\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. The algorithm can be also applied to faces with ring
+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>
\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. (Shape of quadrangles can be not perfect at
locations where opposite sides of a 'channel' are far from being parallel.)
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 1D hypothesis assigned to the face or its ancestor shapes,
- and the division points are mapped from the Medial Axis to the both
+ and the division points are mapped from the Medial Axis to both
borders to find positions of nodes.</li>
</ol>
