diff options
Diffstat (limited to 'operations/projections/eqc.html')
| -rw-r--r-- | operations/projections/eqc.html | 472 |
1 files changed, 472 insertions, 0 deletions
diff --git a/operations/projections/eqc.html b/operations/projections/eqc.html new file mode 100644 index 00000000..00054446 --- /dev/null +++ b/operations/projections/eqc.html @@ -0,0 +1,472 @@ +<!DOCTYPE html> +<html class="writer-html5" lang="en" > +<head> + <meta charset="utf-8" /><meta name="generator" content="Docutils 0.17.1: http://docutils.sourceforge.net/" /> + + <meta name="viewport" content="width=device-width, initial-scale=1.0" /> + <title>Equidistant Cylindrical (Plate Carrée) — PROJ 9.0.0 documentation</title> + <link rel="stylesheet" href="../../_static/pygments.css" type="text/css" /> + <link rel="stylesheet" href="../../_static/css/theme.css" type="text/css" /> + <link rel="shortcut icon" href="../../_static/favicon.png"/> + <link rel="canonical" href="https://proj.orgoperations/projections/eqc.html"/> + <!--[if lt IE 9]> + <script src="../../_static/js/html5shiv.min.js"></script> + <![endif]--> + + <script data-url_root="../../" id="documentation_options" src="../../_static/documentation_options.js"></script> + <script src="../../_static/jquery.js"></script> + <script src="../../_static/underscore.js"></script> + <script src="../../_static/doctools.js"></script> + <script async="async" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> + <script src="../../_static/js/theme.js"></script> + <link rel="author" title="About these documents" href="../../about.html" /> + <link rel="index" title="Index" href="../../genindex.html" /> + <link rel="search" title="Search" href="../../search.html" /> + <link rel="next" title="Equidistant Conic" href="eqdc.html" /> + <link rel="prev" title="Eckert VI" href="eck6.html" /> +</head> + +<body class="wy-body-for-nav"> + <div class="wy-grid-for-nav"> + <nav data-toggle="wy-nav-shift" class="wy-nav-side"> + <div class="wy-side-scroll"> + <div class="wy-side-nav-search" style="background: #353130" > + <a href="../../index.html"> + <img src="../../_static/logo.png" class="logo" alt="Logo"/> + </a> + <div class="version"> + 9.0.0 + </div> +<div role="search"> + <form id="rtd-search-form" class="wy-form" action="../../search.html" method="get"> + <input type="text" name="q" placeholder="Search docs" /> + <input type="hidden" name="check_keywords" value="yes" /> + <input type="hidden" name="area" value="default" /> + </form> +</div> + </div><div class="wy-menu wy-menu-vertical" data-spy="affix" role="navigation" aria-label="Navigation menu"> + <ul class="current"> +<li class="toctree-l1"><a class="reference internal" href="../../about.html">About</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../news.html">News</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../download.html">Download</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../install.html">Installation</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../usage/index.html">Using PROJ</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../apps/index.html">Applications</a></li> +<li class="toctree-l1 current"><a class="reference internal" href="../index.html">Coordinate operations</a><ul class="current"> +<li class="toctree-l2 current"><a class="reference internal" href="index.html">Projections</a><ul class="current"> +<li class="toctree-l3"><a class="reference internal" href="adams_hemi.html">Adams Hemisphere in a Square</a></li> +<li class="toctree-l3"><a class="reference internal" href="adams_ws1.html">Adams World in a Square I</a></li> +<li class="toctree-l3"><a class="reference internal" href="adams_ws2.html">Adams World in a Square II</a></li> +<li class="toctree-l3"><a class="reference internal" href="aea.html">Albers Equal Area</a></li> +<li class="toctree-l3"><a class="reference internal" href="aeqd.html">Azimuthal Equidistant</a></li> +<li class="toctree-l3"><a class="reference internal" href="airy.html">Airy</a></li> +<li class="toctree-l3"><a