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[[Image:Usgs map albers equal area conic.PNG|frame|right|An Albers projection shows areas accurately, but distorts shapes.]] | |||
[[File:Albers projection SW.jpg|450px|thumb|Albers projection the world, standard parallels 20°N and 50°N.]] | |||
The '''Albers equal-area conic projection''', or '''Albers projection''' (named after Heinrich C. Albers), is a [[Map projection#Conical|conic]], [[Map projection#Equal-area|equal area]] | |||
[[map projection]] that uses two standard parallels. Although scale and shape are not preserved, distortion is minimal between the standard parallels. | |||
The Albers projection is the standard projection for [[British Columbia]].<ref>{{cite web |title=British Columbia Map Projection Standard |publisher=BC Integrated Land Management Bureau |url=http://www.ilmb.gov.bc.ca/risc/pubs/other/mappro/map.htm |accessdate=2010-08-05| archiveurl= http://web.archive.org/web/20100811004414/http://www.ilmb.gov.bc.ca/risc/pubs/other/mappro/map.htm| archivedate= 11 August 2010 <!--DASHBot-->| deadurl= no}}</ref> It is also used by the [[United States Geological Survey]] and the [[United States Census Bureau]].<ref>{{cite web |title=Projection Reference |publisher=Bill Rankin |url=http://www.radicalcartography.net/?projectionref |accessdate=2009-03-31| archiveurl= http://web.archive.org/web/20090425214731/http://www.radicalcartography.net/?projectionref| archivedate= 25 April 2009 <!--DASHBot-->| deadurl= no}}</ref> | |||
Snyder<ref name=snyder>{{Cite book| author=Snyder, John P. | title=Map Projections – A Working Manual. U.S. Geological Survey Professional Paper 1395 | publisher =United States Government Printing Office, Washington, D.C. | year=1987}}This paper can be downloaded from [http://pubs.er.usgs.gov/pubs/pp/pp1395 USGS pages.]</ref> (Section 14) describes generating formulæ for the projection, as well as the projection's characteristics. Coordinates from a spherical [[Datum (geodesy)|datum]] can be transformed into Albers equal-area conic projection coordinates with the following formulas,<ref> | |||
{{cite web |url=http://mathworld.wolfram.com/AlbersEqual-AreaConicProjection.html | |||
|title=Albers Equal-area Conic Projection | |||
|accessdate=2013-05-04 | |||
|work=Wolfram MathWorld | |||
|publisher=Wolfram Research | |||
|last=Weisstein |first=Eric | |||
}}</ref> where λ is the longitude, λ<sub>0</sub> the reference longitude, φ the latitude, φ<sub>0</sub> the reference latitude and φ<sub>1</sub> and φ<sub>2</sub> the standard parallels: | |||
:<math>x = \rho \sin\theta </math> | |||
:<math>y = \rho_0 - \rho \cos\theta </math> | |||
where | |||
:<math>n = {\tfrac12} (\sin\phi_1+\sin\phi_2) </math> | |||
:<math>\theta = n(\lambda - \lambda_0) </math> | |||
:<math>C = \cos^2 \phi_1 + 2 n \sin \phi_1 </math> | |||
:<math>\rho = \frac{\sqrt{C - 2 n \sin \phi}}{n} </math> | |||
:<math>\rho_0 = \frac{\sqrt{C - 2 n \sin \phi_0}}{n} </math> | |||
==See also== | |||
{{Portal|Atlas}} | |||
* [[List of map projections]] | |||
==References== | |||
{{reflist}} | |||
==External links== | |||
*[http://mathworld.wolfram.com/AlbersEqual-AreaConicProjection.html Mathworld's page on the Albers projection] | |||
* [http://www.radicalcartography.net/?projectionref Table of examples and properties of all common projections], from radicalcartography.net | |||
*[http://www.environmentyukon.gov.yk.ca/geomatics/techweb/yt-albers-projection.html Yukon Albers Projection] | |||
* [http://www.uff.br/mapprojections/Albers_en.html An interactive Java Applet to study the metric deformations of the Albers Projection]. | |||
[[Category:Cartographic projections]] | |||
[[Category:Equal-area projections]] | |||
{{Map Projections}} | |||
{{cartography-stub}} | |||
Latest revision as of 20:21, 13 September 2013
The Albers equal-area conic projection, or Albers projection (named after Heinrich C. Albers), is a conic, equal area map projection that uses two standard parallels. Although scale and shape are not preserved, distortion is minimal between the standard parallels.
The Albers projection is the standard projection for British Columbia.[1] It is also used by the United States Geological Survey and the United States Census Bureau.[2]
Snyder[3] (Section 14) describes generating formulæ for the projection, as well as the projection's characteristics. Coordinates from a spherical datum can be transformed into Albers equal-area conic projection coordinates with the following formulas,[4] where λ is the longitude, λ0 the reference longitude, φ the latitude, φ0 the reference latitude and φ1 and φ2 the standard parallels:
where
See also
Sportspersons Hyslop from Nicolet, usually spends time with pastimes for example martial arts, property developers condominium in singapore singapore and hot rods. Maintains a trip site and has lots to write about after touring Gulf of Porto: Calanche of Piana.
References
43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.
External links
- Mathworld's page on the Albers projection
- Table of examples and properties of all common projections, from radicalcartography.net
- Yukon Albers Projection
- An interactive Java Applet to study the metric deformations of the Albers Projection.
- ↑ Template:Cite web
- ↑ Template:Cite web
- ↑ 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.
My blog: http://www.primaboinca.com/view_profile.php?userid=5889534This paper can be downloaded from USGS pages. - ↑ Template:Cite web