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Tissot's indicatrix helps illustrate map projection distortion - Esri
A single ellipse is called an “indicatrix”, and it shows the distortion at the point where it is centered.
www.esri.com
www.esri.com
Indicatrix - Wikipedia
Indicatrix may refer to: Differential geometry. edit · Dupin indicatrix, a conic section which describes the local shape of a surface; Tissot's indicatrix, ...
en.wikipedia.org
en.wikipedia.org
Tissot's indicatrix - Wikipedia
It is the geometry that results from projecting a circle of infinitesimal radius from a curved geometric model, such as a globe, onto a map.
en.wikipedia.org
en.wikipedia.org
indicatrix
indicatrix (ɪndɪˈkeɪtrɪks) [mod.L., fem. of indicator: see -trix. Cf. directrix.] 1. Geom. The curve in which a given surface is cut by a plane indefinitely near and parallel to the tangent-plane at any point; so called because it indicates the nature of the curvature of the surface at that point.18...
Oxford English Dictionary
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INDICATRIX Definition & Meaning - Merriam-Webster
The meaning of INDICATRIX is an ellipsoid whose axes are proportional to the principal refractive indices of a crystal and from which various optical ...
www.merriam-webster.com
www.merriam-webster.com
Indicatrix
Indicatrix Asserting coefficients and parameter scaling In travel demand modeling, it is somewhat common to “assert” coefficients rather than estimating them ...
indicatrix.org
indicatrix.org
Tissot indicatrices
The size, shape, and orientation of this ellipse (which is called an indicatrix) describes the spatial distortion at that location. By placing indicatrices at ...
www.geography.hunter.cuny.edu
www.geography.hunter.cuny.edu
Optic Indicatrix
The indicatrices are the representation of the values for "n" for all the directions of vibration of a crystal.
edafologia.ugr.es
edafologia.ugr.es
Tissot Indicatrix - Compare Map Projections
Tissot's Indicatrix is a method to visualize the distortions of a map projection. It was introduced in 1859 by the French mathematician Nicolas Auguste ...
map-projections.net
map-projections.net
Tissot's Indicatrix - mgimond.github.io
Nicolas Tissot's indicatrix is designed to quantify the level of distortion in a map projection. The idea is to project a small circle.
mgimond.github.io
mgimond.github.io
Tissot's indicatrix
1 day ago — It doesn't have Euler Spiral[1] either, but maybe that's expecting too much. [1] http://andersk.mit.edu/euler-spiral-projection/ · reply ...
news.ycombinator.com
Tangent indicatrix
In differential geometry, the tangent indicatrix of a closed space curve is a curve on the unit sphere intimately related to the curvature of the original Then the tangent indicatrix of is the closed curve on the unit sphere given by .
wikipedia.org
en.wikipedia.org
Curvature and Torsion of tangent indicatrix I'm trying to find the curvature and torsion of the tangent indicatrix of a curve with respect to the curvature and torsion of the initial curve, that is, if $\kappa, \tau$ ...
Actually, it's simple: $$\sigma' = \kappa N$$ $$\sigma'' = \kappa'N-\kappa^2T+\kappa\tau B$$ Thus $$\sigma' \times \sigma'' = \kappa^3B+\kappa^2\tau T$$
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Dupin indicatrix
In differential geometry, the Dupin indicatrix is a method for characterising the local shape of a surface. The indicatrix was introduced by Charles Dupin.
wikipedia.org
en.wikipedia.org
Problem understanding the indicatrix tangent definition I'm self studying differential geometry of curves and surfaces from a book that gives the following definition of indicatrix tangent: > Given an arc length para...
* For example, small wind forces shouldn't tear a string of hair
* So this indicatrix thing is just the tangent flow curve.
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