class="reference internal" href="aitoff.html">Aitoff</a></li> +<li class="toctree-l3"><a class="reference internal" href="alsk.html">Modified Stereographic of Alaska</a></li> +<li class="toctree-l3"><a class="reference internal" href="apian.html">Apian Globular I</a></li> +<li class="toctree-l3"><a class="reference internal" href="august.html">August Epicycloidal</a></li> +<li class="toctree-l3"><a class="reference internal" href="bacon.html">Bacon Globular</a></li> +<li class="toctree-l3"><a class="reference internal" href="bertin1953.html">Bertin 1953</a></li> +<li class="toctree-l3"><a class="reference internal" href="bipc.html">Bipolar conic of western hemisphere</a></li> +<li class="toctree-l3"><a class="reference internal" href="boggs.html">Boggs Eumorphic</a></li> +<li class="toctree-l3"><a class="reference internal" href="bonne.html">Bonne (Werner lat_1=90)</a></li> +<li class="toctree-l3"><a class="reference internal" href="calcofi.html">Cal Coop Ocean Fish Invest Lines/Stations</a></li> +<li class="toctree-l3"><a class="reference internal" href="cass.html">Cassini (Cassini-Soldner)</a></li> +<li class="toctree-l3"><a class="reference internal" href="cc.html">Central Cylindrical</a></li> +<li class="toctree-l3"><a class="reference internal" href="ccon.html">Central Conic</a></li> +<li class="toctree-l3"><a class="reference internal" href="cea.html">Equal Area Cylindrical</a></li> +<li class="toctree-l3"><a class="reference internal" href="chamb.html">Chamberlin Trimetric</a></li> +<li class="toctree-l3"><a class="reference internal" href="collg.html">Collignon</a></li> +<li class="toctree-l3"><a class="reference internal" href="col_urban.html">Colombia Urban</a></li> +<li class="toctree-l3"><a class="reference internal" href="comill.html">Compact Miller</a></li> +<li class="toctree-l3"><a class="reference internal" href="crast.html">Craster Parabolic (Putnins P4)</a></li> +<li class="toctree-l3"><a class="reference internal" href="denoy.html">Denoyer Semi-Elliptical</a></li> +<li class="toctree-l3"><a class="reference internal" href="eck1.html">Eckert I</a></li> +<li class="toctree-l3"><a class="reference internal" href="eck2.html">Eckert II</a></li> +<li class="toctree-l3"><a class="reference internal" href="eck3.html">Eckert III</a></li> +<li class="toctree-l3"><a class="reference internal" href="eck4.html">Eckert IV</a></li> +<li class="toctree-l3"><a class="reference internal" href="eck5.html">Eckert V</a></li> +<li class="toctree-l3"><a class="reference internal" href="eck6.html">Eckert VI</a></li> +<li class="toctree-l3 current"><a class="current reference internal" href="#">Equidistant Cylindrical (Plate Carrée)</a><ul> +<li class="toctree-l4"><a class="reference internal" href="#usage">Usage</a></li> +<li class="toctree-l4"><a class="reference internal" href="#parameters">Parameters</a></li> +<li class="toctree-l4"><a class="reference internal" href="#mathematical-definition">Mathematical definition</a></li> +<li class="toctree-l4"><a class="reference internal" href="#further-reading">Further reading</a></li> +</ul> +</li> +<li class="toctree-l3"><a class="reference internal" href="eqdc.html">Equidistant Conic</a></li> +<li class="toctree-l3"><a class="reference internal" href="eqearth.html">Equal Earth</a></li> +<li class="toctree-l3"><a class="reference internal" href="euler.html">Euler</a></li> +<li class="toctree-l3"><a class="reference internal" href="fahey.html">Fahey</a></li> +<li class="toctree-l3"><a class="reference internal" href="fouc.html">Foucaut</a></li> +<li class="toctree-l3"><a class="reference internal" href="fouc_s.html">Foucaut Sinusoidal</a></li> +<li class="toctree-l3"><a class="reference internal" href="gall.html">Gall (Gall Stereographic)</a></li> +<li class="toctree-l3"><a class="reference internal" href="geos.html">Geostationary Satellite View</a></li> +<li class="toctree-l3"><a class="reference internal" href="gins8.html">Ginsburg VIII (TsNIIGAiK)</a></li> +<li class="toctree-l3"><a class="reference internal" href="gn_sinu.html">General Sinusoidal Series</a></li> +<li class="toctree-l3"><a class="reference internal" href="gnom.html">Gnomonic</a></li> +<li class="toctree-l3"><a class="reference internal" href="goode.html">Goode Homolosine</a></li> +<li class="toctree-l3"><a class="reference internal" href="gs48.html">Modified Stereographic of 48 U.S.