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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.
[1] [2] It is a generalization of the much simpler azimuthal equidistant projection. In this two-point form, two locus points are chosen by the mapmaker to configure the projection. Distances from the two loci to any other point on the map are correct: that is, they scale to the distances of the same points on the sphere.
The Peirce quincuncial projection with Tissot's indicatrix of deformation. The Peirce quincuncial projection is the conformal map projection from the sphere to an unfolded square dihedron, developed by Charles Sanders Peirce in 1879. [1] Each octant projects onto an isosceles right triangle, and these are arranged into a square.
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6 Clearing up the math. 1 comment. 7 Tissot software demonstration video. 1 comment. 8 Maybe a wrong picture? 1 comment. ... 13 Tissot indicatrix at a singularity. 2 ...
The Cahill–Keyes projection with Tissot's indicatrix of deformation. Political World Map for CE 2012 by Duncan Webb using Cahill–Keyes projection. The Cahill–Keyes projection is a polyhedral compromise map projection first proposed by Gene Keyes in 1975. The projection is a refinement of an earlier 1909 projection by Bernard Cahill.