- Tobler hyperelliptical projection
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 parallelstraight line s whose spacing is calculated to provide the equal-area property; the meridians oflongitude (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 theMollweide projection ; when γ=1 it becomes theCollignon projection ; the limiting case as γ→infinity is the Cylindrical equal-area projection (Lambert cylindrical equal-area, Gall-Peters, orBehrmann 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
cite journal
last=Tobler
first=Waldo
title=The hyperelliptical and other new pseudocylindrical equal area map projections
journal=Journal of Geophysical Research
volume=78
issue=11
pages=pp. 1753–1759
year=1973
doi=10.1029/JB078i011p01753
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