Spatial Referencing: Understanding Map Projections, Coordinate Systems, and Datums, Lecture notes of Literature

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

2021/2022

Uploaded on 08/05/2022

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Spatial referencing
An overview
Richard Knippers
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Spatial referencing

An overview^ Richard Knippers

Learning instructions

Learning activities:

Literature: ITC Core textbook, Chapter 3.1 onSpatial Referencing.  Website: http://kartoweb.itc.nl/geometrics  Exercise: Spatial referencing (ArcMap10)

Questions:

Blackboard Discussion Board

Contents

Spatial reference surfaces and datums 

The Geoid – vertical (height) datum  The Ellipsoid – horizontal (geodetic) datum  Local and global datums

Map projections 

Classification of map projections  Map projection selection  Map coordinate systems (e.g. UTM)

Coordinate transformations

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

Spatial reference surface

The Geoid

The Geoid – Vertical (height) datum

The Earth The Geoid Global Sea Level

Vertical datums

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

At what height do we live? http://www.ahn.nl/postcodetool

Elevation data are related to Amsterdam Zero (N.A.P.)

Ellipsoidal height Orthometric height (height above the Geoid)

Ellipsoidal height versus Orthometric height

Relation between Geoid and Ellipsoid^ The earth’s surface, and the geoid and a reference ellipsoid used to

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)

Spatial reference surface

The Ellipsoid

The Ellipsoid

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

Local and global ellipsoids/datums

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)

Local datum system of the Netherlands

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