</a></li> +<li class="toctree-l3"><a class="reference internal" href="gs50.html">Modified Stereographic of 50 U.S.</a></li> +<li class="toctree-l3"><a class="reference internal" href="guyou.html">Guyou</a></li> +<li class="toctree-l3"><a class="reference internal" href="hammer.html">Hammer & Eckert-Greifendorff</a></li> +<li class="toctree-l3"><a class="reference internal" href="hatano.html">Hatano Asymmetrical Equal Area</a></li> +<li class="toctree-l3"><a class="reference internal" href="healpix.html">HEALPix</a></li> +<li class="toctree-l3"><a class="reference internal" href="rhealpix.html">rHEALPix</a></li> +<li class="toctree-l3"><a class="reference internal" href="igh.html">Interrupted Goode Homolosine</a></li> +<li class="toctree-l3"><a class="reference internal" href="igh_o.html">Interrupted Goode Homolosine (Oceanic View)</a></li> +<li class="toctree-l3"><a class="reference internal" href="imw_p.html">International Map of the World Polyconic</a></li> +<li class="toctree-l3"><a class="reference internal" href="isea.html">Icosahedral Snyder Equal Area</a></li> +<li class="toctree-l3"><a class="reference internal" href="kav5.html">Kavrayskiy V</a></li> +<li class="toctree-l3"><a class="reference internal" href="kav7.html">Kavrayskiy VII</a></li> +<li class="toctree-l3"><a class="reference internal" href="krovak.html">Krovak</a></li> +<li class="toctree-l3"><a class="reference internal" href="labrd.html">Laborde</a></li> +<li class="toctree-l3"><a class="reference internal" href="laea.html">Lambert Azimuthal Equal Area</a></li> +<li class="toctree-l3"><a class="reference internal" href="lagrng.html">Lagrange</a></li> +<li class="toctree-l3"><a class="reference internal" href="larr.html">Larrivee</a></li> +<li class="toctree-l3"><a class="reference internal" href="lask.html">Laskowski</a></li> +<li class="toctree-l3"><a class="reference internal" href="lcc.html">Lambert Conformal Conic</a></li> +<li class="toctree-l3"><a class="reference internal" href="lcca.html">Lambert Conformal Conic Alternative</a></li> +<li class="toctree-l3"><a class="reference internal" href="leac.html">Lambert Equal Area Conic</a></li> +<li class="toctree-l3"><a class="reference internal" href="lee_os.html">Lee Oblated Stereographic</a></li> +<li class="toctree-l3"><a class="reference internal" href="loxim.html">Loximuthal</a></li> +<li class="toctree-l3"><a class="reference internal" href="lsat.html">Space oblique for LANDSAT</a></li> +<li class="toctree-l3"><a class="reference internal" href="mbt_s.html">McBryde-Thomas Flat-Polar Sine (No. 1)</a></li> +<li class="toctree-l3"><a class="reference internal" href="mbt_fps.html">McBryde-Thomas Flat-Pole Sine (No. 2)</a></li> +<li class="toctree-l3"><a class="reference internal" href="mbtfpp.html">McBride-Thomas Flat-Polar Parabolic</a></li> +<li class="toctree-l3"><a class="reference internal" href="mbtfpq.html">McBryde-Thomas Flat-Polar Quartic</a></li> +<li class="toctree-l3"><a class="reference internal" href="mbtfps.html">McBryde-Thomas Flat-Polar Sinusoidal</a></li> +<li class="toctree-l3"><a class="reference internal" href="merc.html">Mercator</a></li> +<li class="toctree-l3"><a class="reference internal" href="mil_os.html">Miller Oblated Stereographic</a></li> +<li class="toctree-l3"><a class="reference internal" href="mill.html">Miller Cylindrical</a></li> +<li class="toctree-l3"><a class="reference internal" href="misrsom.html">Space oblique for MISR</a></li> +<li class="toctree-l3"><a class="reference internal" href="moll.html">Mollweide</a></li> +<li class="toctree-l3"><a class="reference internal" href="murd1.html">Murdoch I</a></li> +<li class="toctree-l3"><a class="reference