The document discusses maps and map projections. It provides information on different types of map projections like cylindrical, conic, and planar projections. It explains key concepts like latitude, longitude, datums, and how different projections distort shapes and distances in different ways in order to portray the spherical Earth on a flat surface. No single projection can preserve all geometric properties.
This Presentation is to made concepts about measuring the earth (to locate position of any person on the whole earth). For this purpose we re going step by step basis in this presentation.These steps are mentioned as contents. After that you may able to learn about measuring a person's position of earth. Thank you!
Cartography is the science of map making related to geography, mathematics, geodesy, and human habitat, economy and society. Its a discipline developed during the early period of human civilization. With the development of science and technology, it has changed its paradigm twice. Its been digital, more integrated and very useful global media for communication.
This Presentation is to made concepts about measuring the earth (to locate position of any person on the whole earth). For this purpose we re going step by step basis in this presentation.These steps are mentioned as contents. After that you may able to learn about measuring a person's position of earth. Thank you!
Cartography is the science of map making related to geography, mathematics, geodesy, and human habitat, economy and society. Its a discipline developed during the early period of human civilization. With the development of science and technology, it has changed its paradigm twice. Its been digital, more integrated and very useful global media for communication.
A coordinate system is a reference system used to represent the locations of geographic features, imagery, and observations, within a common geographic framework.
Coordinate systems enable geographic datasets to use common locations for integration.
A map projection is a systematic transformation of the latitudes and longitudes of locations from the surface of a sphere or an ellipsoid into locations on a plane. Maps cannot be created without map projections.
Map projection is a systematic drawing of parallel of latitudes and meridians of longitude on a plane surface for the whole earth or a part of it on a certain scale so that any point on the earth surface may correspond to that on the drawing.
Maps cannot be created without map projections. All map projections necessarily distort the surface in some fashion.
Depending on the purpose of the map, some distortions are acceptable and others are not; therefore, different map projections exist in order to preserve some properties of the sphere-like body at the expense of other properties.
There is no limit to the number of possible map projections.
Understanding Coordinate Systems and Projections for ArcGISJohn Schaeffer
Everything you need to know to work with coordinate systems and projecting data in ArcGIS. The presentation starts by explaining the terminology, and then discusses the details you need to know to actually work successfully with coordinate systems, use the proper projections, and geographic transformations. This is a very practical look at a complex subject.
Cartography is the art, science and technology of map making.
Maps are used as research tools and as sources of information.
Maps have existed since the time of the Egyptian, Mesopotamian and Chinese civilizations, with the latter maps dating back to 6000 years.
A coordinate system is a reference system used to represent the locations of geographic features, imagery, and observations, within a common geographic framework.
Coordinate systems enable geographic datasets to use common locations for integration.
A map projection is a systematic transformation of the latitudes and longitudes of locations from the surface of a sphere or an ellipsoid into locations on a plane. Maps cannot be created without map projections.
Map projection is a systematic drawing of parallel of latitudes and meridians of longitude on a plane surface for the whole earth or a part of it on a certain scale so that any point on the earth surface may correspond to that on the drawing.
Maps cannot be created without map projections. All map projections necessarily distort the surface in some fashion.
Depending on the purpose of the map, some distortions are acceptable and others are not; therefore, different map projections exist in order to preserve some properties of the sphere-like body at the expense of other properties.
There is no limit to the number of possible map projections.
Understanding Coordinate Systems and Projections for ArcGISJohn Schaeffer
Everything you need to know to work with coordinate systems and projecting data in ArcGIS. The presentation starts by explaining the terminology, and then discusses the details you need to know to actually work successfully with coordinate systems, use the proper projections, and geographic transformations. This is a very practical look at a complex subject.
Cartography is the art, science and technology of map making.
Maps are used as research tools and as sources of information.
Maps have existed since the time of the Egyptian, Mesopotamian and Chinese civilizations, with the latter maps dating back to 6000 years.
Different types of Important projection systems & Coordinate systems.Every country would like to represent it's self in true shape, if shape changes then size , area also changes so that leads to distortions on the global properties of a map like Distance,direction,shape ,Area. so no country or continent will never like to represent themselves distorted , so hundreds of projections were developed by counties across the world.
Projections are an essentials part of every datasets. Basically, a projection is the mathematical operation needed to go from the planet actual shape to a flat map according to the Geographic Coordinate System.
Combined gis 2(GEOGRAPHIC INFORMATION SYSTEM)musadoto
Distortions
• The earth is spherical, and a simple way of mapping it without distortion is to map it on a globe. However, mapping on globes is not possible.
