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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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<title>Projection</title>
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<h2 title="Class Projection" class="title">Class Projection</h2>
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<ul class="inheritance">
<li><a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
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<dt>Direct Known Subclasses:</dt>
<dd><a href="../../PIRL/Image_Tools/Equirectangular_Projection.html" title="class in PIRL.Image_Tools">Equirectangular_Projection</a>, <a href="../../PIRL/Image_Tools/Polar_Stereographic_Elliptical_Projection.html" title="class in PIRL.Image_Tools">Polar_Stereographic_Elliptical_Projection</a>, <a href="../../PIRL/Image_Tools/Polar_Stereographic_Spherical_Projection.html" title="class in PIRL.Image_Tools">Polar_Stereographic_Spherical_Projection</a></dd>
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<pre>public class <span class="strong">Projection</span>
extends <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
<div class="block">A <i>Projection</i> is used to algorithmically map, or "project",
        from one image coordinate system to another while maintaining the
        spatial relationships of all coordinates.
<p>
        Spatial projections are used in many contexts. The typical example is
        when a camera image of curved surface is to be mapped as if the
        surface were flat. The commonly known Mercator projection of a map of
        the Earth is such a projection. There are many map projections. See
        Snyder, John P., "Map Projections - A Working Manual", U.S Geological
        Survey Professional Paper 1395, 1987 for a discussion of the map
        projection algorithm used in these classes.
<p>
        The core projection characteristic is an algorithm that maps
        coordinates from one coordinate system to another. The specific
        projection algorithms used - the implementation of a set of equations
        - will, of course, vary from one type of projection to another to
        achieve the desired mapping effect. In addition, the choice of
        projection is likey to depend on the range of coordinate values to be
        mapped - projections are likely to have increasing visual distortion
        effects as boundary conditions are approached - or the accuracy to be
        achieved - the implementing equations are like to make various
        simplifying assumptions. Nevertheless, all projections are expected
        to map coordinates between image and world coordinate systems. The
        former is in image pixel units of sample - horizontal distance from
        the left-most pixel - and and line - vertical distance from the
        top-most line - of a rectangular array of pixels. The latter is
        typically in planetary longitude - angular angular distance about the
        center of the planet relative to a zero-reference longitude - and
        latitude - angular angular distance about the center of the planet
        relative to the equator - usually measured in decimal degrees.
        However, other "world" coordinate systems are quite possible. In
        order to accommodate images of arbitrary location, an intermediate
        projeciton coordinate system is typically used by the projection
        equations, with a simple translational equation used to map between
        the projection coordinate system and the location of the image raster
        in that system.
<p>
        A specific projection, implemented as a subclass of Projection, will
        require various parameters need by the projection equations. These
        are supplied by a PVL Parameter Aggregate. Because this Projection
        implementation assumes that planetary projections are to be
        implemented by subclasses, the Parameter group used to construct a
        Projection collects the common set of parameter values required by
        the specific projection algorithms. If all the required parameters
        are not provided the default identity projection - in which
        coordinate values are not changed - is used.