internal" href="murd2.html">Murdoch II</a></li> +<li class="toctree-l3"><a class="reference internal" href="murd3.html">Murdoch III</a></li> +<li class="toctree-l3"><a class="reference internal" href="natearth.html">Natural Earth</a></li> +<li class="toctree-l3"><a class="reference internal" href="natearth2.html">Natural Earth II</a></li> +<li class="toctree-l3"><a class="reference internal" href="nell.html">Nell</a></li> +<li class="toctree-l3"><a class="reference internal" href="nell_h.html">Nell-Hammer</a></li> +<li class="toctree-l3"><a class="reference internal" href="nicol.html">Nicolosi Globular</a></li> +<li class="toctree-l3"><a class="reference internal" href="nsper.html">Near-sided perspective</a></li> +<li class="toctree-l3"><a class="reference internal" href="nzmg.html">New Zealand Map Grid</a></li> +<li class="toctree-l3"><a class="reference internal" href="ob_tran.html">General Oblique Transformation</a></li> +<li class="toctree-l3"><a class="reference internal" href="ocea.html">Oblique Cylindrical Equal Area</a></li> +<li class="toctree-l3"><a class="reference internal" href="oea.html">Oblated Equal Area</a></li> +<li class="toctree-l3"><a class="reference internal" href="omerc.html">Oblique Mercator</a></li> +<li class="toctree-l3"><a class="reference internal" href="ortel.html">Ortelius Oval</a></li> +<li class="toctree-l3"><a class="reference internal" href="ortho.html">Orthographic</a></li> +<li class="toctree-l3"><a class="reference internal" href="patterson.html">Patterson</a></li> +<li class="toctree-l3"><a class="reference internal" href="pconic.html">Perspective Conic</a></li> +<li class="toctree-l3"><a class="reference internal" href="peirce_q.html">Peirce Quincuncial</a></li> +<li class="toctree-l3"><a class="reference internal" href="poly.html">Polyconic (American)</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp1.html">Putnins P1</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp2.html">Putnins P2</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp3.html">Putnins P3</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp3p.html">Putnins P3’</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp4p.html">Putnins P4’</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp5.html">Putnins P5</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp5p.html">Putnins P5’</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp6.html">Putnins P6</a></li> +<li class="toctree-l3"><a class="reference internal" href="putp6p.html">Putnins P6’</a></li> +<li class="toctree-l3"><a class="reference internal" href="qua_aut.html">Quartic Authalic</a></li> +<li class="toctree-l3"><a class="reference internal" href="qsc.html">Quadrilateralized Spherical Cube</a></li> +<li class="toctree-l3"><a class="reference internal" href="robin.html">Robinson</a></li> +<li class="toctree-l3"><a class="reference internal" href="rouss.html">Roussilhe Stereographic</a></li> +<li class="toctree-l3"><a class="reference internal" href="rpoly.html">Rectangular Polyconic</a></li> +<li class="toctree-l3"><a class="reference internal" href="s2.html">S2</a></li> +<li class="toctree-l3"><a class="reference internal" href="sch.html">Spherical Cross-track Height</a></li> +<li class="toctree-l3"><a class="reference internal" href="sinu.html">Sinusoidal (Sanson-Flamsteed)</a></li> +<li class="toctree-l3"><a class="reference internal" href="somerc.html">Swiss Oblique Mercator</a></li> +<li class="toctree-l3"><a class="reference internal" href="stere.html">Stereographic</a></li> +<li class="toctree-l3"><a class="reference internal" href="sterea.html">Oblique Stereographic Alternative</a></li> +<li class="toctree-l3"><a class="reference internal" href="gstmerc.html">Gauss-Schreiber Transverse Mercator (aka Gauss-Laborde Reunion)</a></li> +<li class="toctree-l3"><a class="reference internal" href="tcc.html">Transverse Central Cylindrical</a></li> +<li class="toctree-l3"><a class="reference internal" href="tcea.html">Transverse Cylindrical Equal Area</a></li> +<li class="toctree-l3"><a