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B Stereographic projection and uneven scaling

  1. May 10, 2017 #1
    Lets assume we are mapping one face of earth. we place a plane touching the earth at 0 lattitude and 0 longitude. Now we take the plane of projection. suppose that we expand the projection unevenly. The small projectional area of a certain lattitude and longitude is expanded by a factor which is the function of it's lattitude abd longitude.

    Evidently we won't get a circular projection. But how do i find the shape/equation of the projection if i know the expansion factor as a function of lattitude and longitude?
     
  2. jcsd
  3. May 10, 2017 #2
    The first thing you need to know is your map projection: https://en.wikipedia.org/wiki/Map_projection
    The projection you are describing is Azimuthal, but there are variants.
    From the wiki article:
     
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