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The Behrmann projection with Tissot's indicatrices The Mercator projection with Tissot's indicatrices. In cartography, a Tissot's indicatrix (Tissot indicatrix, Tissot's ellipse, Tissot ellipse, ellipse of distortion) (plural: "Tissot's indicatrices") is a mathematical contrivance presented by French mathematician Nicolas Auguste Tissot in 1859 and 1871 in order to characterize local ...
[8] The legacy of Tissot’s method is still vivid today, as suggested by the authors of Map Projections for Europe, who argue that since Tissot’s famous analysis regarding distortion, the only major scientific development in the metric interpretation of deformation has been Eduard Imhof's Verzerrungsgitter, or deformation grid. [9]
Direct application of the orthographic projection yields scattered points in (x, y), which creates problems for plotting and numerical integration. One solution is to start from the ( x , y ) projection plane and construct the image from the values defined in ( λ , φ ) by using the inverse formulas of the orthographic projection.
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The sinusoidal projection with Tissot's indicatrix of deformation Jean Cossin, Carte cosmographique ou Universelle description du monde, Dieppe, 1570 The sinusoidal projection is a pseudocylindrical equal-area map projection , sometimes called the Sanson–Flamsteed or the Mercator equal-area projection .
Short title: Miller map of the world – coastlines, graticule, and indicatrices: Image title: A map of the world, showing all landmasses with 10° graticule and Tissot's indicatrices of diameter 1,000 km and spacing 30°.
English: Map of the world in a Behrmann cylindrical equal-area projection with Tissot's Indicatrices of deformation. Each red ellipse has a radius of 500 km. Français : Carte du monde suivant une projection cylindrique équivalente de Behrmann avec indicatrices de déformation de Tissot .