Mercator projection, a map projection introduced by Flemish cartographer Gerardus Mercator in 1569. It is a compromise projection; it does not eliminate any type of distortion, but it keeps the levels of all types of distortion relatively low over most of the map. Goode homolosine is an equal-area pseudocylindrical projection for world maps. This map was created as an improvement on the Robinson projection. The scale along all parallels and the central meridian of the projection is accurate. Uses and applications. Presented by F. Webster McBryde and Paul D. Thomas through … Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Each red circle is 1,000 km in diameter. Credits. Direction Local angles are correct along the central meridian and the equator but distorted elsewhere. This is a corrected version of SR-ORG:6842, describing the global sinusoidal projection used by many MODIS land products. NSIDC describes these data as a 36 by 18 array of 1200 km by 1200 km tiles, where each tile is 2400 by 2400 cells, and the cells are 500 m by 500 m. Each HDF file contains one tile. Mapping Toolbox™ uses a different implementation of the sinusoidal projection for displaying coordinates on map axes than for projecting coordinates using the projfwd or projinv function. The latter series uses standard parallels of 33" N. and 45" N. Aeronautical charts for Alaska use standard parallels at 55° N. and 65" N. The National Atlas of Canada uses standard parallels at 49° N. and 77" In the figure below, the outline represents the United States !50 states} Base Map. Winkel II projection uses Mollweide projection. The Sinusoidal Projection is a coordinate transform often used to map geographical coordinates on to a flat surface in order to generate a map. Mapping Toolbox™ uses a different implementation of the sinusoidal projection for displaying coordinates on map axes than for projecting coordinates using the projfwd or projinv function. Mapping Toolbox™ uses a different implementation of the sinusoidal projection for displaying coordinates on map axes than for projecting coordinates using the projfwd or projinv function. Description. Uses The Robinson projection is unique. Winkel projection is a group of three projections proposed by German cartographer Oswald Winkel (7 January 1874 – 18 July 1953) in 1921. It is the oldest pseudocylindrical projection currently in use, and is sometimes called the Sanson-Flamsteed or the Mercator Equal-Area projection. It projects great circles as straight lines. MODIS Sinusoidal . Limitations. map projection. 2002; White 2006;Roy et al. A seven zone sinusoidal projection has seven cylinder definitions . Winkel I projection uses sinusoidal projection. It is the oldest pseudocylindrical projection currently in use, and is sometimes called the Sanson-Flamsteed or the Mercator Equal-Area projection. Colors indicate the 12 Goode's regions. Mapping Toolbox™ uses a different implementation of the sinusoidal projection for displaying coordinates on map axes than for projecting coordinates using the projfwd or projinv function. Create a default map axes in a sinusoidal projection, turn on the graticule, and display the coast data set as filled polygons. The best way to gain an understanding of projection aspect is to experiment with orientation vectors. This azimuthal projection uses the center of the earth as its perspective point. The vertical scale factor of the sinusoidal projection, therefore, been used for equal-area maps and for regional becomes [sec(ε) cos(ε)], which is 1.0. Its primary purpose is to create visually appealing maps of the entire world. Used for world maps illustrating area characteristics, especially if interrupted. Sinusoidal Equal-Area Projection. Homolosine projection. Mapping Toolbox™ uses a different implementation of the sinusoidal projection for displaying coordinates on map axes than for projecting coordinates using the projfwd or projinv function. The meridians of the Robinson projection curves are gently stretching the poles into long lines. Smaller regions using the interrupted form exhibit less distortion than the uninterrupted sinusoidal projection of the world. Not all projection software recognizes the "semi_minor" argument to Sinusoidal … As we saw previously, the width of a degree of longitude is proportional to the cosine of the latitude. Sinusoidal projection with Tissot's indicatrix.png 1,240 × 640; 65 KB Sinusoidal with Tissot's Indicatrices of Distortion.svg 1,600 × 800; 512 KB Tissot indicatrix world map sinusoidal proj.svg 3,000 × â€¦ The Mercator projection is a useful navigation tool, as a straight line on a Mercator map indicates a straight course, but it is not a practical world map, because of distortion of scale near the poles. The Mollweide projection is used north and south of the 40°44'12'' parallels. Area Areas are represented accurately. Most alternative projections now in use, such as Robinson, Van der Grinten, or Eckert IV, still do not preserve the quality of ‘equal area’. Coastline data from www.naturalearthdata.com. Figure 5. Van der Grinten is a compromised projection which is neither equal-area nor conformal. Hammer. Mercator’s projection was designed in the 16th century for navigational use but was adopted, inappropriately, for use as a world reference map. Eckert VI projection uses sinusoids for meridians and is equal-area, but the poles are lines half as long as the equator. It is the oldest pseudocylindrical projection currently in use, and is sometimes called the Sanson-Flamsteed or the Mercator Equal-Area projection. This study uses the sinusoidal projection as a basis for evaluating pixel loss and replication in eight other planar map projections. Each red circle is 1,000 km in diameter. The Sinusoidal projection is used to map the Equatorial regions of each interrupted lobe . The projection is neither equal-area nor conformal because of the compromise to show the whole planet. This equal-area pseudocylindrical projection is combination of the Mollweide and sinusoidal projections, most commonly used in interrupted form. See more. The projection is best suited for land masses extending in an east-to-west orientation at mid-latitudes. 2016). 3. It is a combination of Mollweide (or homolographic) and sinusoidal projections, hence the name homolosine. The Sinusoidal Projection. Goode homolosine. Countries of the world in Goode's projection. The Sinusoidal Projection is used for most of the gridded MODIS land products, and has a unique sphere measuring 6371007.181 meters The UpperLeftPointMtrs is in projection coordinates, and identifies the very upper left corner of the upper left pixel of the image data It uses two standard parallels to reduce some of the distortion that would be found in a projection with one standard parallel. It is the oldest pseudocylindrical projection currently in use, and is sometimes called the Sanson-Flamsteed or the Mercator Equal-Area projection. Distance It is most commonly used in interrupted form. The MCD12Q1 land cover dataset for 2012, in its native sinusoidal map projection. Winkel projections use arithmetic mean of the equirectangular projection and other projections. So, in essence, this MODIS sinusoidal projection uses a sphere that has the same area as the WGS 84 ellipsoid. More Maps. Sinusoidal projection uses sinusoids for meridians, but the poles are points. The azimuthal projection , also called azimuthal projection and zenith projection, consists of the geographical projection of the Earth on a flat surface.The main intention of this projection is to obtain a vision of the globe from the center of it or from outer space. Mapping Toolbox™ uses a different implementation of the sinusoidal projection for displaying coordinates on map axes than for projecting coordinates using the projfwd or projinv function. The following example uses a pseudocylindrical projection, the sinusoidal. This type of equal-area projection is a combination of the Homolographic and the Sinusoidal. The Mollweide projection was first created by Karl Mollweide in 1805 and then familiarized again by Jacques Babinet in 1857. The sinusoidal (SIN) projection is a superior planar projection for expressing global remote sensing products (Seong et al. Uses : Allows a world scale map to avoid extreme exaggeration at the poles when used as a multi-zone projection : Example : Parent topic: Projection Characteristics Sinusoidal projection definition, an equal-area projection in which parallels are straight lines spaced at regular intervals, the central meridian is a straight line one-half the length of the equator, and the other meridians are curves symmetrical to the central meridian. Colors inspired by Eric Gaba. The Sinusoidal projection is typically used for map making of the equatorial regions such as in South America and Africa. Described are the regions' underlying map projections, region numbers, and latitudinal boundaries. The projection uses a spherical projection ellipsoid but a WGS84 datum ellipsoid. As a projection, n is always 1.0, and m equals sec(ε) global projection, the sinusoidal projection has (Bugayevskiy and Snyder 1995, 67). Other articles where Sinusoidal wave is discussed: mathematics: Mathematical astronomy: …to what is actually a sinusoidal variation.) Distortion is reduced when used for a single land mass rather than the entire globe. The sinusoidal projection is a pseudocylindrical equal-area map projection, sometimes called the Sanson–Flamsteed or the Mercator equal-area projection.Jean Cossin of Dieppe was one of the first mapmakers to use the sinusoidal, appearing in a world map of 1570. Origin. English: The world on a sinusoidal projection, with 10° graticule and Tissot's indicatrices overlaid. This is especially true for regions near the equator. It is the oldest pseudocylindrical projection currently in use, and is sometimes called the Sanson-Flamsteed or the Mercator Equal-Area projection. 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