class="reference internal" href="times.html">Times</a></li> +<li class="toctree-l3"><a class="reference internal" href="tissot.html">Tissot</a></li> +<li class="toctree-l3"><a class="reference internal" href="tmerc.html">Transverse Mercator</a></li> +<li class="toctree-l3"><a class="reference internal" href="tobmerc.html">Tobler-Mercator</a></li> +<li class="toctree-l3"><a class="reference internal" href="tpeqd.html">Two Point Equidistant</a></li> +<li class="toctree-l3"><a class="reference internal" href="tpers.html">Tilted perspective</a></li> +<li class="toctree-l3"><a class="reference internal" href="ups.html">Universal Polar Stereographic</a></li> +<li class="toctree-l3"><a class="reference internal" href="urm5.html">Urmaev V</a></li> +<li class="toctree-l3"><a class="reference internal" href="urmfps.html">Urmaev Flat-Polar Sinusoidal</a></li> +<li class="toctree-l3"><a class="reference internal" href="utm.html">Universal Transverse Mercator (UTM)</a></li> +<li class="toctree-l3"><a class="reference internal" href="vandg.html">van der Grinten (I)</a></li> +<li class="toctree-l3"><a class="reference internal" href="vandg2.html">van der Grinten II</a></li> +<li class="toctree-l3"><a class="reference internal" href="vandg3.html">van der Grinten III</a></li> +<li class="toctree-l3"><a class="reference internal" href="vandg4.html">van der Grinten IV</a></li> +<li class="toctree-l3"><a class="reference internal" href="vitk1.html">Vitkovsky I</a></li> +<li class="toctree-l3"><a class="reference internal" href="wag1.html">Wagner I (Kavrayskiy VI)</a></li> +<li class="toctree-l3"><a class="reference internal" href="wag2.html">Wagner II</a></li> +<li class="toctree-l3"><a class="reference internal" href="wag3.html">Wagner III</a></li> +<li class="toctree-l3"><a class="reference internal" href="wag4.html">Wagner IV</a></li> +<li class="toctree-l3"><a class="reference internal" href="wag5.html">Wagner V</a></li> +<li class="toctree-l3"><a class="reference internal" href="wag6.html">Wagner VI</a></li> +<li class="toctree-l3"><a class="reference internal" href="wag7.html">Wagner VII</a></li> +<li class="toctree-l3"><a class="reference internal" href="webmerc.html">Web Mercator / Pseudo Mercator</a></li> +<li class="toctree-l3"><a class="reference internal" href="weren.html">Werenskiold I</a></li> +<li class="toctree-l3"><a class="reference internal" href="wink1.html">Winkel I</a></li> +<li class="toctree-l3"><a class="reference internal" href="wink2.html">Winkel II</a></li> +<li class="toctree-l3"><a class="reference internal" href="wintri.html">Winkel Tripel</a></li> +</ul> +</li> +<li class="toctree-l2"><a class="reference internal" href="../conversions/index.html">Conversions</a></li> +<li class="toctree-l2"><a class="reference internal" href="../transformations/index.html">Transformations</a></li> +<li class="toctree-l2"><a class="reference internal" href="../pipeline.html">The pipeline operator</a></li> +<li class="toctree-l2"><a class="reference internal" href="../operations_computation.html">Computation of coordinate operations between two CRS</a></li> +</ul> +</li> +<li class="toctree-l1"><a class="reference internal" href="../../resource_files.html">Resource files</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../geodesic.html">Geodesic calculations</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../development/index.html">Development</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../specifications/index.html">Specifications</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../community/index.html">Community</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../faq.html">FAQ</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../glossary.html">Glossary</a></li> +<li class="toctree-l1"><a class="reference internal" href="../../zreferences.html">References</a></li> +</ul> + + </div> + </div> + </nav> + + <section data-toggle="wy-nav-shift" class="wy-nav-content-wrap"><nav class="wy-nav-top" aria-label="Mobile navigation