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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Tobler hyperelliptical projection ： ウィキペディア英語版 Tobler hyperelliptical projection The Tobler hyperelliptical projection is a family of equal-area pseudocylindrical projections that may be used for world maps. Waldo R. Tobler introduced the construction in 1973 as the ''hyperelliptical'' projection, now usually known as the Tobler hyperelliptical projection. ==Overview== As with any pseudocylindrical projection, in the projection’s normal aspect,〔(The Tobler Hyperelliptical Projection on the Center for Spatially Integrated Social Science's site )〕 the parallels of latitude are parallel, straight lines. Their spacing is calculated to provide the equal-area property. The projection blends the cylindrical equal-area projection with meridians of longitude that follow a particular kind of curve known as ''superellipses''〔("Superellipse" in MathWorld encyclopedia )〕 or Lamé curves or sometimes as hyperellipses. The curve is described by $x^k\; +\; y^k\; =\; \backslash gamma^k$. The relative weight of the cylindrical equal-area projection is given as ''α'', ranging from all cylindrical equal-area with ''α'' = 1 to all hyperellipses with ''α'' = 0. When ''α'' = 0 and ''k'' = 1 the projection degenerates to the Collignon projection; when ''α'' = 0, ''k'' = 2, and ''γ'' ≈ 1.2731 the projection becomes the Mollweide projection.〔 〕 Tobler favored the parameterization shown with the illustration; that is, ''α'' = 0, ''k'' = 2.5, and ''γ'' = 1.183136. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Tobler hyperelliptical projection」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.