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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 ...
In the book, Tissot argued for his method, reportedly demonstrating that "whatever the system of transformation, there is at each point on the spherical surface at least one pair of orthogonal directions which will also be orthogonal on the projection." [5] Tissot employed a graphical device he called the ellipse indicatrice or distortion ...
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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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 ...
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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.