ISO19107 Geographic information

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ISO19107 Geographic information Spatial schema

• Pusan National University
• Dept. of Computer Engineering
• Spatiotemporal Database Lab.
• Joon-Seok Kim
• joonseok_at_pnu.edu

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Outline

• Introduction
• Schema
• Geometry
• Geometry root
• Geometry primitive
• Coordinate geometry
• Geometry aggregate
• Geometry complex
• Topology
• Topology root
• Topology primitive
• Topology complex
• Summary

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Introduction

• ISO19107
• Providing conceptual schemas for describing and
  manipulating the spatial characteristic
• Formal language
• Unified Modeling Language (UML) ISO19103
• Vector geometry and topology up to 3-D
• Spatial operations
• For use in access, query, management, processing,
  and data exchange of geographic information

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Package Clients of ISO19107
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Package Suppliers of ISO19107
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Main Diagram of ISO19107 Spatial Schema
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Geometry
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Geometry Packages
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Geometry basic classes
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Basic Concept
Point
Geometry object
Line
Rectangle

? Infinite set of points
? Point set theory
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Concept of Interior, Exterior and Boundary
U
Interior U Boundary Closure
Interior
Boundary
Exterior
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Boundary and Dimension
Dim. Boundary Example
Point 0 Empty
Curve 1 Point
Surface 2 Curve
Solid 3 Surface
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Simple and Cycle
(a)
(b)
(c)
(d)
simple cycle
(a), (b), (d) (d)
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GM_Object
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convexHull() and buffer()
d
convexHull()
buffer (radius d)
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Geometry Boundary Data Types
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The Number of Exterior of GM_SurfaceBoundary
2-Dimension plane
3-Dimension surface
? 1 exterior
? 0 exterior
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GM_Primitive
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Geometric Primitive
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GM_Point
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Concept of Orientation
s

e
For curves, direction in which the curve is
traversed
When used as bounding curves, left of oriented
curve

For surfaces, Z-axis that would form a
right-handed system
When used as bounding surfaces, below the
surface
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GM_OrientedPrimitive
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GM_Curve
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GM_Surface
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GM_Solid
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Coordinate Geometry
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DirectPosition
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Curve segment classes
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Linear and Geodetic Interpolation
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Arcs
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Conics and placements
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Spline and specialty curves
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Surface patches
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Polygonal surface
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TIN construction
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GM_ParmetricCurveSurface and its subtypes
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Geometric AggregateGeometric Complex
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GM_Aggregate
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GM_Complex
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CM_Composite
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Topology
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Concept of Topology

• Topology
• Deal with characteristics of geometric figures
  that remain invariant if the space is deformed
  elastically and continuously
• E.g. connectivity of an n-dimensional graph

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Topology packages
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Topological class diagram
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Relation between geometry and topology
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TP_Object
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Boundary and coboundary operation
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Boundary relation data types
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TP_Primitive
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TP_DirectedTopo subclasses
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TP_Node
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TP_Edge
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TP_Face
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TP_Solid
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TP_Expression
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TP_Complex
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Summary
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Geometry and Topology Packages
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Geometry basic classes
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Geometry Boundary Data Types
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Topological class diagram
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Relation between geometry and topology
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Spatial Examples from ISO19107
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Geometric objects in a 2-D CRS
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P1 GM_Point lt position lt 1.00, 5.00 gt gt P2
GM_Point lt position lt 3.00, 5.00 gt gt P3
GM_Point lt position lt 3.00, 2.00 gt gt P4
GM_Point lt position lt 1.75, 2.75 gt gt P5
GM_Point lt position lt 1.50, 4.50 gt gt P6
GM_Point lt position lt 2.00, 3.25 gt gt P7
GM_Point lt position lt 5.00, 4.00 gt gt
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CS1 GM_CurveSegment ltcontrolPoint ltP1,P2gt,
interpolation linear gt CS2 GM_CurveSegment
ltcontrolPoint ltP2,P3 gt, interpolation
linear gt CS3 GM_CurveSegment ltcontrolPoint
ltP2,(6,5),(6,2),P3gt, interpolation linear
gt CS4 GM_CurveSegment ltcontrolPoint
ltP1,(1,2), P3gt , interpolation linear gt CS5
GM_CurveSegment ltcontrolPoint ltP5,(1.9,4.25),
(2,4)gt interpolation arcgt CS6
GM_CurveSegment ltcontrolPoint lt(2,4),P6gt,
interpolation linear gt CS7 GM_CurveSegment
ltcontrolPoint ltP7,(4.25,4),(4.25,3.25),(5,3.25),
P7 gt, interpolation lineargt
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C1 GM_Curve segments ltCS1gt C2 GM_Curve
segments ltCS2gt C3 GM_Curve segments
ltCS3gt C4 GM_Curve segments ltCS4gt C5
GM_Curve segments ltCS5, CS6gt C6 GM_Curve
segments ltCS7gt
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S0 GM_Surface patch ltGM_Polygon interior ltlt
C1, C3, -C4 gtgt gt S1 GM_Surface patch
ltGM_Polygon exterior lt C4, -C2, -C1 gt,
interior ltlt C5, -C5 gtgt gt S2 GM_Surface patch
ltGM_Polygon exterior lt -C3, C2 gt, interior
ltlt -C6 gtgt gt S3 GM_Surface patch ltGM_Polygon
exterior lt C6 gt gt
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Lake AreaFeature featureTypeHydrographyWater
Body, extent S3 RoadCenterline LineFeature
featureType TransportationRoad, centerline
C2 RoadArea RoadCenterLine.centerline.buffer
lt distance 10m gt RoadExtent AreaFeature
featureType LandCoverRoad, extent
RoadArea RoadInstance ComplexFeature
featureType LandUseRoad, featureComponents
RoadCenterline, RoadArea Trail LineFeature
featureType CulturalFacilitiesHikingTrail,
centerline C5 School PointFeature featureType
CulturalFacilitiesSchool, Location P4