<p></div>
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<h3>Field Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation">
<caption><span>Fields</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Field and Description</th>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Center_Latitude">Center_Latitude</a></strong></code>
<div class="block">Projection planetographic center latitude in radians.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#CENTER_LATITUDE_PARAMETER_NAME">CENTER_LATITUDE_PARAMETER_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Center_Longitude">Center_Longitude</a></strong></code>
<div class="block">Projection center longitude in radians.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#CENTER_LONGITUDE_PARAMETER_NAME">CENTER_LONGITUDE_PARAMETER_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#DBL_EPSILON">DBL_EPSILON</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#DEFAULT_NA">DEFAULT_NA</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#DEFAULT_USE_SPHERICAL">DEFAULT_USE_SPHERICAL</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Eccentricity">Eccentricity</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#EQUIRECTANGULAR_PROJECTION_NAME">EQUIRECTANGULAR_PROJECTION_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Equitorial_Radius">Equitorial_Radius</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#EQUITORIAL_RADIUS_PARAMETER_NAME">EQUITORIAL_RADIUS_PARAMETER_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#ID">ID</a></strong></code>
<div class="block">Class name and version identification.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Line_Offset">Line_Offset</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#LINE_OFFSET_PARAMETER_NAME">LINE_OFFSET_PARAMETER_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Meters_per_Pixel">Meters_per_Pixel</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#METERS_PER_PIXEL_PARAMETER_NAME">METERS_PER_PIXEL_PARAMETER_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#NA">NA</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#NOT_APPLICABLE_CONSTANT_PARAMETER_NAME">NOT_APPLICABLE_CONSTANT_PARAMETER_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected boolean</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Not_Identity">Not_Identity</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#PI_OVER_2">PI_OVER_2</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#PI_OVER_4">PI_OVER_4</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>protected boolean</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Planetocentric">Planetocentric</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#PLANETOCENTRIC_PROJECTION_NAME">PLANETOCENTRIC_PROJECTION_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Polar_Radius">Polar_Radius</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#POLAR_RADIUS_PARAMETER_NAME">POLAR_RADIUS_PARAMETER_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#POLAR_STEREOGRAPHIC_PROJECTION_NAME">POLAR_STEREOGRAPHIC_PROJECTION_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#POLARSTEREOGRAPHIC_PROJECTION_NAME">POLARSTEREOGRAPHIC_PROJECTION_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#POSITIVE_LONGITUDE_EAST_NAME">POSITIVE_LONGITUDE_EAST_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#POSITIVE_LONGITUDE_PARAMETER_NAME">POSITIVE_LONGITUDE_PARAMETER_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#POSITIVE_LONGITUDE_WEST_NAME">POSITIVE_LONGITUDE_WEST_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected boolean</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Positive_West">Positive_West</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#PROJECTION_LATITUDE_PARAMETER_NAME">PROJECTION_LATITUDE_PARAMETER_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#PROJECTION_PARAMETER_NAME">PROJECTION_PARAMETER_NAME</a></strong></code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Sample_Offset">Sample_Offset</a></strong></code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#SAMPLE_OFFSET_PARAMETER_NAME">SAMPLE_OFFSET_PARAMETER_NAME</a></strong></code>&nbsp;</td>
</tr>
</table>
</li>
</ul>
<!-- ======== CONSTRUCTOR SUMMARY ======== -->
<ul class="blockList">
<li class="blockList"><a name="constructor_summary">
<!--   -->
</a>
<h3>Constructor Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colOne" scope="col">Constructor and Description</th>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Projection()">Projection</a></strong>()</code>
<div class="block">Constructs a default identity Projection.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Projection(PIRL.PVL.Parameter)">Projection</a></strong>(<a href="../../PIRL/PVL/Parameter.html" title="class in PIRL.PVL">Parameter</a>&nbsp;parameters)</code>
<div class="block">Constructs a Projection from a Parameter Aggregate.</div>
</td>
</tr>
</table>
</li>
</ul>
<!-- ========== METHOD SUMMARY =========== -->
<ul class="blockList">
<li class="blockList"><a name="method_summary">
<!--   -->
</a>
<h3>Method Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Center_Latitude()">Center_Latitude</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Center_Longitude()">Center_Longitude</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../PIRL/Image_Tools/Projection.html" title="class in PIRL.Image_Tools">Projection</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Create(PIRL.PVL.Parameter)">Create</a></strong>(<a href="../../PIRL/PVL/Parameter.html" title="class in PIRL.PVL">Parameter</a>&nbsp;parameters)</code>
<div class="block">Creates a Projection object that uses an appropriate specific
