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Topic: Lambert conformal conic projection


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In the News (Fri 1 Jan 10)

  
  Map Projection Overview
Map projections are attempts to portray the surface of the earth or a portion of the earth on a flat surface.
Gall's stereographic cylindrical projection results from projecting the earth's surface from the equator onto a secant cylinder intersected by the globe at 45 degrees north and 45 degrees south.
A Lambert Conformal Conic Projection was proposed with an origin at 31:10 North, 100:00 West and with standard parallels at 27:25 North and 34:55 North.
www.colorado.edu /geography/gcraft/notes/mapproj/mapproj.html   (1829 words)

  
  Map projection   (Site not responding. Last check: 2007-11-02)
Azimuthal projections touch the earth to a plane at one tangent point; angles from that tangent point are preserved, and distances from that point are computed by a function independent of the angle.
Many azimuthal projections are true perspective projections; that is, they can be constructed mechanically, projecting the surface of the Earth by extending lines from a points of perspective (along an infinite line through the tangent point and the tangent point's antipode) onto the plane.
Azimuthal equidistant projection is used by amateur radio operators to know the direction to point their antennas toward a point and see the distance to it.
www.sciencedaily.com /encyclopedia/map_projection   (1729 words)

  
 Map Projections: Conic Projections
Due to simple construction and inherent distortion pattern, conic projections have been widely employed in regional or national maps of temperate zones (while azimuthal and cylindrical maps were favored for polar and tropical zones, respectively), especially for areas bounded by two not too-distant meridians, like Russia or the conterminous United States.
Relatively few projections are called "conic"; nevertheless, many others are ruled by conic principles, since the cone is a limiting case of both the circle (a cone with no height, and cone constant 1) and the cylinder (a cone with vertex at infinity, with standard parallels symmetrical north and south of the Equator).
In a particular case of Albers's conic projection, either 90°N or 90°S is chosen as a standard parallel, and therefore meridians converge at a pole.
www.progonos.com /furuti/MapProj/Normal/ProjCon/projCon.html   (1484 words)

  
 Lambert's Map
Conformal maps preserve the shapes of small areas exactly, although the scale of the map may vary from point to point.
Conformality is an extremely valuable property for maps that are to be used critically, and not just for general orientation or decoration.
Lambert was the inventor of the hyperbolic functions, and the first to study map projections scientifically.
mysite.du.edu /~jcalvert/math/lambert.htm   (3407 words)

  
 Geometry Glossary
Cylindical projections are based upon the various methods of projecting the Earth upon a cylinder that is either tangent to the equator (normal or equatorial form), a meridian (transverse) or obliquely aligned.
Conic projections involve the transformations to a cone either secant or tangent to the Earth's surface.[e.g.
The Mercator (MERC) map projection, sometimes referred to as the Plain Mercator, is made from the centre of the Earth onto a cylinder surrounding and touching it at the Equator.
envisat.esa.int /dataproducts/asar/CNTR5-5.htm   (3295 words)

  
 Lambert Projections
conic projection that displays the poles as the points they truly are.
Lambert was born in either Germany or France (depending on who you believe) in 1728 and died in Berlin in 1777 (that's his "official" portrait in Figure 2).
This gives the Lambert projection curved north and south edges (unless the projection is used to maps one of the poles, in which case the map has no edge over the pole -- the pole is shown as a single point) and straight east and west edges.
www.cnr.colostate.edu /class_info/nr502/lg2/projection_descriptions/lambert.html   (611 words)

  
 Conical Map Projections   (Site not responding. Last check: 2007-11-02)
As with azimuthal and cylindrical projections, the equidistant conic projections are obtained by adjusting the spacing of the parallels so that they are equally spaced along meridians and the distance between the parallels on the map is equal to the arc length between parallels on the generating globe.
Alber's projection is constructed by modifying the spacing of parallels to obtain an equivalent projection.
As with the Mercator projection, the Lambert conformal projection is constructed by adjusting the spacing of the parallels so that the stretching of the map in the east-west direction is exactly matched by stretching in the north-south direction.
www.fes.uwaterloo.ca /crs/geog165/conproj.htm   (734 words)

