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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>JSDoc: Namespace: pkg_whit</title>
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<div id="main">
<h1 class="page-title">Namespace: pkg_whit</h1>
<section>
<header>
<h2>pkg_whit</h2>
</header>
<article>
<div class="container-overview">
<div class="description"><p>GEE Whittaker: Whittaker smoother for ImageCollection in GEE</p>
<p>Version 0.1.5, 2019-08-03</p>
<p><strong>References:</strong></p>
<ol>
<li>Kong, D., Zhang, Y., Gu, X., & Wang, D. (2019). A robust method
for reconstructing global MODIS EVI time series on the Google Earth Engine.
<em>ISPRS Journal of Photogrammetry and Remote Sensing</em>, <em>155</em>(May), 13–24.
https://doi.org/10.1016/j.isprsjprs.2019.06.014</li>
<li>Zhang, Y., Kong, D., Gan, R., Chiew, F.H.S., McVicar, T.R., Zhang, Q., and
Yang, Y.. (2019) Coupled estimation of 500m and 8-day resolution global
evapotranspiration and gross primary production in 2002-2017.
Remote Sens. Environ. 222, 165-182, https://doi:10.1016/j.rse.2018.12.031.</li>
</ol></div>
<dl class="details">
<dt class="tag-author">Author:</dt>
<dd class="tag-author">
<ul>
<li>Copyright (c) 2019 Dongdong Kong</li>
</ul>
</dd>
</dl>
</div>
<h3 class="subsection-title">Methods</h3>
<h4 class="name" id=".init_lambda"><span class="type-signature">(static) </span>init_lambda<span class="signature">(imgcol)</span><span class="type-signature"></span></h4>
<div class="description">
<hr>
<h3>Initial parameter lambda for whittaker</h3>
<p>The uncertainty of gee_Whittaker mainly roots in <code>init_lambda</code>.</p>
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>imgcol</code></td>
<td class="type">
<span class="param-type">ee.ImageCollection</span>
</td>
<td class="description last"><p>The input ee.ImageCollection should have
been processed with quality control.</p></td>
</tr>
</tbody>
</table>
<dl class="details">
</dl>
<h4 class="name" id=".wBisquare_array"><span class="type-signature">(static) </span>wBisquare_array<span class="signature">(re, w, wmin)</span><span class="type-signature"> → {ee.Image.<array>}</span></h4>
<div class="description">
<hr>
<h3>Bisquare weights updating function</h3>
<p>Modified weights of each points according to residual.
Suggest to replaced NA values with a fixed number such as ymin.
Otherwise, it will introduce a large number of missing values in fitting
result, for lowess, moving average, whittaker smoother and Savitzky-Golay
filter.</p>
<p>Robust weights are given by the bisquare function like lowess function</p>
<pre class="prettyprint source lang-matlab"><code>re = Ypred - Yobs; % residual
sc = 6 * median(abs(re)); % overall scale estimate
w = zeros(size(re));
I = re < sc & re > 0
% only decrease the weight of overestimated values
w(I) = ( 1 - (re(I)/sc).^2 ).^2; %NAvalues weighting will be zero
% overestimated outliers and weights less than wmin, set to wmin
w(w < wmin || re > sc) = wmin;
</code></pre>
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>re</code></td>
<td class="type">
<span class="param-type">ee.Image.<array></span>
</td>
<td class="description last"><p>residuals (predicted value - original value). re < 0
means those values are overestimated. In order to
approach upper envelope reasonably, we only decrease
the weight of overestimated points.</p></td>
</tr>
<tr>
<td class="name"><code>w</code></td>
<td class="type">
<span class="param-type">ee.Image.<array></span>
</td>
<td class="description last"><p>Original weights</p></td>
</tr>
<tr>
<td class="name"><code>wmin</code></td>
<td class="type">
<span class="param-type">Double</span>
</td>
<td class="description last"><p>Minimum weight in weights updating procedure.</p></td>
</tr>
</tbody>
</table>
<dl class="details">
</dl>
<h5>Returns:</h5>
<div class="param-desc">
<p>wnew New weights returned.</p>
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">ee.Image.<array></span>
</dd>
</dl>
<h4 class="name" id=".whit_imgcol"><span class="type-signature">(static) </span>whit_imgcol<span class="signature">(ImgCol, options, lambda, ylu)</span><span class="type-signature"> → {ee.Dictionary}</span></h4>
<div class="description">
<hr>
<h3>Whittaker Smoother for ImageCollection</h3>
</div>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>ImgCol</code></td>
<td class="type">
<span class="param-type">ImageCollection</span>
</td>
<td class="description last"><p>The Input time-series.</p></td>
</tr>
<tr>
<td class="name"><code>options</code></td>
<td class="type">
<span class="param-type">dictionary</span>
</td>
<td class="description last"><p>The default values:</p>
<ul>
<li>order : 2, // difference order</li>
<li>wFUN : wBisquare_array, // weigths updating function</li>
<li>iters : 3, // Whittaker iterations</li>
<li>min_A : 0.02, // Amplitude A = ylu_max - ylu_min, points are masked if
A < min_A.</li>
<li>min_ValidPerc: 0.3, // pixel valid percentage less then 30%, is not smoothed.</li>
<li>missing : -0.05 // Missing value in band_sm are set to missing.</li>
<li>method = 1; // whittaker, matrix solve option:
1:matrixSolve (suggested), 2:matrixCholeskyDecomposition, 3:matrixPseudoInverse</li>
</ul></td>
</tr>
<tr>
<td class="name"><code>lambda</code></td>
<td class="type">
<span class="param-type">Integer</span>
</td>
<td class="description last"><p>The smooth parameter, a large value mean much smoother.</p></td>
</tr>
<tr>
<td class="name"><code>ylu</code></td>
<td class="type">
<span class="param-type">ee.Image</span>
</td>
<td class="description last"><p>(optional) Low and upper boundary</p></td>
</tr>
</tbody>
</table>
<dl class="details">
</dl>
<h5>Returns:</h5>
<div class="param-desc">
<p>zs and ws</p>
</div>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">ee.Dictionary</span>
</dd>
</dl>
<h5>Example</h5>
<pre class="prettyprint"><code>https://code.earthengine.google.com/5700d398ddc900c3125a36ef22090447</code></pre>
</article>
</section>
</div>
<nav>
<h2><a href="index.html">Home</a></h2><h3>Namespaces</h3><ul><li><a href="pkg_export.html">pkg_export</a></li><li><a href="pkg_main.html">pkg_main</a></li><li><a href="pkg_mov.html">pkg_mov</a></li><li><a href="pkg_vis.html">pkg_vis</a></li><li><a href="pkg_whit.html">pkg_whit</a></li></ul><h3>Global</h3><ul><li><a href="global.html#addTimeBand">addTimeBand</a></li><li><a href="global.html#addYearProp">addYearProp</a></li><li><a href="global.html#array2imgcol">array2imgcol</a></li><li><a href="global.html#bands2imgcol">bands2imgcol</a></li><li><a href="global.html#getQABits">getQABits</a></li><li><a href="global.html#historyInterp">historyInterp</a></li><li><a href="global.html#img_setDate">img_setDate</a></li><li><a href="global.html#imgRegion">imgRegion</a></li><li><a href="global.html#LogGamma">LogGamma</a></li><li><a href="global.html#qc2bands">qc2bands</a></li><li><a href="global.html#replace_mask">replace_mask</a></li><li><a href="global.html#setweights">setweights</a></li><li><a href="global.html#zeroPad">zeroPad</a></li></ul>
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