diff options
Diffstat (limited to 'src/Alpha_complex/doc/Intro_alpha_complex.h')
| -rw-r--r-- | src/Alpha_complex/doc/Intro_alpha_complex.h | 24 |
1 files changed, 14 insertions, 10 deletions
diff --git a/src/Alpha_complex/doc/Intro_alpha_complex.h b/src/Alpha_complex/doc/Intro_alpha_complex.h index c068b268..41e5e16d 100644 --- a/src/Alpha_complex/doc/Intro_alpha_complex.h +++ b/src/Alpha_complex/doc/Intro_alpha_complex.h @@ -83,7 +83,7 @@ Table of Contents * * Then, it is asked to display information about the simplicial complex. * - * \include Alpha_complex/Alpha_complex_from_points.cpp + * \include Alpha_complex_from_points.cpp * * When launching: * @@ -92,7 +92,7 @@ Table of Contents * * the program output is: * - * \include Alpha_complex/alphaoffreader_for_doc_60.txt + * \include alphaoffreader_for_doc_60.txt * * \section createcomplexalgorithm Create complex algorithm * @@ -107,6 +107,7 @@ Table of Contents * \subsection filtrationcomputation Filtration value computation algorithm * <br> * \f$ + * \begin{array}{l} * \textbf{for } \text{i : dimension } \rightarrow 0 \textbf{ do}\\ * \quad \textbf{for all } \sigma \text{ of dimension i}\\ * \quad\quad \textbf{if } \text{filtration(} \sigma ) \text{ is NaN} \textbf{ then}\\ @@ -127,6 +128,7 @@ Table of Contents * \textbf{end for}\\ * \text{make_filtration_non_decreasing()}\\ * \text{prune_above_filtration()}\\ + * \end{array} * \f$ * * \subsubsection dimension2 Dimension 2 @@ -152,6 +154,8 @@ Table of Contents * not quite define a proper filtration (i.e. non-decreasing with respect to inclusion). * We fix that up by calling `SimplicialComplexForAlpha::make_filtration_non_decreasing()`. * + * \note This is not the case in `exact` version, this is the reason why it is not called in this case. + * * \subsubsection pruneabove Prune above given filtration value * * The simplex tree is pruned from the given maximum \f$ \alpha^2 \f$ value (cf. @@ -162,16 +166,16 @@ Table of Contents * <b>Requires:</b> \ref eigen ≥ 3.1.0 and \ref cgal ≥ 5.1.0. * * A weighted version for Alpha complex is available (cf. Alpha_complex). It is like a usual Alpha complex, but based - * on a <a href="https://doc.cgal.org/latest/Triangulation/index.html#title20">CGAL regular triangulation</a> instead + * on a <a href="https://doc.cgal.org/latest/Triangulation/index.html#TriangulationSecRT">CGAL regular triangulation</a> instead * of Delaunay. * * This example builds the CGAL weighted alpha shapes from a small molecule, and initializes the alpha complex with - * it. This example is taken from <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title13">CGAL 3d + * it. This example is taken from <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#AlphaShape_3DExampleforWeightedAlphaShapes">CGAL 3d * weighted alpha shapes</a>. * * Then, it is asked to display information about the alpha complex. * - * \include Alpha_complex/Weighted_alpha_complex_from_points.cpp + * \include Weighted_alpha_complex_from_points.cpp * * When launching: * @@ -180,7 +184,7 @@ Table of Contents * * the program output is: * - * \include Alpha_complex/weightedalpha3dfrompoints_for_doc.txt + * \include weightedalpha3dfrompoints_for_doc.txt * * * \section offexample Example from OFF file @@ -190,7 +194,7 @@ Table of Contents * * Then, it is asked to display information about the alpha complex. * - * \include Alpha_complex/Alpha_complex_from_off.cpp + * \include Alpha_complex_from_off.cpp * * When launching: * @@ -199,7 +203,7 @@ Table of Contents * * the program output is: * - * \include Alpha_complex/alphaoffreader_for_doc_32.txt + * \include alphaoffreader_for_doc_32.txt * * * \section weighted3dexample 3d specific version @@ -210,12 +214,12 @@ Table of Contents * Gudhi::alpha_complex::complexity::EXACT. * * This example builds the CGAL 3d weighted alpha shapes from a small molecule, and initializes the alpha complex with - * it. This example is taken from <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title13">CGAL 3d + * it. This example is taken from <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#AlphaShape_3DExampleforWeightedAlphaShapes">CGAL 3d * weighted alpha shapes</a>. * * Then, it is asked to display information about the alpha complex. * - * \include Alpha_complex/Weighted_alpha_complex_3d_from_points.cpp + * \include Weighted_alpha_complex_3d_from_points.cpp * * The results will be the same as in \ref weightedversion . * |