        Projection subclass projection implementation.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Decimal_Degrees(java.lang.String)">Decimal_Degrees</a></strong>(<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;parts)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Degrees_Minutes_Seconds(double)">Degrees_Minutes_Seconds</a></strong>(double&nbsp;angle)</code>
<div class="block">Converts an angle in decimal degrees, to a degrees, minutes, seconds
        representation.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Eccentricity()">Eccentricity</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Eccentricity(double, double)">Eccentricity</a></strong>(double&nbsp;polar_radius,
            double&nbsp;equitorial_radius)</code>
<div class="block">Calculate the planet eccentricity.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Equitorial_Radius()">Equitorial_Radius</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected static <a href="../../PIRL/PVL/Parameter.html" title="class in PIRL.PVL">Parameter</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Find_Parameter(PIRL.PVL.Parameter, java.lang.String)">Find_Parameter</a></strong>(<a href="../../PIRL/PVL/Parameter.html" title="class in PIRL.PVL">Parameter</a>&nbsp;label,
              <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name)</code>
<div class="block">Find a named parameter in PDS label parameters.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Hours_Minutes_Seconds(double)">Hours_Minutes_Seconds</a></strong>(double&nbsp;angle)</code>
<div class="block">Converts an angle in decimal degrees, to an hours, minutes, seconds
        representation.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Is_Identity()">Is_Identity</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Line_Offset()">Line_Offset</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Line_to_Projection_Y(double)">Line_to_Projection_Y</a></strong>(double&nbsp;line)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Local_Radius(double)">Local_Radius</a></strong>(double&nbsp;latitude)</code>
<div class="block">Calculate the radius of the planet at some latitude.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static void</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#main(java.lang.String[])">main</a></strong>(<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>[]&nbsp;args)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Name()">Name</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Planetocentric_to_Planetographic(double)">Planetocentric_to_Planetographic</a></strong>(double&nbsp;latitude)</code>
<div class="block">Convert planetocentric latitude to planetographic latitude.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Planetocentric()">Planetocentric</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../PIRL/Image_Tools/Projection.html" title="class in PIRL.Image_Tools">Projection</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Planetocentric(boolean)">Planetocentric</a></strong>(boolean&nbsp;planetocentric)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Planetographic_to_Planetocentric(double)">Planetographic_to_Planetocentric</a></strong>(double&nbsp;latitude)</code>
<div class="block">Convert planetographic latitude to planetocentric latitude.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Polar_Radius()">Polar_Radius</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Positive_West()">Positive_West</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../PIRL/Image_Tools/Projection.html" title="class in PIRL.Image_Tools">Projection</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Positive_West(boolean)">Positive_West</a></strong>(boolean&nbsp;positive_west)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Projection_Class_Name(java.lang.String)">Projection_Class_Name</a></strong>(<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;projection_name)</code>
<div class="block">Produce a class name for a projection name.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Projection_X_to_Sample(double)">Projection_X_to_Sample</a></strong>(double&nbsp;projection_x)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Projection_Y_to_Line(double)">Projection_Y_to_Line</a></strong>(double&nbsp;projection_y)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Resolution()">Resolution</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Sample_Offset()">Sample_Offset</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Sample_to_Projection_X(double)">Sample_to_Projection_X</a></strong>(double&nbsp;sample)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#To_180(double)">To_180</a></strong>(double&nbsp;longitude)</code>
<div class="block">Ensure that a longitude value is in the range -180 to 180 degrees.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#To_360(double)">To_360</a></strong>(double&nbsp;longitude)</code>
<div class="block">Ensure that a longitude value is in the range 0 to 360 degrees.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="/usr/share/doc/default-jdk-doc/api/java/awt/Point.html?is-external=true" title="class or interface in java.awt">Point</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#to_Image(java.awt.geom.Point2D)">to_Image</a></strong>(<a href="/usr/share/doc/default-jdk-doc/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom">Point2D</a>&nbsp;world_coordinate)</code>
<div class="block">Get the image sample,line coordinate for a world longitude,latitude
