1 files changed, 59 insertions, 4 deletions
diff --git a/src/common/doc/main_page.md b/src/common/doc/main_page.md
index a33d98cd..9b7c2853 100644
--- a/src/common/doc/main_page.md
+++ b/src/common/doc/main_page.md
@@ -135,7 +135,7 @@
  </tr>
 </table>
 
-## Filtrations and reconstructions {#FiltrationsReconstructions}
+## Filtrations
 ### Alpha complex
 
 <table>
@@ -178,10 +178,10 @@
     The set of all simplices is filtered by the radius of their minimal enclosing ball.
     </td>
     <td width="15%">
-      <b>Author:</b> Vincent Rouvreau<br>
+      <b>Author:</b> Vincent Rouvreau, Hind Montassif<br>
       <b>Introduced in:</b> GUDHI 2.2.0<br>
-      <b>Copyright:</b> MIT [(GPL v3)](../../licensing/)<br>
-      <b>Includes:</b> [Miniball](https://people.inf.ethz.ch/gaertner/subdir/software/miniball.html)<br>
+      <b>Copyright:</b> MIT [(LGPL v3)](../../licensing/)<br>
+      <b>Requires:</b> \ref cgal
     </td>
  </tr>
  <tr>
@@ -217,6 +217,35 @@
  </tr>
 </table>
 
+### Edge collapse
+
+<table>
+  <tr>
+    <td width="35%" rowspan=2>
+      \image html "dominated_edge.png"
+    </td>
+    <td width="50%">
+    Edge collapse is able to reduce any flag filtration to a smaller flag filtration with the same persistence, using
+    only the 1-skeletons of a simplicial complex.
+    The reduction is exact and the persistence homology of the reduced sequence is identical to the persistence
+    homology of the input sequence. The resulting method is simple and extremely efficient.
+
+    Computation of edge collapse and persistent homology of a filtered flag complex via edge collapse as described in
+    \cite edgecollapsearxiv.
+    </td>
+    <td width="15%">
+      <b>Author:</b> Siddharth Pritam, Marc Glisse<br>
+      <b>Introduced in:</b> GUDHI 3.3.0<br>
+      <b>Copyright:</b> MIT
+    </td>
+ </tr>
+ <tr>
+    <td colspan=2 height="25">
+    <b>User manual:</b> \ref edge_collapse
+    </td>
+ </tr>
+</table>
+
 ### Witness complex
 
 <table>
@@ -268,6 +297,32 @@
  </tr>
 </table>
 
+## Manifold reconstructions
+### Coxeter triangulation
+
+<table>
+  <tr>
+    <td width="35%" rowspan=2>
+      \image html "manifold_tracing_on_custom_function_example.png"
+    </td>
+    <td width="50%">
+    Coxeter triangulation module is designed to provide tools for constructing a piecewise-linear approximation of an
+    \f$m\f$-dimensional smooth manifold embedded in \f$ \mathbb{R}^d \f$ using an ambient triangulation.
+    </td>
+    <td width="15%">
+      <b>Author:</b> Siargey Kachanovich<br>
+      <b>Introduced in:</b> GUDHI 3.4.0<br>
+      <b>Copyright:</b> MIT [(LGPL v3)](../../licensing/)<br>
+      <b>Requires:</b> \ref eigen &ge; 3.1.0
+    </td>
+ </tr>
+ <tr>
+    <td colspan=2 height="25">
+    <b>User manual:</b> \ref coxeter_triangulation
+    </td>
+ </tr>
+</table>
+
 ### Tangential complex
 
 <table>