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Spatial Reference Systems. UniPHORM - UNIGIS Josef STROBL Department of Geography - Salzburg University. Objectives. Appreciation of the importance of spatial referencing within OpenGIS context Orientation about mechanisms for unambiguous spatial referencing on the surface of the Earth
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Spatial Reference Systems UniPHORM - UNIGISJosef STROBLDepartment of Geography - Salzburg University
Objectives • Appreciation of the importance of spatial referencing within OpenGIS context • Orientation about mechanisms for unambiguous spatial referencing on the surface of the Earth • Overview of specific spatial reference systems employed in central Europe
INTRODUCTION • Every spatial feature needs to be referenced to a location for GIS use • Spatial reference systems provide a framework to define positions on the Earth‘s surface • We are used to working with coordinate systems, but due to the Earth‘s irregular, spherical shape this can become intricate
Need for Spatial Reference Systems • Clear definition scheme required for geodata exchange and interoperability • This description needs to be coupled to geodata by sets of metadata • to permit flexible georeferenced visualization • to permit correct measurements • to permit operations between datasets based on different reference systems
Local vs global referencing • Local coordinate systems used to be sufficient for some maps and plans: • local origin with no given global reference • mostly cartesian systems, no projection info • Universal interoperability is only feasible within globally unequivocal reference systems • DO NOT USE LOCAL SYSTEMS!
Documentation of reference systems • All paper maps are supposed to contain complete documentation (projection, location, scale, orientation etc.) • This often gets lost in the digitizing process! • All geospatial data sets to be accompanied by full documentation: • complete georeferencing information • source, temporal and scale information • validity and quality information
Coordinate systems overview • Rules for identifying the position of each point in space by an ordered set of numbers: • Systems: • Cartesian: coordinate values locate a point in relation to mutually perpendicular axes • Polar: coordinates locate a point by angular direction(s) and distance from center. • Spherical: point on surface located by angular measurements from center (latitude, longitude)
Coordinate system • Coordinate systems are defined by • number of dimensions (1, 2 or 3) • sequence/name of coordinate values (x, y, z) • unit scaling factor and system (meters) • origin of axes • direction of axes • Coordinate systems can be based on a geodetic reference (datum) and a map projection
P(10,15) #17 Direct vs. Indirect Positioning • Two methods to position points relative to the surface of the Earth: • direct position: position based on coordinates • indirect position: position not using coordinates (e.g. street address)
Cartesian coordinate systems • Named after mathematician René Descartes • Mutually orthogonal system of straight axes as a complete reference framework for n-dimensional spaces • Axes intersect at system‘s origin • Metric, continuous measurement along axes • Projections of spherical surfaces result in 2-d cartesian systems
2D vs. 3D systems • Most GIS are 2D or 2.5D • Many GIS operations are not defined in 3d space • Increasingly, we need to handle 3D data, even if we don‘t fully use them • Visualisation of 3D data sets is currently more important than analysis
Geographical coordinates • Specify position on a spherical surface relative to rotational (polar) axis and center • Angular (polar) measurements • Latitude: angle from equatorial plane ±90° • Logitude: angle from Greenwich meridian ±180° • For planar display on a map a „projection transformation“ is needed
Discrete georeferencing • Coordinate systems represent spatial extent in a continuous measurement system. • Most everyday spatial references use „names“ for places and locations, thus referring to „discrete entities“: • placenames, administrative units • natural features with determined, bounded extent • (actually, the location of a raster cell is based on a discrete reference, too)
Shape of the earth • Sphere • simple, for small scale work • Ellipsoid • improved adjustment to ‚real‘ shape • Geoid • not a geometrically, but physically (gravity) defined body.
Geodetic Datum • Origin relative to Earth mass centre • x-axis relative to Greenwich • z-axis relative to Earth rotation axis • y-axis (to complete right-handed system) • based on specific ellipsoid (e.g. Clarke), this may be scaled • = 7 parameters!