        coordinate.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="/usr/share/doc/default-jdk-doc/api/java/awt/geom/Point2D.Double.html?is-external=true" title="class or interface in java.awt.geom">Point2D.Double</a></code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#to_World(java.awt.geom.Point2D)">to_World</a></strong>(<a href="/usr/share/doc/default-jdk-doc/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom">Point2D</a>&nbsp;image_coordinate)</code>
<div class="block">Get the world longitude,latitude coordinate for an image sample.line
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</td>
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<td class="colFirst"><code>static void</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Usage()">Usage</a></strong>()</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../PIRL/Image_Tools/Projection.html#Use_Spherical(boolean)">Use_Spherical</a></strong>(boolean&nbsp;enabled)</code>&nbsp;</td>
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<code><a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</a></code></li>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> ID</pre>
<div class="block">Class name and version identification.</div>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> PROJECTION_PARAMETER_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> EQUIRECTANGULAR_PROJECTION_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> POLAR_STEREOGRAPHIC_PROJECTION_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> POLARSTEREOGRAPHIC_PROJECTION_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> PROJECTION_LATITUDE_PARAMETER_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> PLANETOCENTRIC_PROJECTION_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> EQUITORIAL_RADIUS_PARAMETER_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> POLAR_RADIUS_PARAMETER_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> METERS_PER_PIXEL_PARAMETER_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> POSITIVE_LONGITUDE_PARAMETER_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> POSITIVE_LONGITUDE_EAST_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> POSITIVE_LONGITUDE_WEST_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> CENTER_LATITUDE_PARAMETER_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> CENTER_LONGITUDE_PARAMETER_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> SAMPLE_OFFSET_PARAMETER_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> LINE_OFFSET_PARAMETER_NAME</pre>
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<pre>public static final&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> NOT_APPLICABLE_CONSTANT_PARAMETER_NAME</pre>
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<pre>protected&nbsp;boolean Not_Identity</pre>
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<pre>protected&nbsp;boolean Positive_West</pre>
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<pre>protected&nbsp;boolean Planetocentric</pre>
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<pre>public static final&nbsp;double DEFAULT_NA</pre>
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<pre>protected&nbsp;double Meters_per_Pixel</pre>
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<pre>protected&nbsp;double Equitorial_Radius</pre>
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<pre>protected&nbsp;double Polar_Radius</pre>
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<pre>protected&nbsp;double NA</pre>
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<pre>protected&nbsp;double Center_Latitude</pre>
<div class="block">Projection planetographic center latitude in radians.</div>
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<pre>protected&nbsp;double Center_Longitude</pre>
<div class="block">Projection center longitude in radians.</div>
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<pre>protected&nbsp;double Sample_Offset</pre>
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<pre>protected&nbsp;double Line_Offset</pre>
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<pre>protected&nbsp;double Eccentricity</pre>
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<pre>public static final&nbsp;double PI_OVER_2</pre>
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<pre>public static final&nbsp;double PI_OVER_4</pre>
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<pre>public static final&nbsp;double DBL_EPSILON</pre>
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<pre>public static final&nbsp;boolean DEFAULT_USE_SPHERICAL</pre>
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<pre>public&nbsp;Projection(<a href="../../PIRL/PVL/Parameter.html" title="class in PIRL.PVL">Parameter</a>&nbsp;parameters)
           throws <a href="../../PIRL/PVL/PVL_Exception.html" title="class in PIRL.PVL">PVL_Exception</a></pre>
<div class="block">Constructs a Projection from a Parameter Aggregate.
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>parameters</code> - The Parameter Aggregate containing (at least) the
                minimally required parameter values. If all required parameters
                are not provided - including if the argument is null - the <a href="../../PIRL/Image_Tools/Projection.html#Is_Identity()"><code>identity projection flag</code></a> is set.</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../PIRL/PVL/PVL_Exception.html" title="class in PIRL.PVL">PVL_Exception</a></code> - If there is a problem reading the parameters
                or a parameter is found to have an invalid value.</dd></dl>
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<pre>public&nbsp;Projection()</pre>
<div class="block">Constructs a default identity Projection.