menu" style="background: #353130" > + <i data-toggle="wy-nav-top" class="fa fa-bars"></i> + <a href="../../index.html">PROJ</a> + </nav> + + <div class="wy-nav-content"> + <div class="rst-content"> + <div role="navigation" aria-label="Page navigation"> + <ul class="wy-breadcrumbs"> + <li><a href="../../index.html" class="icon icon-home"></a> »</li> + <li><a href="../index.html">Coordinate operations</a> »</li> + <li><a href="index.html">Projections</a> »</li> + <li>Equidistant Cylindrical (Plate Carrée)</li> + <li class="wy-breadcrumbs-aside"> + <a href="https://github.com/OSGeo/PROJ/edit/8.2/docs/source/operations/projections/eqc.rst" class="fa fa-github"> Edit on GitHub</a> + </li> + </ul><div class="rst-breadcrumbs-buttons" role="navigation" aria-label="Sequential page navigation"> + <a href="eck6.html" class="btn btn-neutral float-left" title="Eckert VI" accesskey="p"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a> + <a href="eqdc.html" class="btn btn-neutral float-right" title="Equidistant Conic" accesskey="n">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a> + </div> + <hr/> +</div> + <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article"> + <div itemprop="articleBody"> + + <section id="equidistant-cylindrical-plate-carree"> +<span id="eqc"></span><h1>Equidistant Cylindrical (Plate Carrée)<a class="headerlink" href="#equidistant-cylindrical-plate-carree" title="Permalink to this headline">¶</a></h1> +<p>The simplest of all projections. Standard parallels (0° when omitted) may be specified that determine latitude of true scale (k=h=1).</p> +<table class="docutils align-default"> +<colgroup> +<col style="width: 27%" /> +<col style="width: 73%" /> +</colgroup> +<tbody> +<tr class="row-odd"><td><p><strong>Classification</strong></p></td> +<td><p>Conformal cylindrical</p></td> +</tr> +<tr class="row-even"><td><p><strong>Available forms</strong></p></td> +<td><p>Forward and inverse</p></td> +</tr> +<tr class="row-odd"><td><p><strong>Defined area</strong></p></td> +<td><p>Global, but best used near the equator</p></td> +</tr> +<tr class="row-even"><td><p><strong>Alias</strong></p></td> +<td><p>eqc</p></td> +</tr> +<tr class="row-odd"><td><p><strong>Domain</strong></p></td> +<td><p>2D</p></td> +</tr> +<tr class="row-even"><td><p><strong>Input type</strong></p></td> +<td><p>Geodetic coordinates</p></td> +</tr> +<tr class="row-odd"><td><p><strong>Output type</strong></p></td> +<td><p>Projected coordinates</p></td> +</tr> +</tbody> +</table> +<figure class="align-center" id="id2"> +<a class="reference internal image-reference" href="../../_images/eqc.png"><img alt="Equidistant Cylindrical (Plate Carrée)" src="../../_images/eqc.png" style="width: 500px;" /></a> +<figcaption> +<p><span class="caption-text">proj-string: <code class="docutils literal notranslate"><span class="pre">+proj=eqc</span></code></span><a class="headerlink" href="#id2" title="Permalink to this image">¶</a></p> +</figcaption> +</figure> +<section id="usage"> +<h2>Usage<a class="headerlink" href="#usage" title="Permalink to this headline">¶</a></h2> +<p>Because of the distortions introduced by this projection, it has little use in navigation or cadastral mapping and finds its main use in thematic mapping. +In particular, the plate carrée has become a standard for global raster datasets, such as Celestia and NASA World Wind, because of the particularly simple relationship between the position of an image pixel on the map and its corresponding geographic location on Earth.</p> +<p>The following table gives special cases of the cylindrical equidistant projection.