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Expand Down Expand Up @@ -491,6 +491,53 @@ <h1>Source code for geomstats.geometry.discrete_curves</h1><div class="highlight



<div class="viewcode-block" id="DiscreteCurves">
<a class="viewcode-back" href="../../../api/geomstats.geometry.html#geomstats.geometry.discrete_curves.DiscreteCurves">[docs]</a>
<span class="k">class</span> <span class="nc">DiscreteCurves</span><span class="p">:</span>
<span class="w"> </span><span class="sd">&quot;&quot;&quot;Space of discrete curves.&quot;&quot;&quot;</span>

<span class="k">def</span> <span class="fm">__new__</span><span class="p">(</span>
<span class="bp">self</span><span class="p">,</span> <span class="n">ambient_dim</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">k_sampling_points</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span> <span class="n">starting_at_origin</span><span class="o">=</span><span class="kc">True</span><span class="p">,</span> <span class="n">equip</span><span class="o">=</span><span class="kc">True</span>
<span class="p">):</span>
<span class="w"> </span><span class="sd">&quot;&quot;&quot;Instantiate discrete curves.</span>

<span class="sd"> If `starting_at_origin=True`, instantiates discrete curves modulo translations</span>
<span class="sd"> eventually equipped with an elastic metric.</span>

<span class="sd"> If `starting_at_origin=False`, instantiates discrete curves</span>
<span class="sd"> eventually equipped with an L2 metric.</span>

<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> ambient_dim : int</span>
<span class="sd"> Dimension of the ambient Euclidean space in which curves take values.</span>
<span class="sd"> k_sampling_points : int</span>
<span class="sd"> Number of sampling points.</span>
<span class="sd"> starting_at_origin : bool</span>
<span class="sd"> If rotations are quotiented out.</span>
<span class="sd"> equip : bool</span>
<span class="sd"> If True, equip space with default metric.</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="k">if</span> <span class="n">starting_at_origin</span><span class="p">:</span>
<span class="k">return</span> <span class="n">DiscreteCurvesStartingAtOrigin</span><span class="p">(</span>
<span class="n">ambient_dim</span><span class="o">=</span><span class="n">ambient_dim</span><span class="p">,</span>
<span class="n">k_sampling_points</span><span class="o">=</span><span class="n">k_sampling_points</span><span class="p">,</span>
<span class="n">equip</span><span class="o">=</span><span class="n">equip</span><span class="p">,</span>
<span class="p">)</span>

<span class="n">ambient_manifold</span> <span class="o">=</span> <span class="n">Euclidean</span><span class="p">(</span><span class="n">ambient_dim</span><span class="p">)</span>
<span class="n">space</span> <span class="o">=</span> <span class="n">Landmarks</span><span class="p">(</span>
<span class="n">ambient_manifold</span><span class="o">=</span><span class="n">ambient_manifold</span><span class="p">,</span>
<span class="n">k_landmarks</span><span class="o">=</span><span class="n">k_sampling_points</span><span class="p">,</span>
<span class="n">equip</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span>
<span class="p">)</span>
<span class="k">if</span> <span class="n">equip</span><span class="p">:</span>
<span class="n">space</span><span class="o">.</span><span class="n">equip_with_metric</span><span class="p">(</span><span class="n">L2CurvesMetric</span><span class="p">)</span>

<span class="k">return</span> <span class="n">space</span></div>



<div class="viewcode-block" id="DiscreteCurvesStartingAtOrigin">
<a class="viewcode-back" href="../../../api/geomstats.geometry.html#geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin">[docs]</a>
<span class="k">class</span> <span class="nc">DiscreteCurvesStartingAtOrigin</span><span class="p">(</span><span class="n">NFoldManifold</span><span class="p">):</span>
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<link rel="search" title="Search" href="../../../search.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 11:15:50 AM"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 3:30:32 PM"/>
</head>


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2 changes: 1 addition & 1 deletion _modules/geomstats/geometry/lie_algebra.html
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<link rel="search" title="Search" href="../../../search.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 11:15:50 AM"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 3:30:32 PM"/>
</head>


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2 changes: 1 addition & 1 deletion _modules/geomstats/geometry/lie_group.html
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<link rel="search" title="Search" href="../../../search.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 11:15:50 AM"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 3:30:32 PM"/>
</head>


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2 changes: 1 addition & 1 deletion _modules/geomstats/geometry/lower_triangular_matrices.html
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<link rel="search" title="Search" href="../../../search.html" />
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<meta name="docsearch:language" content="en"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 11:15:50 AM"/>
<meta name="docbuild:last-update" content="Jun 13, 2024, 3:30:32 PM"/>
</head>


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