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Add documentation on block projection
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Wetitpig authored Sep 5, 2020
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Expand Up @@ -22,9 +22,10 @@ geodesic [-i file] [-o file] [-k precision] [-p problem] [-f projection] [-s] [-
* Inverse problem: Given 2 coordinates, evaluate the distance, the initial bearing and the final bearing.
* Polygon problem: Given a set of coordinates, evaluate the perimeter and area.

`-f [sphere|ellipsoid]` Select projection for evaluating the azimuths and distances.
* Sphere projection employs the haversine algorithm. Error is higher (error ~0.5%).
* Ellipsoid projection employs the Vincenty's algorithm. It is more resource-intensive (2x sphere projection).
`-f [sphere|ellipsoid|block]` Select projection for evaluating the azimuths and distances.
* Sphere projection employs the haversine algorithm and spherical triangle formula. Error is higher (error ~0.5%).
* Ellipsoid projection employs the Vincenty's algorithm with modifications by Charles Karney. It is more resource-intensive (2x sphere projection).
* Block projection means following parallels of latitude and meridians of longitude. For meridian arcs Bessel's series is implemented. All inputted coordinates should follow meridians of longitude and parallels of latitude.

`-s` Different computations for different problems.
* Distance between coordinates for inverse problems.
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3. [Geodetic Inverse Solution between Antinodal Points](https://geographiclib.sourceforge.io/geodesic-papers/vincenty75b.pdf)
4. [Determination of areas on the plane, sphere and ellipsoid](https://www.tandfonline.com/doi/abs/10.1179/sre.2006.38.301.583?journalCode=ysre20)
5. [Geodesics on an ellipsoid of revolution](https://arxiv.org/pdf/1102.1215.pdf)
6. [Meridian arc @ Wikipedia](https://en.wikipedia.org/wiki/Meridian_arc)

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