</p> +<table class="docutils align-default"> +<colgroup> +<col style="width: 69%" /> +<col style="width: 31%" /> +</colgroup> +<thead> +<tr class="row-odd"><th class="head"><p>Projection Name</p></th> +<th class="head"><p>(lat ts=) <span class="math notranslate nohighlight">\(\phi_0\)</span></p></th> +</tr> +</thead> +<tbody> +<tr class="row-even"><td><p>Plain/Plane Chart</p></td> +<td><p>0°</p></td> +</tr> +<tr class="row-odd"><td><p>Simple Cylindrical</p></td> +<td><p>0°</p></td> +</tr> +<tr class="row-even"><td><p>Plate Carrée</p></td> +<td><p>0°</p></td> +</tr> +<tr class="row-odd"><td><p>Ronald Miller—minimum overall scale distortion</p></td> +<td><p>37°30′</p></td> +</tr> +<tr class="row-even"><td><p>E.Grafarend and A.Niermann</p></td> +<td><p>42°</p></td> +</tr> +<tr class="row-odd"><td><p>Ronald Miller—minimum continental scale distortion</p></td> +<td><p>43°30′</p></td> +</tr> +<tr class="row-even"><td><p>Gall Isographic</p></td> +<td><p>45°</p></td> +</tr> +<tr class="row-odd"><td><p>Ronald Miller Equirectangular</p></td> +<td><p>50°30′</p></td> +</tr> +<tr class="row-even"><td><p>E.Grafarend and A.Niermann minimum linear distortion</p></td> +<td><p>61°7′</p></td> +</tr> +</tbody> +</table> +<p>Example using EPSG 32662 (WGS84 Plate Carrée):</p> +<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>$ echo 2 47 | proj +proj=eqc +lat_ts=0 +lat_0=0 +lon_0=0 +x_0=0 +y_0=0 +ellps=WGS84 +units=m +222638.98 5232016.07 +</pre></div> +</div> +<p>Example using Plate Carrée projection with true scale at latitude 30° and central meridian 90°W:</p> +<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>$ echo -88 30 | proj +proj=eqc +lat_ts=30 +lon_0=90w +192811.01 3339584.72 +</pre></div> +</div> +</section> +<section id="parameters"> +<h2>Parameters<a class="headerlink" href="#parameters" title="Permalink to this headline">¶</a></h2> +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-lon_0"> +<span id="cmdoption-arg-lon-0"></span><span class="sig-name descname"><span class="pre">+lon_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-lon_0" title="Permalink to this definition">¶</a></dt> +<dd><p>Longitude of projection center.</p> +<p><em>Defaults to 0.0.</em></p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-lat_0"> +<span id="cmdoption-arg-lat-0"></span><span class="sig-name descname"><span class="pre">+lat_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-lat_0" title="Permalink to this definition">¶</a></dt> +<dd><p>Latitude of projection center.</p> +<p><em>Defaults to 0.0.</em></p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-lat_ts"> +<span id="cmdoption-arg-lat-ts"></span><span class="sig-name descname"><span class="pre">+lat_ts</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-lat_ts" title="Permalink to this definition">¶</a></dt> +<dd><p>Latitude of true scale. Defines the latitude where scale is not distorted. +Takes precedence over <code class="docutils literal notranslate"><span class="pre">+k_0</span></code> if both options are used together.</p> +<p><em>Defaults to 0.0.</em></p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-x_0"> +<span id="cmdoption-arg-x-0"></span><span class="sig-name descname"><span class="pre">+x_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-x_0" title="Permalink to this definition">¶</a></dt> +<dd><p>False easting.</p> +<p><em>Defaults to 0.0.</em></p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-y_0"> +<span id="cmdoption-arg-y-0"></span><span class="sig-name descname"><span class="pre">+y_0</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-y_0" title="Permalink to this definition">¶</a></dt> +<dd><p>False northing.</p> +<p><em>Defaults to 0.0.</em></p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-ellps"> +<span class="sig-name descname"><span class="pre">+ellps</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-ellps" title="Permalink to this definition">¶</a></dt> +<dd><p>The name of a built-in ellipsoid definition.</p> +<p>See <a class="reference internal" href="../../usage/ellipsoids.html#ellipsoids"><span class="std std-ref">Ellipsoids</span></a> for more information, or execute +<a class="reference internal" href="../../apps/proj.html#cmdoption-proj-le"><code class="xref std std-option docutils literal notranslate"><span class="pre">proj</span> <span class="pre">-le</span></code></a> for a list of built-in ellipsoid names.</p> +<p><em>Defaults to “GRS80”.