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@@ -26,8 +26,23 @@ <h1 class="title">Package <code>sleplet</code></h1>
 <!-- markdownlint-disable MD041 -->
 <p>Documentation of the <code>SLEPLET</code> package. The
 <a href="#header-submodules">API documentation</a> <!-- markdownlint-disable MD051 -->
-is included at the end of this page. See
-<a href="https://pypi.org/project/sleplet">PyPI</a> for more details.</p>
+is included at the end of this page.</p>
+<h2 id="background">Background</h2>
+<p>Many fields in science and engineering measure data that inherently live on
+non-Euclidean geometries, such as the sphere. Techniques developed in the
+Euclidean setting must be extended to other geometries. Due to recent interest
+in geometric deep learning, analogues of Euclidean techniques must also handle
+general manifolds or graphs. Often, data are only observed over partial regions
+of manifolds, and thus standard whole-manifold techniques may not yield accurate
+predictions.</p>
+<p>Slepian wavelets are built upon the eigenfunctions of the Slepian concentration
+problem of the manifold - a set of bandlimited functions which are maximally
+concentrated within a given region. Wavelets are constructed through a tiling of
+the Slepian harmonic line by leveraging the existing scale-discretised framework.
+A straightforward denoising formalism demonstrates a boost in signal-to-noise
+for both a spherical and general manifold example. Whilst these wavelets were
+inspired by spherical datasets, like in cosmology, the wavelet construction may
+be utilised for manifold or graph data.</p>
 <h2 id="bandlimit">Bandlimit</h2>
 <p>The bandlimit is set as <code>L</code> throughout the code and the CLIs. The default value
 is set to <code>L=16</code> and the figures created in <a href="#paper-figures">the figure section</a>
@@ -1090,6 +1105,7 @@ <h2 class="section-title" id="header-submodules">Sub-modules</h2>
 <h1>Index</h1>
 <div class="toc">
 <ul>
+<li><a href="#background">Background</a></li>
 <li><a href="#bandlimit">Bandlimit</a></li>
 <li><a href="#environment-variables">Environment Variables</a></li>
 <li><a href="#paper-figures">Paper Figures</a><ul>