mirror of
https://git.salome-platform.org/gitpub/modules/smesh.git
synced 2024-12-27 09:50:34 +05:00
47 lines
1.9 KiB
ReStructuredText
47 lines
1.9 KiB
ReStructuredText
.. _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 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 *Number of Layers* or *Distribution of Layers*
|
|
hypothesis.
|
|
|
|
.. image:: ../images/quad_from_ma_mesh.png
|
|
:align: center
|
|
|
|
.. centered::
|
|
A mesh of a river model (to the left) and of a ring-face (to the right)
|
|
|
|
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.)
|
|
|
|
.. image:: ../images/quad_from_ma_medial_axis.png
|
|
:align: center
|
|
|
|
.. centered::
|
|
Medial Axis between two blue sinuous borders
|
|
|
|
The Medial Axis is used in two ways:
|
|
|
|
#. 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.
|
|
#. 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 both borders to find positions of nodes.
|
|
|
|
.. image:: ../images/quad_from_ma_ring_mesh.png
|
|
:align: center
|
|
|
|
.. centered::
|
|
Mesh depends on defined sub-meshes: to the left - sub-meshes on both wires, to the right - a sub-mesh on internal wire only
|
|
|
|
|
|
**See Also** a sample TUI Script of a :ref:`tui_quad_ma_proj_algo`.
|
|
|