<p>
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<pre>public static&nbsp;<a href="../../PIRL/Image_Tools/Projection.html" title="class in PIRL.Image_Tools">Projection</a>&nbsp;Create(<a href="../../PIRL/PVL/Parameter.html" title="class in PIRL.PVL">Parameter</a>&nbsp;parameters)
                         throws <a href="../../PIRL/PVL/PVL_Exception.html" title="class in PIRL.PVL">PVL_Exception</a>,
                                <a href="/usr/share/doc/default-jdk-doc/api/java/util/NoSuchElementException.html?is-external=true" title="class or interface in java.util">NoSuchElementException</a>,
                                <a href="/usr/share/doc/default-jdk-doc/api/java/lang/UnsupportedOperationException.html?is-external=true" title="class or interface in java.lang">UnsupportedOperationException</a>,
                                <a href="/usr/share/doc/default-jdk-doc/api/java/lang/Throwable.html?is-external=true" title="class or interface in java.lang">Throwable</a></pre>
<div class="block">Creates a Projection object that uses an appropriate specific
        Projection subclass projection implementation.
<p>
        The choice of specific projection implementation is based on the
        value of the Parameter having the <a href="../../PIRL/Image_Tools/Projection.html#PROJECTION_PARAMETER_NAME"><code>PROJECTION_PARAMETER_NAME</code></a>.
        This name is used to assemble a <a href="../../PIRL/Image_Tools/Projection.html#Projection_Class_Name(java.lang.String)"><code>projection specific class name</code></a> to be loaded. Once loaded, a new
        instance is constructed using the parameters argument.
<p>
        As a special case, if the projection name is <a href="../../PIRL/Image_Tools/Projection.html#POLAR_STEREOGRAPHIC_PROJECTION_NAME"><code>POLAR_STEREOGRAPHIC_PROJECTION_NAME</code></a> the "_Spherical" suffix is
        appended if <a href="../../PIRL/Image_Tools/Projection.html#Use_Spherical(boolean)"><code>Use_Spherical(boolean)</code></a> is enabled so the faster but
        slightly less accurate spherical form of the projection will be used;
        otherwise the "_Elliptical" suffix is appended so the elliptical form
        will be used. Also, if the name is <a href="../../PIRL/Image_Tools/Projection.html#POLARSTEREOGRAPHIC_PROJECTION_NAME"><code>POLARSTEREOGRAPHIC_PROJECTION_NAME</code></a> it will be converted to the
        <a href="../../PIRL/Image_Tools/Projection.html#POLAR_STEREOGRAPHIC_PROJECTION_NAME"><code>POLAR_STEREOGRAPHIC_PROJECTION_NAME</code></a>
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>parameters</code> - The Parameter Aggregate containing the projection
                definition parameter values. These parameters will be passed to
                the specific projection class to be constructed. If null, not an
                Aggregate Parameter, or there is no <a href="../../PIRL/Image_Tools/Projection.html#PROJECTION_PARAMETER_NAME"><code>PROJECTION_PARAMETER_NAME</code></a> parameter a default Projection is
                constructed which will have the <a href="../../PIRL/Image_Tools/Projection.html#Is_Identity()"><code>identity
                projection flag</code></a> set.</dd>
<dt><span class="strong">Returns:</span></dt><dd>A Projection or Projection subclass, Object.</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../PIRL/PVL/PVL_Exception.html" title="class in PIRL.PVL">PVL_Exception</a></code> - If there is a problem reading the parameters
                or a parameter is found to have an invalid value.</dd>
<dd><code><a href="/usr/share/doc/default-jdk-doc/api/java/util/NoSuchElementException.html?is-external=true" title="class or interface in java.util">NoSuchElementException</a></code> - If any required parameter was missing
                from the provided parameters.</dd>
<dd><code><a href="/usr/share/doc/default-jdk-doc/api/java/lang/UnsupportedOperationException.html?is-external=true" title="class or interface in java.lang">UnsupportedOperationException</a></code> - If the expected Projection
                subclass could not be loaded or instantiated.</dd>
<dd><code><a href="/usr/share/doc/default-jdk-doc/api/java/lang/Throwable.html?is-external=true" title="class or interface in java.lang">Throwable</a></code> - If the constructor of the loaded projection class