  
 * Amber - (GIS): Definition
Conformal conic map with standard parallels 50°N and 10°S, clipped at 50°S. The same paper (1772) with Lambert's equal-area conic projection included his conformal conic design...
A Lambert projection is a form of Conic projection often used for maps of the continental United States, France, and other countries...
States that are elongate from north to south, such as California, use a Lambert conformal projection (Lambert is the name of the cartographer who designed the projection, the projection itself is a conformal conic projection)...
en.mimi.hu /gis/amber.html   (530 words)

  
 Surveying and Land Information Science: Pennsylvania State plane coordinate system: Converting to a single zone   (Site not responding. Last check: 2007-11-02)
The Lambert conformal conic projection was chosen, if for no other reason than because Pennsylvania currently uses this projection and computations are more easily performed by hand with this projection than with the transverse Mercator projection.
The formulas for the Lambert conformal conic map projection developed for an ellipsoid are shown in Appendix I. In these equations, a and f are the semi-major axis and flattening, respectively, of the ellipsoid for the selected datum.
When using the Lambert conformal conic projection, the north and south limits of a zone must overlap far enough into the adjacent SPCS zones to provide room for the establishment of two intervisible traverse stations in the overlap region.
www.findarticles.com /p/articles/mi_qa4039/is_200206/ai_n9106587   (1473 words)

  
 Lambert's Conformal Conic
Although conic projections are most noted for their applicability to most parts of the world in their conventional case, they also offer flexibility in that their standard parallel can be varied to fit different shapes, and they can be subjected to coordinate conversions like any other projection.
Conformal maps are particularly suited to depictions of extended areas, since they avoid the shape distortions most noticeable to the eye.
Since on any conic projection with a standard parallel at lat_sp, the angles are reduced by being multiplied by sin(lat_sp), then it follows we can raise the stereographic r to the power sin(lat_sp) to get the radius from the pole for any parallel of latitude in the conformal conic.
www.quadibloc.com /maps/mco0301.htm   (865 words)

  
 Map Projections
Polyconic projections are performed by projecting points on the surface of the earth onto a series of frustums of cones that are fitted together.
Parametric equations for the Lambert Conformal Conic Projection:
A map projection on a cylinder tangent to the earth at the equator.
www.bae.uky.edu /~precag/BAE599/Module_1/Notes/projections.html   (485 words)

  
 Lambert's Map
Conformality is an extremely valuable property for maps that are to be used critically, and not just for general orientation or decoration.
The stereographic projection is projection onto a plane, while Mercator's projection is onto a cylinder surrounding the sphere, which, when unwrapped, becomes a plane map.
Lambert was the inventor of the hyperbolic functions, and the first to study map projections scientifically.
www.du.edu /~jcalvert/math/lambert.htm   (3407 words)

  
 * Conical Projection - (GIS): Definition
Map projections are used to transform ellipsoid co-ordinates along the lines of latitude and longitude, to Euclidean co-ordinates on a 2-dimensional plane...
Three well-known conical projections are the Lambert Conformal Conic projection, the Albers equal-area projection and the Polyconic projection.
The Lambert Conformal Conic projection in normal position is an example of a conic projection...
en.mimi.hu /gis/conical_projection.html   (183 words)

  
 Map Projections Poster
For example, the basic Mercator projection is unique; it yields the only map on which a straight line drawn anywhere within its bounds shows a particular type of direction, but distances and areas are grossly distorted near the map's polar regions.
Some projections are suited for mapping large areas that are mainly north-south in extent, others for large areas that are mainly east-west in extent, and still others for large areas that are oblique to the Equator.
Cylindrical— Mathematically projected on a cylinder tangent to the Equator.
erg.usgs.gov /isb/pubs/MapProjections/projections.html   (3453 words)

  
 Projections
The Geographer's Craft Project, Department of Geography, The University of Colorado at Boulder.
The Georgia Statewide Lambert Conformal Conic may be used for the compilation of those wide area maps (statewide and regional) whose mapping area extends beyond the limits of State Plane and UTM zones.
Albers Projection is a conic projection that uses two standard parallels to reduce some of the distortion produced when only one standard parallel is used.
www.gis.state.ga.us /Clearinghouse/FAQ/proj/proj.html   (1307 words)

