\page quad_from_ma_algo_page Medial Axis Projection Quadrangle meshing algorithm
Medial Axis Projection algorithm can be used for meshing faces with
-sinuous borders and having channel-like shape, for which is it
-difficult to define 1D hypotheses so that generated quadrangles to be
-of good shape.
+sinuous borders and a channel-like shape, for which it can be
+difficult to define 1D hypotheses such that to obtain a good shape of
+resulting quadrangles. The algorithm can be also applied to faces with ring
+topology, which can be viewed as a closed 'channel'. In the latter
+case radial discretization of a ring can be specified by
+using <em>Number of Layers</em> or <em>Distribution of Layers</em>
+hypothesis.
-\image html quad_from_ma_mesh.png "A mesh of a river model"
+\image html quad_from_ma_mesh.png "A mesh of a river model to the left and of a ring-face to the right"
-The algorithm assures good shape of quadrangles by constructing Medial
+The algorithm provides proper shape of quadrangles by constructing Medial
Axis between sinuous borders of the face and using it to
-discretize the borders.
+discretize the borders. (Shape of quadrangles can be not perfect at
+locations where opposite sides of a 'channel' are far from being parallel.)
\image html quad_from_ma_medial_axis.png "Medial Axis between two blue sinuous borders"
The Medial Axis is used in two ways:
<ol>
-<li>If there is a sub-mesh on either sinuous border, then the nodes of
+<li>If there is a sub-mesh on a sinuous border, then the nodes of
this border are mapped to the opposite border via the Medial
Axis.</li>
-<li> If there is no sub-meshes on the sinuous borders, then a part of
+<li> If there are no sub-meshes on sinuous borders, then the part of
the Medial Axis that can be mapped to both borders is discretized
- using a hypothesis assigned to the face or its ancestor shapes,
- and the division points are mapped from the Medial Axis to the both
- borders.</li>
+ using a 1D hypothesis assigned to the face or its ancestor shapes,
+ and the division points are mapped from the Medial Axis to both
+ borders to find positions of nodes.</li>
</ol>
*/