                throws an unexpected exception.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../PIRL/Image_Tools/Equirectangular_Projection.html" title="class in PIRL.Image_Tools"><code>Equirectangular_Projection</code></a>, 
<a href="../../PIRL/Image_Tools/Polar_Stereographic_Elliptical_Projection.html" title="class in PIRL.Image_Tools"><code>Polar_Stereographic_Elliptical_Projection</code></a>, 
<a href="../../PIRL/Image_Tools/Polar_Stereographic_Spherical_Projection.html" title="class in PIRL.Image_Tools"><code>Polar_Stereographic_Spherical_Projection</code></a></dd></dl>
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<pre>public&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;Name()</pre>
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<pre>public&nbsp;boolean&nbsp;Is_Identity()</pre>
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<h4>Resolution</h4>
<pre>public&nbsp;double&nbsp;Resolution()</pre>
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<h4>Equitorial_Radius</h4>
<pre>public&nbsp;double&nbsp;Equitorial_Radius()</pre>
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<pre>public&nbsp;double&nbsp;Polar_Radius()</pre>
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<pre>public&nbsp;double&nbsp;Eccentricity()</pre>
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<pre>public&nbsp;double&nbsp;Sample_Offset()</pre>
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<pre>public&nbsp;double&nbsp;Line_Offset()</pre>
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<pre>public&nbsp;boolean&nbsp;Positive_West()</pre>
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<pre>public&nbsp;<a href="../../PIRL/Image_Tools/Projection.html" title="class in PIRL.Image_Tools">Projection</a>&nbsp;Positive_West(boolean&nbsp;positive_west)</pre>
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<pre>public&nbsp;boolean&nbsp;Planetocentric()</pre>
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<pre>public&nbsp;<a href="../../PIRL/Image_Tools/Projection.html" title="class in PIRL.Image_Tools">Projection</a>&nbsp;Planetocentric(boolean&nbsp;planetocentric)</pre>
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<pre>public&nbsp;double&nbsp;Center_Latitude()</pre>
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<pre>public&nbsp;double&nbsp;Center_Longitude()</pre>
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<pre>public static&nbsp;boolean&nbsp;Use_Spherical(boolean&nbsp;enabled)</pre>
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<a name="to_World(java.awt.geom.Point2D)">
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<pre>public&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/awt/geom/Point2D.Double.html?is-external=true" title="class or interface in java.awt.geom">Point2D.Double</a>&nbsp;to_World(<a href="/usr/share/doc/default-jdk-doc/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom">Point2D</a>&nbsp;image_coordinate)</pre>
<div class="block">Get the world longitude,latitude coordinate for an image sample.line
        coordinate.
<p>
        This method simply returns a copy of the coordinate argument. A
        projection specific subclass will override this method.
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>image_coordinate</code> - The image sample,line coordinate.</dd>
<dt><span class="strong">Returns:</span></dt><dd>A copy of the image_coordinate.</dd></dl>
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<pre>public&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/awt/Point.html?is-external=true" title="class or interface in java.awt">Point</a>&nbsp;to_Image(<a href="/usr/share/doc/default-jdk-doc/api/java/awt/geom/Point2D.html?is-external=true" title="class or interface in java.awt.geom">Point2D</a>&nbsp;world_coordinate)</pre>
<div class="block">Get the image sample,line coordinate for a world longitude,latitude
        coordinate.
<p>
        This method simply returns a copy of the coordinate argument. A
        projection specific subclass will override this method.
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>world_coordinate</code> - The world longitude,latitude coordinate.</dd>
<dt><span class="strong">Returns:</span></dt><dd>A copy of the world_coordinate.</dd></dl>
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<pre>public static&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;Degrees_Minutes_Seconds(double&nbsp;angle)</pre>
<div class="block">Converts an angle in decimal degrees, to a degrees, minutes, seconds
        representation.
