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An overview of spatial referencing, focusing on the relevance and use of reference surfaces, coordinate systems, and coordinate transformations in mapping. It covers the concepts of geoids, ellipsoids, datums, map projections, and coordinate systems, as well as the principles of transforming maps from one projection system to another. The document also discusses trends in mapping and the importance of global vertical and horizontal datums.
Typology: Lecture notes
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An overview^ Richard Knippers
Literature: ITC Core textbook, Chapter 3.1 onSpatial Referencing. Website: http://kartoweb.itc.nl/geometrics Exercise: Spatial referencing (ArcMap10)
Blackboard Discussion Board
The Geoid – vertical (height) datum The Ellipsoid – horizontal (geodetic) datum Local and global datums
Classification of map projections Map projection selection Map coordinate systems (e.g. UTM)
Cone Plane Ellipsoid (best fitting) Geodetic (or horizontal) datum The Earth: a complex shape Mapping surface Independent handling of horizontal and vertical Cylinder Earth to Map
The Earth The Geoid Global Sea Level
Every country (or group of countries) has it’s own Mean Sea Level - its own vertical (height) datum. The Netherlands Belgium MSL of Belgium is 2.34m lower than MSL of The Netherlands
Elevation data are related to Amsterdam Zero (N.A.P.)
Ellipsoidal height Orthometric height (height above the Geoid)
approximate it. The geoidal undulation (N) is the separation between the geoid and an ellipsoid. It varies globally between ± 110 m. H^ N h N H = Orthometric heighth = Ellipsoidal heightN = Geoidal separation (undulation)
Typical values of the parameters for an ellipsoid: a = 6378137.0 m b = 6356752.31 m f = 1/298. e = 0. Flattening: Eccentricity: f = (a-b)/a e 2 = (a 2
- b 2 )/a 2
The ellipsoid is chosen in such way that it best fits the surface of the area of interest (the country) e.g. WGS e.g. Amersfoort (Bessel)
Ellipsoid Bessel ellipsoid Amersfoort datum National triangulation network φ = 52A ° 13' 26.2"N λ = 06A ° 53' 32.1"E X RD = 257776.47m Y RD = 471588.14m Geodetic datum φ = 52A ° 9' 22.2“ λ = 5A ° 23' 15.5" X RD = 155 000m Y RD = 463 000m