Elevation measurements • Elevation ‚above sea level‘ is based on the physical (gravity) surface of the Earth • Differences between this ‚normal‘ and the geometrically defined ellipsoid height based on a specific geodetic datum can reach 50-100m • Thus the reference for elevation measures needs precise definition
Specific earth ellipsoids • Over time, dimensions of ellipsoids have been refined and adjusted for best fit in different regions on Earth • Usually specific ellipsoids are given the name of the mathematician / surveyor in charge and are specified as • semi-major and semi-minor axes a,b • or a and 1/f, where f=a/b
Map projections • A map projection is defined by • name of projection • type of projection (e.g. cylindrical - using different reference bodies) • description (applicable parameters depend on type of projection) • ellipsoid / datum parameters
Types of projections • Important types of projections are: • planisphere: whole earth is „unwrapped“ onto a plane one way or another • azimutal: part of earth‘s surface is projected onto a plane • conical: part of earth‘s surface is projected onto a conical shape and then flattened • cylindrical: same thing with a cylindrical shape
UTM: Universal Transversal Mercator System • Worldwide the most important projection system for large scale mapping • Transversal („horizontal“) cylindrical proj. • Cylinder is repositioned for better fit at every 6° longitude, starting from the international dateline going east: • Zones 1-60, each 6° wide around central meridian • central meridian is scaled to <1 to disperse error • central meridian set to constant value of 500000m
Metadata • Describing all spatial reference details for a geospatial data set in a structured and standardized way. • Indispensable for • all kinds of data transfers • interoperability • Part of ISO / CEN / OGC work (see below)
Transformations • Changing towards a target projection is either done on-the-fly or by generating a new, projected geospatial dataset. • Several different situations: • from geographical coordinates to projection • from a source projection, via geographical coordinates, towards target projection • vector data projection: „forward“ • raster data projection: „backward“
Resources Additional information regarding spatial reference systems can be found in: • print publications • online references and tutorials • software • standards documents
References • Maling, D.H. ... chapter in ‚Big Book‘ • Maling, D.H. Coordinate Systems and Map Projections-2nd edition. Oxford: Pergamon Press, 1992 • Bugayevskiy, Lev M. and John P. Snyder. Map Projections: A Reference Manual Taylor & Francis, 1995. • Defense Mapping Agency. 1991. World Geodetic System 1984 (WGS 84) - Its Definition and Relationships with Local Geodetic Systems, 2nd Edition. Washington, DC: Defense Mapping Agency (DoD). • Snyder, John P. Flattening the Earth-Two Thousand Years of Map Projections. Chicago: University of Chicago Press, 1993.
Online • Geographers‘s Craft (Peter Dana): http://www.utexas.edu/depts/grg/gcraft/notes/coordsys/coordsys.html http://www.utexas.edu/depts/grg/gcraft/notes/mapproj/mapproj.html http://www.utexas.edu/depts/grg/gcraft/notes/datum/datum.html • The Map Projection Homepage: http://everest.hunter.cuny.edu/mp/
Software • Blue Marble Geographics • Calculator, Transformer • ArcView GIS • Use View/Properties for on-the-fly projection from LatLong, or Projector! extension • GeoMedia • Projections flexibly defined in MS Access (.mdb) tables
Standards • International Standards Organisation • ISO TC211 • European Standards Organisation • CEN TC287 • The OpenGIS Consortium (OGC Inc.) • OpenGIS (see this chapter!)
CEN TC287 pr ENV 12762 • „Geographic information - Referencing - Direct position“ • Document CEN/TC 287 N 585 • Defines basic concepts related to coordinate position information • Gives necessary guidance to use reference systems for geographic information
Wrap-up • With OpenGIS, spatial reference systems are a VERY important topic once again • GIS specialists need detailed knowledge of projections and coordinate systems • For larger scales and greater accuracy, we need more in-depth treatment of spatial reference systems!
Review questionnaire To start the review questionnaire please click to the following address: http://www.geo.sbg.ac.at/projects/UniPhorm/quiz/quiz_spatref.htm