.1.4 Interpolation schemes. 22 5.1.5 Structural complexity 23 5.1.6 Functional complexity 24 5.2 Conformance classes... 24 5.3 Requirements classes 25 6 Coordinates and core geometry 26 6.1 Semantics.. 26 6.2 Requirements Class Coordinate .27 6.2.1 Codelists to specify capabilities. .27 6.2.2 Coordinate systems for Geometry - -Semantics .27 6.2.3 GeometricReferenceSurface .31 6.2.4 Interface ReferenceSystem. .35 6.2.5 Codelist ReferenceSystemTypes. .36 6.2.6 Interface CompoundReferenceSystem .36 6.2.7 Interface HomogeneousCoordinateSystem 37 6.2.8 InterfaceGeometricCoordinateSystem .37 6.2.9 Datatype DirectPosition. .42 6.2.10 Union Datatype RSID... ..44 6.2.11 Codelist Axis 45 6.2.12 Role metadata: AxisDescription ..45 6.2.13 Datatype Axis Description 45 6.2.14 Codelist SpatialAxis 45 6.2.15 Codelist SphericalAxis 45 6.2.16 Codelist TemporalAxis .45 6.2.17 Codelist ParametricAxis 46 6.2.18 Codelist Datum. 46 6.2.19 Datatype Parameter. .47 6.2.20 Datatype Permutation, Projection 47 6.2.21 Interface ReferenceDirection .48 6.2.22 Datatype Bearing 48 6.2.23 Codelist Rotation .50 6.2.24 Codelist RelativeDirection 50 6.2.25 Codelist FixedDirection 50 6.2.26 Codelist CurveRelativeDirection 50 6.2.27 Datatype Vector... .51 6.2.28 Interface Envelope. .52 @ IS0 2019 - All rights reserved iii IS0 19107:2019(E) 6.2.29Engineering coordinate systems, Tangent spaces and local interpolations 53 6.3 RequirementsClassCoordinateData 53 6.4 Requirements Class Geometry... 54 6.4.1 Semantics .54 6.4.2 Interface TransfiniteSetOfDirectPositions. .55 6.4.3 CodeList: BoundaryType 55 6.4.4 Interface Geometry. 56 6.4.5 Datatype GeometryData. 70 6.4.6 CodeList: GeometryType 70 6.4.7 Interface Encoding. 70 6.4.8 InterfaceQuery2D 71 6.4.9 Interface Query3D .74 6.4.10 Interface Empty .75 6.4.11 Interface Primitive 76 6.4.12 Datatype PrimitiveData. 77 6.4.13 Interface Point. .78 6.4.14 Datatype PointData. 80 6.4.15 Interface Orientable 80 6.4.16 Datatype OrientableData 81 6.4.17 Datatype Knot. 82 6.4.18 Interface Curve 83 6.4.19 DataType CurveData 93 6.4.20 InterfaceOffsetCurve .93 6.4.21 Datatype OffsetCurveData 94 6.4.22 Interface ProductCurve. 94 6.4.23 ProductCurveData .96 6.4.24 CodeList: Curvelnterpolation .96 6.4.25 Interface Surface .97 6.4.26 Datatype SurfaceData .101 6.4.27 CodeList: Surfacelnterpolation .101 6.4.28 Interface Solid 101 6.4.29 Datatype SolidData. .104 6.4.30 CodeList: SolidInterpolation .104 6.4.31 Interface Collection .105 6.4.32 Role element: Geometry 106 6.4.33 DataType CollectionData .107 6.4.34 Interface Complex. .107 6.4.35 Role Complex: generator: Primitive 110 6.4.36 Role Complex: superComplex and subComplex 110 6.5 Requirements Class Geometry Data 111 7 Interpola