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Diffstat (limited to 'src/cython/doc/alpha_complex_user.rst')
| -rw-r--r-- | src/cython/doc/alpha_complex_user.rst | 16 |
1 files changed, 10 insertions, 6 deletions
diff --git a/src/cython/doc/alpha_complex_user.rst b/src/cython/doc/alpha_complex_user.rst index 1ca96b6e..f1c57248 100644 --- a/src/cython/doc/alpha_complex_user.rst +++ b/src/cython/doc/alpha_complex_user.rst @@ -74,11 +74,13 @@ Data structure In order to build the alpha complex, first, a Simplex tree is built from the cells of a Delaunay Triangulation. (The filtration value is set to NaN, which stands for unknown value): -.. image:: +.. figure:: img/alpha_complex_doc.png - :align: center + :figclass: align-center :alt: Simplex tree structure construction example + Simplex tree structure construction example + Filtration value computation algorithm ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ @@ -87,9 +89,9 @@ Filtration value computation algorithm **if** filtration(:math:`\sigma`) is NaN **then** filtration(:math:`\sigma`) = :math:`\alpha^2(\sigma)` **end if** - + *//propagate alpha filtration value* - + **for all** :math:`\tau` face of :math:`\sigma` **if** filtration(:math:`\tau`) is not NaN **then** filtration(:math:`\tau`) = filtration(:math:`\sigma`) @@ -109,11 +111,13 @@ From the example above, it means the algorithm looks into each triangle ([0,1,2] computes the filtration value of the triangle, and then propagates the filtration value as described here: -.. image:: +.. figure:: img/alpha_complex_doc_420.png - :align: center + :figclass: align-center :alt: Filtration value propagation example + Filtration value propagation example + Dimension 1 ^^^^^^^^^^^ |