<p>
        The format of the degrees, minutes, seconds String representation is:
<p><blockquote>
        DDDd MMm SS.SSSs
</blockquote>
        where DDD is integer degrees, MM is integer minutes in the range 0 to
        59, and SS.SSS is seconds with fractional seconds in the range 0.0 to
        59.999 For example, 206.291 degrees is represented as "206d 17m
        27.600s". <b>N.B.</b>: A fixed field format is used in which leading
        spaces and trailing zeros are used to each value occurs at a specific
        location in the String representation.
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>angle</code> - The angle in degrees to be represented.</dd>
<dt><span class="strong">Returns:</span></dt><dd>The String representation.</dd></dl>
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<h4>Hours_Minutes_Seconds</h4>
<pre>public static&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;Hours_Minutes_Seconds(double&nbsp;angle)</pre>
<div class="block">Converts an angle in decimal degrees, to an hours, minutes, seconds
        representation.
<p>
        The format of the hours, minutes, seconds String representation is:
<p><blockquote>
        HHh MMm SS.SSSs
</blockquote>
        where HH is integer hours in the range 0 to 24, MM is integer minutes
        in the range 0 to 59, and SS.SSS is seconds with fractional seconds
        in the range 0.0 to 59.999 For example, 206.291 degrees is
        represented as "13h 45m  9.840s". <b>N.B.</b>: A fixed field format
        is used in which leading spaces and trailing zeros are used to each
        value occurs at a specific location in the String representation.
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>angle</code> - The angle in degrees to be represented.</dd>
<dt><span class="strong">Returns:</span></dt><dd>The String representation.</dd></dl>
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<h4>Decimal_Degrees</h4>
<pre>public static&nbsp;double&nbsp;Decimal_Degrees(<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;parts)
                              throws <a href="/usr/share/doc/default-jdk-doc/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a>,
                                     <a href="/usr/share/doc/default-jdk-doc/api/java/lang/NumberFormatException.html?is-external=true" title="class or interface in java.lang">NumberFormatException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="/usr/share/doc/default-jdk-doc/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code></dd>
<dd><code><a href="/usr/share/doc/default-jdk-doc/api/java/lang/NumberFormatException.html?is-external=true" title="class or interface in java.lang">NumberFormatException</a></code></dd></dl>
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<pre>public&nbsp;double&nbsp;Planetocentric_to_Planetographic(double&nbsp;latitude)</pre>
<div class="block">Convert planetocentric latitude to planetographic latitude.
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>latitude</code> - The latitude, in radians, to convert.</dd>
<dt><span class="strong">Returns:</span></dt><dd>The converted latitude value.</dd></dl>
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<pre>public&nbsp;double&nbsp;Planetographic_to_Planetocentric(double&nbsp;latitude)</pre>
<div class="block">Convert planetographic latitude to planetocentric latitude.
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>latitude</code> - The latitude, in radians, to convert.</dd>
<dt><span class="strong">Returns:</span></dt><dd>The converted latitude value.</dd></dl>
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<pre>protected&nbsp;double&nbsp;Projection_X_to_Sample(double&nbsp;projection_x)</pre>
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<pre>protected&nbsp;double&nbsp;Projection_Y_to_Line(double&nbsp;projection_y)</pre>
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<pre>protected&nbsp;double&nbsp;Sample_to_Projection_X(double&nbsp;sample)</pre>
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<pre>protected&nbsp;double&nbsp;Line_to_Projection_Y(double&nbsp;line)</pre>
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<h4>Eccentricity</h4>
<pre>public static&nbsp;double&nbsp;Eccentricity(double&nbsp;polar_radius,
                  double&nbsp;equitorial_radius)</pre>
<div class="block">Calculate the planet eccentricity.
<p><blockquote>
        E = sqrt (1 - polar_radius**2 / equitorial_radius**2)
</blockquote>
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>equitorial_radius</code> - The planet equitorial radius.</dd><dd><code>polar_radius</code> - The planet polar radius.</dd>
<dt><span class="strong">Returns:</span></dt><dd>The planet eccentricity.</dd></dl>
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<pre>public&nbsp;double&nbsp;Local_Radius(double&nbsp;latitude)</pre>
<div class="block">Calculate the radius of the planet at some latitude.