  
 Approximation of the Krovák coordinates in Slovakia with a Lambert Conformal Conic projection for the GIS and GPS ...
Approximation of the Křovák projection with the Lambert Conformal Conic projection in the GIS and GPS applications on the territory of Slovakia
The substitute LCC projection is precise enough for most raster-based GIS application, where the pixel size is larger than 10 meter or for any GIS application where the precision claim doesn’t exceed 10-12 meters.
Timár, G., Danišík, M. (2003): Approximation of the Křovák projection with the Lambert Conformal Conic projection in the GIS and GPS applications on the territory of Slovakia (in Slovakian with English summary).
sas2.elte.hu /tg/krovak_kl_en.htm   (969 words)

  
 Exercise in Map Projections
Map projection involves taking data whose spatial coordinates are defined in terms of latitude and longitude on a curved earth surface and transforming those data so that their spatial coordinates are defined in terms of Easting and Northing or (x,y) on a flat map surface.
This projection is "conformal" in the sense that lines of latitude and longitude, which are perpendicular to one another on the earth's surface, are also perpendicular to one another in the projected domain.
The Albers Equal Area projection has the property that the area bounded by any pair of parallels and meridians is exactly reproduced between the image of those parallels and meridians in the projected domain, that is, the projection preserves the correct area of the earth though distorts direction, distance and shape somewhat.
www.ce.utexas.edu /prof/maidment/gishydro/africa/ex2af/ex2af.htm   (2916 words)

  
 map projection, 2001 census   (Site not responding. Last check: 2007-11-02)
A map projection is the process of transforming and representing positions from the earth's three-dimensional curved surface to a two-dimensional (flat) surface.
The Lambert Conformal Conic map projection is widely used for general maps of Canada at small scales and is the most common map projection used at Statistics Canada.
The Lambert Conformal Conic map projection is the working projection for the Cartographic Boundary Files, the National Geographic Base and the Road Network Files.
www12.statcan.ca /English/census01/products/reference/dict/geo031.htm   (375 words)

  
 Lambert Conformal Conic Projection :: Map Projections (Mapping Toolbox)
This projection is free of distortion along the standard parallels.
This projection is conformal everywhere but the poles; it is neither equal-area nor equidistant.
If a pole is selected as one of the standard parallels, then the projected pole is a point, otherwise the projected pole is an arc.
www.mathworks.com /access/helpdesk/help/toolbox/map/lambertconformalconicprojection.html   (292 words)

  
 Lambert conformal projection --  Encyclopædia Britannica   (Site not responding. Last check: 2007-11-02)
conic projection for making maps and charts in which a cone is, in effect, placed over the Earth with its apex aligned with one of the geographic poles.
In plane projections, a series of points on one plane may be projected onto a second plane by choosing any focal point, or origin, and constructing lines from that origin that pass through the points on the first plane and impinge upon the second (see).
If the Earth were a cone or a cylinder, it could be drawn upon a conical or cylindrical surface that could then be cut and unrolled to form a flat map.
www.britannica.com /eb/article?tocId=9046945   (779 words)

  
 EcoAtlas: Projections and Survey Systems
Although we cannot use conic projections for a world map, they are excellent for continent--sized areas in the mid--latitudes.
Conic projections are usually made more accurate by "sinking" the cone part way into the globe (remember, this is all done with computers, not literally!).
Most planar projections preserve true direction away from the center of the map (usually the Pole) and so azimuthal is nearly synonymous with planar projection.
www.sfei.org /ecoatlas/GIS/MapInterpretation/ProjectionsSurveySystems.html   (5125 words)

  
 IMF Developer's Guide
The element specifies the units and projection to be used for the map or reporting routines.
The user name of the projection that will be displayed on the map and reports.
Specify in meters unless the projection units are feet, in which case the false easting and northing values should also be in feet.
www.moximedia.com /imf406/site/projection-lambert-conformal-conic.html   (155 words)

  
 Lambert Conformal Conic Projection (Mapping Toolbox)
The cone of projection has interesting limiting forms.
This projection was presented by Johann Heinrich Lambert in 1772 and is also known as a Conical Orthomorphic projection.
Longitude data greater than 135° east or west of the central meridian is trimmed.
www.phys.ufl.edu /docs/matlab/toolbox/map/lambertconformalconicproj.html   (251 words)