</em></p> +</dd></dl> + +<dl class="std option"> +<dt class="sig sig-object std" id="cmdoption-arg-R"> +<span id="cmdoption-arg-r"></span><span class="sig-name descname"><span class="pre">+R</span></span><span class="sig-prename descclassname"><span class="pre">=<value></span></span><a class="headerlink" href="#cmdoption-arg-R" title="Permalink to this definition">¶</a></dt> +<dd><p>Radius of the sphere, given in meters. If used in conjunction with +<code class="docutils literal notranslate"><span class="pre">+ellps</span></code>, <a class="reference internal" href="../../usage/ellipsoids.html#cmdoption-arg-R"><code class="xref std std-option docutils literal notranslate"><span class="pre">+R</span></code></a> takes precedence.</p> +<p>See <a class="reference internal" href="../../usage/ellipsoids.html#ellipsoid-size-parameters"><span class="std std-ref">Ellipsoid size parameters</span></a> for more information.</p> +</dd></dl> + +</section> +<section id="mathematical-definition"> +<h2>Mathematical definition<a class="headerlink" href="#mathematical-definition" title="Permalink to this headline">¶</a></h2> +<p>The formulas describing the Equidistant Cylindrical projection are all taken from <span id="id1">[<a class="reference internal" href="../../zreferences.html#id37" title="Snyder, J. P. Map projections — A working manual. Professional Paper 1395, U.S. Geological Survey, 1987. doi:10.3133/pp1395.">Snyder1987</a>]</span>.</p> +<p><span class="math notranslate nohighlight">\(\phi_{ts}\)</span> is the latitude of true scale, that mean the standard parallels where the scale of the projection is true. It can be set with <code class="docutils literal notranslate"><span class="pre">+lat_ts</span></code>.</p> +<p><span class="math notranslate nohighlight">\(\phi_0\)</span> is the latitude of origin that match the center of the map. It can be set with <code class="docutils literal notranslate"><span class="pre">+lat_0</span></code>.</p> +<section id="forward-projection"> +<h3>Forward projection<a class="headerlink" href="#forward-projection" title="Permalink to this headline">¶</a></h3> +<div class="math notranslate nohighlight"> +\[x = \lambda \cos \phi_{ts}\]</div> +<div class="math notranslate nohighlight"> +\[y = \phi - \phi_0\]</div> +</section> +<section id="inverse-projection"> +<h3>Inverse projection<a class="headerlink" href="#inverse-projection" title="Permalink to this headline">¶</a></h3> +<div class="math notranslate nohighlight"> +\[\lambda = x / cos \phi_{ts}\]</div> +<div class="math notranslate nohighlight"> +\[\phi = y + \phi_0\]</div> +</section> +</section> +<section id="further-reading"> +<h2>Further reading<a class="headerlink" href="#further-reading" title="Permalink to this headline">¶</a></h2> +<ol class="arabic simple"> +<li><p><a class="reference external" href="https://en.wikipedia.org/wiki/Equirectangular_projection">Wikipedia</a></p></li> +<li><p><a class="reference external" href="http://mathworld.wolfram.com/CylindricalEquidistantProjection.html">Wolfram Mathworld</a></p></li> +</ol> +</section> +</section> + + + </div> + </div> + <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer"> + <a href="eck6.html" class="btn btn-neutral float-left" title="Eckert VI" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a> + <a href="eqdc.html" class="btn btn-neutral float-right" title="Equidistant Conic" accesskey="n" rel="next">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a> + </div> + + <hr/> + + <div role="contentinfo"> + <p>© Copyright 1983-2022. + <span class="lastupdated">Last updated on 22 Mar 2022. + </span></p> + </div> + + Built with <a href="https://www.sphinx-doc.org/">Sphinx</a> using a + <a href="https://github.com/readthedocs/sphinx_rtd_theme">theme</a> + provided by <a href="https://readthedocs.org">Read the Docs</a>. + + +</footer> + </div> + </div> + </section> + </div> + <script> + jQuery(function () { + SphinxRtdTheme.Navigation.enable(true); + }); + </script> + +</body> +</html>
\ No newline at end of file |