• The transformation from the three-dimensional ellipsoid/sphere to the two-dimensional plane (flat) surface is not possible without some form of distortion.
• The distortions increase as the distance from the central point of the projection increases
• Areas smaller than 25 x 25 km:
No distortions
• Areas larger than 25 x 25 km:
Always distortions
• Map projections are used to control/minimize the distortions
Classification and properties of map projections
Properties of map projections
• Areas are everywhere correctly represented
• All distances are correctly represented
• All directions on the map are the same as on Earth
• All angles are correctly represented
• The shape of any area is correctly represented (e.g. a circle projected would remain a circle)
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3. Maps as truth
• Maps are cultural artifacts, comparable in history to
arms and amour, musical instruments, or ships.
• Almost all cultures have developed maps, but with
enormously varying degrees of sophistication and
intent.
• Their origin is instinctive, in that they are products
of both the intellect and the imagination in
confronting problems in reality.
Whitfield P, 2002, Outer Worlds and Inner Worlds:
An Introduction to World Maps London: The British Library
www.StratAG.ie
4. Maps
• MAPS ARE SOCIAL CONSTRUCTIONS
• They are not objective
• Maps have contexts: invasion, for example
• Maps are an abstraction from reality – a
production of intentions, assumptions and
compromises.
• MAPS ARE MODELS
www.StratAG.ie
5. GEP Box, Science and Statistics, JASA, 71, 791-799
www.StratAG.ie
6. Global Coordinate Systems
• Spherical
coordinates.
measured in
degrees
• Latitude: north or
south of the Equator
• Longitude: east or
west of the Prime
Meridian
www.StratAG.ie
7. Latitude
• Parallels of latitude
• Run from 0 (Equator) to
90N and 90S
• There are several named
latitudes:
– Tropic of Cancer: 23° 26′
21″ N
– Equator: 00° 00′ 00″
– Tropic of Capricorn: 23°
26′ 21″ S
www.StratAG.ie
8. Longitude
• Measured relative to the Prime Meridian (Greenwhich
Meridian)
• Meridian: arc which runs from N Pole to S Pole connecting
locations with the same longitude
www.StratAG.ie Source: USGS
9. Flat worlds
• Our atlases and PC screens
are flat
x
• Measurements of location are y axis
conventionally made in terms
y
of distance east and distance
north of an origin:
coordinates Origin
x axis
• The axes meet at a right angle
• Known as cartesian
coordinates
www.StratAG.ie
10. Map Projections
• A map projection is a mathematical
transformation between the location on a
sphere as latitude, longitude, and the
location on a flat map as cartesian
coordinates (x,y or easting,northing).
• As well as individual points, lines and areas
can also be mapped.
www.StratAG.ie
11. Projections
• There are thousands of different projections
• Some are designed to show the whole
globe, other are optimised for only part of
the globe.
• They are often categorised by the manner of
their creation
– Cylindrical
– Conic
– Planar
www.StratAG.ie
12. If we treat the longitude and latitude measurements as cartesian coordinates [1 degree
corresponds to 1 unit of distance on the ground] we obtain the plate carrée or equirectangular
projection: clearly areas and distances in the polar regions are badly distorted
www.StratAG.ie Source: Wikipedia
13. Cartographers use a device known as Tissot’s Indicatrix to visualise the amount of local
deformation. At the Equator there is little distortion – circles remain circles.
With increased distance from the Equator there’s greater horizontal stretching – circles become
ellipses
www.StratAG.ie Source: Wikipedia
14. Gerhardus Mercator’s world projection of 1569 had the designed property that a sailing course of
constant bearing was represented by a straight line on the map [rhumb line or loxodrome].
Here is a projection which is directly related to maritime transport needs.
www.StratAG.ie Source: Wikipedia
15. Although an advance in terms of maritime navigation, areas and distances in the polar regions
are badly distorted – nevertheless it was a favourite global representation for map publishers
www.StratAG.ie Source: Wikipedia
16. Tissot’s Indicatrix gives some idea of the distortion of areas and distances – angles are
preserved so circles remain circles
www.StratAG.ie Source: Wikipedia
17. Cylindrical: Mercator
• In a cylindrical
projection the lines
of latitude and
longitude are
projected onto the
inside of a cylinder
as if the earth were
a light bulb
• In the transverse
form the cylinder is
oriented east-west
www.StratAG.ie Source: USGS
18. Conic
• A conic projection
assumes that the earth
has been cut by a giant
cone
• The latitudes at which
it is cut are called
standard parallels
• The two examples are
Albers’ equal area and
Lambert’s conformal
conic
www.StratAG.ie Source: USGS
19. Projections Distort Shapes
• Thinking of the light bulb analogy, shapes
get distorted when shadows are cast.
