diff options
Diffstat (limited to 'src/Alpha_complex/doc/Intro_alpha_complex.h')
| -rw-r--r-- | src/Alpha_complex/doc/Intro_alpha_complex.h | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/src/Alpha_complex/doc/Intro_alpha_complex.h b/src/Alpha_complex/doc/Intro_alpha_complex.h index 34af2b98..d266219b 100644 --- a/src/Alpha_complex/doc/Intro_alpha_complex.h +++ b/src/Alpha_complex/doc/Intro_alpha_complex.h @@ -35,7 +35,7 @@ namespace alphacomplex { * * Alpha_complex is a Simplex_tree constructed from each finite cell of a Delaunay Triangulation. * - * The filtration value of each simplex is computed from the alpha value of the simplex if it is Gabriel or + * The filtration value of each simplex is computed from the alpha square value of the simplex if it is Gabriel or * from the alpha value of the simplex coface that makes the simplex not Gabriel. * * Please refer to \cite AlphaShapesDefinition for a more complete alpha complex definition. @@ -54,7 +54,7 @@ namespace alphacomplex { * * When launching: * - * \code $> ./alphaoffreader ../../data/points/alphacomplexdoc.off + * \code $> ./alphaoffreader ../../data/points/alphacomplexdoc.off 60.0 * \endcode * * the program output is: @@ -77,7 +77,7 @@ namespace alphacomplex { * \For{i : dimension $\rightarrow$ 1} * \ForAll{$\sigma$ of dimension i} * \If {filtration($\sigma$) is NaN} - * \State filtration($\sigma$) = $\alpha(\sigma)$ + * \State filtration($\sigma$) = $\alpha^2(\sigma)$ * \EndIf * \ForAll{$\tau$ face of $\sigma$} \Comment{propagate alpha filtration value} * \If {filtration($\tau$) is not NaN} @@ -105,8 +105,8 @@ namespace alphacomplex { * * \section alpha-shape Alpha shape * - * In the example above, the alpha shape of \f$\alpha_{74} < \alpha < \alpha_{73}\f$ is the alpha complex where the - * \f$\alpha_{74} <\f$ filtration value \f$< \alpha_{73}\f$ as described in \cite AlphaShapesIntroduction + * In the example above, the alpha shape of \f$\alpha^2_{74} < \alpha^2 < \alpha^2_{73}\f$ is the alpha complex where the + * \f$\alpha^2_{74} <\f$ filtration value \f$< \alpha^2_{73}\f$ as described in \cite AlphaShapesIntroduction * * \image html "alpha_complex_doc_alpha_shape.png" "Alpha shape example" * \copyright GNU General Public License v3. |