The Tobler hyperelliptical projection is a family of pseudocylindrical projections used for mapping the earth.
It is named for Waldo R. Tobler, its inventor.
It is an equal-area projection. In the normal aspect, the parallels of latitude are parallel straight lines whose spacing is calculated to provide the equal-area property; the meridians of longitude (except for the central meridian, which is a straight line perpendicular to the lines representing parallels) are curves of the form a|x|γ + b|y|γ = 1 (with a dependent on longitude and b constant for a given map). When γ = 2 the projection becomes the Mollweide projection; when γ=1 it becomes the Collignon projection; the limiting case as γ→infinity is the Cylindrical equal-area projection (Lambert cylindrical equal-area, Gall–Peters, or Behrmann projection). Values of γ that are favored by Tobler and others are generally greater than 2.
The projection was first described by Tobler in 1973.
External reference
Tobler, Waldo (1973). "The hyperelliptical and other new pseudocylindrical equal area map projections". Journal of Geophysical Research 78 (11): pp. 1753–1759. doi:.
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