• Properties of geographical features on the
globe can alter when projected onto a map.
• Angles, areas, distances cannot always be
reliably measured.
• It is possible to preserve some properties,
but not all.
www.StratAG.ie
20. Angle Preservation
• Lambert's
Conformal Conic
Projection
• Angles on the
map correspond
to equivalent
angles on the
sphere
www.StratAG.ie
21. Area Preservation
• Albers Projection
• Areas on the map
are in proportion
with their areas
on the sphere
www.StratAG.ie
22. True Distance Preservation
• Azimuthal
Projection
• This preserves
distances along
meridians. It is not
possible to define a
projection to
preserve distance
everywhere
• This can be shown
mathematically.
www.StratAG.ie
23. Universal Transverse Mercator
• You will sometimes see UTM or Universal
Transverse Mercator used as a projection
• UTM divides the world into 60 6 degree wide
segments between 80S and 84N, numbered 1 … 60
– The meridian between zones 30 and 31 is the Prime Meridian
• A UTM zone is usually specified by a code pair:
– Zone 29N covers Ireland
– Zone 55S covers Tasmania
– Larger countries are covered by several zones.
www.StratAG.ie
25. USGS advice
• A map projection is used to portray all or part of
the round Earth on a flat surface. This cannot be
done without some distortion.
• Every projection has its own set of advantages and
disadvantages. There is no "best" projection.
• Mapmakers and mathematicians have devised
almost limitless ways to project the image of the
globe onto paper.
www.StratAG.ie Source: USGS
26. Specifying projections
• Some map datasets come with projection
information (.prj in ArcGIS shapefiles)
• Some software will provide on-the-fly
transformation which allows you to mix
datasets with different projections
• If you haven’t got projection data, then you
made need add this – ArcGIS and QGIS have
details of hundreds of projections built in;
R hasn’t
www.StratAG.ie
27. No projection details?
• Data in decimal degrees: WGS84
– Longitude: -180 to 180 and latitude: -90 to 90
– Unlikely to be metres
• Irish National Grid: metres
– No easting on the mainland in greater than 400000
– No northing on the mainland is greater than 500000
• Irish Transverse Mercator: metres
– No easting on the mainland is less than 400000
– No northing on the mainland is less than 500000
• UTM Zone 29N: metres
– Northings will be between 5679000 and 6079000
– Eastings will be between 366570 and 766570
www.StratAG.ie
28. Spatialreference.org
• Projections require parameters:
– Datum: spheroid name/dimensions
– Latitude of the origin
– Longitude of the central meridian
– Scale factor at the central meridian
– Latitudes of the standard parallels (if any)
– False easting/northing (ensures coordinates are
positive)
• More details at http://spatialreference.org
for thousands of different projections
www.StratAG.ie
29. Politicised cartography: Peters 1973
• The cartographic profession is, by its retention of old precepts based on the Eurocentric global concept,
incapable of developing this egalitarian world map which alone can demonstrate the parity of all peoples of
the earth.
(Peters, Arno (1983). Die Neue Kartographie/The New Cartography (in German and English). Klagenfurt, )
www.StratAG.ie Source: Wikipedia
30. Post-cold war cartography: 1995
• A remarkable volume was
published in 1995 by
Taylor and Francis
• It details hundreds of
different projections from
boths sides of what used
to be the Iron Curtain.
www.StratAG.ie
31. James Craig’s retroazimuthal projection of 1909 – it was designed to help Muslims find the
correct direction to face Mecca for the purposes of prayer.
www.StratAG.ie Source: Wikipedia
32. There are any number of textbooks on the mechanics of cartography, but until recently rather
fewer on theoretical aspects.
www.StratAG.ie
33. More recent texts have taken a critical stance – taking a map at face value and regarding it as
the truth is no longer a satisfactory position.
www.StratAG.ie
34. It’s been known since the early 1930s that data for spatial
units presents some rather awkward problems. Confirmed
in 1979 in a famous paper…
in Wrigley N, 1979, ed, Statistical Applications in the Spatial Sciences, London: Pion 127-144
www.StratAG.ie
35. Further info:
• Peter Dana’s excellent pages at:
http://www.colorado.edu/geography/gcraft/notes
/mapproj/mapproj_f.html
• http://spatialreference.org
• http://www.worldmapper.org/
(Soon to be hosted at the NCG)
www.StratAG.ie