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Map projection - Choosing a projection surface | | Map projection - Choosing a projection surface: Encyclopedia II - Map projection - Choosing a projection surface | | A surface that can be unfolded or unrolled into a flat plane or sheet without stretching, tearing or shrinking is called a 'developable surface'. The cylinder, cone and of course the plane are all developable surfaces. Unfortunately, the sphere and ellipsoid are not developable surfaces. Any projection that attempts to project a sphere (or an ellipsoid) on a flat sheet will have to distort the image (similar t ...
See also:Map projection, Map projection - Metric properties of maps, Map projection - Construction of a map projection, Map projection - Choosing a projection surface, Map projection - Orientation of the projection, Map projection - Scale, Map projection - Choosing a model for the shape of the Earth, Map projection - Classification, Map projection - Projections by surface, Map projection - Cylindrical, Map projection - Pseudocylindrical, Map projection - Conical, Map projection - Pseudoconical, Map projection - Azimuthal projections onto a plane, Map projection - Projections by preservation of a metric property, Map projection - Conformal, Map projection - Equal-area, Map projection - Equidistant, Map projection - Gnomonic, Map projection - Retroazimuthal, Map projection - Compromise projections, Map projection - Other noteworthy projections | | | Map projection, Map projection - Azimuthal projections onto a plane, Map projection - Choosing a model for the shape of the Earth, Map projection - Choosing a projection surface, Map projection - Classification, Map projection - Compromise projections, Map projection - Conformal, Map projection - Conical, Map projection - Construction of a map projection, Map projection - Cylindrical, Map projection - Equal-area, Map projection - Equidistant, Map projection - Gnomonic, Map projection - Metric properties of maps, Map projection - Orientation of the projection, Map projection - Other noteworthy projections, Map projection - Projections by preservation of a metric property, Map projection - Projections by surface, Map projection - Pseudoconical, Map projection - Pseudocylindrical, Map projection - Retroazimuthal, Map projection - Scale, World map, Reversed map, Cartography, Cartographer, Geographic information system (GIS), Trimetric projection, Isometric projection, Dimetric projection, Oblique projection, Orthogonal projection, Perspective projection | | |
| | | Map projection: Encyclopedia II - Map projection - Choosing a projection surface
Map projection - Choosing a projection surface
A surface that can be unfolded or unrolled into a flat plane or sheet without stretching, tearing or shrinking is called a 'developable surface'. The cylinder, cone and of course the plane are all developable surfaces. Unfortunately, the sphere and ellipsoid are not developable surfaces. Any projection that attempts to project a sphere (or an ellipsoid) on a flat sheet will have to distort the image (similar to the impossibility of making a flat sheet from an orange peel).
One way of describing a projection is describing a projection from the earth's surface to a cylinder or cone. Together with the simple second step of unrolling the cylinder (or cone) into a plane, we have the full projection. While the first step inevitably distorts some properties of the globe, the developable surface may then be unfolded without further distortion.
Other related archivesAlbers, Albers conic, American polyconic, Area, Axonometric projection, Azimuthal, Azimuthal equidistant, Bearing, Behrmann, Bonne, Bottomley, Buckminster Fuller's Dymaxion, Cartographer, Cartography, Conformal map, Craig retroazimuthal, Dimetric projection, Direction, Distance, Equirectangular, GPS, Gall orthographic, Gall-Peters, Geographic information system, Gnomonic, Gnomonic projection, Goode homolosine, Graphical projection, Great circles, Hobo-Dyer, ISS, Isometric projection, Lambert azimuthal equal-area, Lambert conformal conic, Lambert cylindrical equal-area, Littrow, Mercator, Mercator projection, Miller cylindrical, Miller cylindrical projection, Mollweide, Moon, North Pole, Oblique projection, Oronce Fine, Orthogonal projection, Orthographic, Orthographic projection, Perspective projection, Plate carrée, Reversed map, Robinson, Scale, Shape, Sinusoidal, Stereographic, Trimetric projection, Van der Grinten, WGS84, Werner, Werner cordiform, Winkel Tripel, World map, amateur radio, antipode, cartography, circles of latitude, cognitive maps, cone, conformal, conformal map, cylinder, developable surface, earth, ellipsoid, equator, flag of the United Nations, formulae, function, geographic datums, geoid, geometric, globe, globes, gnomonic projection, great circles, latitude, longitude, maps, meridian, meridians, mutatis mutandis, oblique, parallel, perspective, plate carrée, point, polyconic, projection, scale, secant, sinusoidal, sphere, stereographic, surface, tangent, topographic maps, transverse, transverse Mercator, two-dimensional
 Adapted from the Wikipedia article "Choosing a projection surface", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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