<p><blockquote>
        R = Re * Rp / sqrt (a**2 + b**2)
</blockquote>
        where:
<p><blockquote>
        Re = <a href="../../PIRL/Image_Tools/Projection.html#Equitorial_Radius()"><code>Equitorial_Radius</code></a>
        Rp = <a href="../../PIRL/Image_Tools/Projection.html#Polar_Radius()"><code>Polar_Radius</code></a>
        a = Re * sin (latitude)<br>
        b = Rp * cos (latitude)
</blockquote>
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>latitude</code> - The latitude, in radians, at which the local
                radius is to be calculated.</dd>
<dt><span class="strong">Returns:</span></dt><dd>The radius of the planet at the specified latitude.</dd></dl>
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<pre>public static&nbsp;double&nbsp;To_360(double&nbsp;longitude)</pre>
<div class="block">Ensure that a longitude value is in the range 0 to 360 degrees.
<p>
        A negative longitude value is repeatedly increased by 360 until
        it is no longer negative. A longitude value greater than or equal to 360
        is repeatedly decreased by 360 until it is less than 360.
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>longitude</code> - The longitude value to map to the 0 to 360 degree
                domain.</dd>
<dt><span class="strong">Returns:</span></dt><dd>The longitude value in the 0-360 degree domain.</dd></dl>
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<pre>public static&nbsp;double&nbsp;To_180(double&nbsp;longitude)</pre>
<div class="block">Ensure that a longitude value is in the range -180 to 180 degrees.
<p>
        A longitude value less than -180 is repeatedly increased by 360 until
        it is greater than or equal to -180. A longitude value greater than
        or equal to 180 is repeatedly decreased by 360 until it is less than
        180.
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>longitude</code> - The longitude value to map to the -180 to 180
                degree domain.</dd>
<dt><span class="strong">Returns:</span></dt><dd>The longitude value in the -180 to 180 degree domain.</dd></dl>
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<h4>Projection_Class_Name</h4>
<pre>public static&nbsp;<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;Projection_Class_Name(<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;projection_name)</pre>
<div class="block">Produce a class name for a projection name.
<p>
        The projection name is first trimmed of leading and trailing
        whitespace and all characters are set to lowercase. If the result
        starts with "polar" but is not followed by a space (' ') or underbar
        ('_') character an underbar is inserted following the "polar" prefix.
        Then any remaining space characters are changed to '_' characters.
        The first character and every character following an underbar
        character is set to uppercase. Finally the "_Projection" String is
        appended.
<p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>projection_name</code> - The projection name String.</dd>
<dt><span class="strong">Returns:</span></dt><dd>The class name String.</dd></dl>
</li>
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<h4>Find_Parameter</h4>
<pre>protected static&nbsp;<a href="../../PIRL/PVL/Parameter.html" title="class in PIRL.PVL">Parameter</a>&nbsp;Find_Parameter(<a href="../../PIRL/PVL/Parameter.html" title="class in PIRL.PVL">Parameter</a>&nbsp;label,
                       <a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name)
                                   throws <a href="/usr/share/doc/default-jdk-doc/api/java/util/NoSuchElementException.html?is-external=true" title="class or interface in java.util">NoSuchElementException</a></pre>
<div class="block">Find a named parameter in PDS label parameters.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>label</code> - The PDS label parameters.</dd><dd><code>name</code> - The name of the parameter to find.</dd>
<dt><span class="strong">Returns:</span></dt><dd>The Parameter that was found.</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="/usr/share/doc/default-jdk-doc/api/java/util/NoSuchElementException.html?is-external=true" title="class or interface in java.util">NoSuchElementException</a></code> - If the parameter was not found.</dd></dl>
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<h4>main</h4>
<pre>public static&nbsp;void&nbsp;main(<a href="/usr/share/doc/default-jdk-doc/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>[]&nbsp;args)</pre>
</li>
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<h4>Usage</h4>
<pre>public static&nbsp;void&nbsp;Usage()</pre>
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