  
 [No title]   (Site not responding. Last check: 2007-11-02)
end ; transformation for lambert conformal conic projection if(ip(4) eq 1) then begin r=(tan(!pi/4.-!dtor*rlat/2.))^rp(10) xp=rp(11)*r*sin(rp(10)*(rp(7)-!dtor*rlon)) yp=-rp(11)*r*cos(rp(10)*(rp(7)-!dtor*rlon)) xp=xp-rp(12) yp=yp-rp(13) end ; transform to 'unprimed' system ; first rotate yd=yp*cos(alpha)-xp*sin(alpha) ; now translate yd=yd+ip(3)*rp(2) return,yd end ;---------------------------------------------------------------------- function rlat,x,y,ip,rp ; find lat for x,y (meters) on bathymetric grid alpha=rp(6)*!pi/180.
dl=rp(19)*xp+rp(20)*yp+rp(21)*xp*yp+rp(22)*xp*xp rl=rp(0)+dl end ; transformation for lambert conformal conic projection if(ip(4) eq 1) then begin xp=xp+rp(12) yp=yp+rp(13) xx=xp/rp(11) yy=yp/rp(11) r=sqrt(xx^2+yy^2) rl=360.*(!pi/4.-atan(r^(1./rp(10))))/!pi end return,rl end ;---------------------------------------------------------------------- function rlon,x,y,ip,rp ; find lon for x,y (meters) on bathymetric grid alpha=rp(6)*!pi/180.
dl=rp(15)*xp+rp(16)*yp+rp(17)*xp*yp+rp(18)*xp*xp rl=rp(1)-dl end ; transformation for lambert conformal conic projection if(ip(4) eq 1) then begin xp=xp+rp(12) yp=yp+rp(13) xx=xp/rp(11) yy=yp/rp(11) rl=180.*(rp(7)-atan(xx,-yy)/rp(10))/!pi end return,rl end ;---------------------------------------------------------------------- pro rgrid,fname,gname,dgrid,iparm,rparm ; Purpose: ; To read a bathymetric grid data file ; and return grid parameters and depths.
www.glerl.noaa.gov /eegle/resources/model_group/rgrid.pro   (229 words)

  
 Lambert Conformal Conic Projection -- 3DSoftware.com   (Site not responding. Last check: 2007-11-02)
Mercator projection, if the single standard parallel is the Equator or if two standard parallels are symmetrically placed north and south of the Equator.
Tsinger in 1916, and V.V. Kavrayskiy (projection III) in 1934.
Once the standard parallels are selected, all these projections are constructed by using the same formulas used for the Lambert Conformal Conic with two standard parallels.
www.3dsoftware.com /Cartography/USGS/MapProjections/Conic/LambertConformal   (475 words)

  
 5.2.2 Lambert Conic Conformal Projection (-Jl -JL)
This conic projection was designed by Lambert (1772) and has been used extensively for mapping of regions with predominantly east-west orientation, just like the Albers projection.
Unlike the Albers projection, Lambert's conformal projection is not equal-area.
Note that with all the projections you have the option of selecting a rectangular border rather than one defined by meridians and parallels.
www.ccs.ucsd.edu /gmt/doc/html/GMT_Docs/node43.html   (249 words)

  
 Conformal, Polyconic Projections
Polyconic projections - points on the surface of the earth are projected on to a series of frustrums of cones that are fitted together.
Lambert conformal conic projection - most widely used projection, used for state plane coordinates in states with greater East-West distances than North-South, it is a conic projection with two standard parallels.
Mercator projection - map projection on a cylinder tangent to the earth at the equator
www.bae.uky.edu /~precag/modules/cpp.html   (460 words)

  
 Geoscience Australia: ACRES OPTICAL MAP PROJECTION OPTIONS   (Site not responding. Last check: 2007-11-02)
For the first two projections, customers may choose their desired datum (GDA94 is the default).
Australian Map Grid 1966 is a UTM projection of coordinates based on the Australian Geodetic Datum 1966 (AGD66).
Map Grid of Australia 1994 is a UTM projection of coordinates based on the Geodetic Datum of Australia 1994 (GDA94).
www.ga.gov.au /acres/referenc/projection_optical.htm   (334 words)

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