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Diffstat (limited to 'src/Alpha_complex/doc/Intro_alpha_complex.h')
| -rw-r--r-- | src/Alpha_complex/doc/Intro_alpha_complex.h | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/src/Alpha_complex/doc/Intro_alpha_complex.h b/src/Alpha_complex/doc/Intro_alpha_complex.h index 685a4c2f..12d62ac0 100644 --- a/src/Alpha_complex/doc/Intro_alpha_complex.h +++ b/src/Alpha_complex/doc/Intro_alpha_complex.h @@ -37,10 +37,10 @@ namespace alphacomplex { * \section definition Definition * * Alpha_complex is a <a target="_blank" href="https://en.wikipedia.org/wiki/Simplicial_complex">simplicial complex</a> - * constructed from each finite cell of a Delaunay Triangulation. + * constructed from the finite cells of a Delaunay Triangulation. * - * 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. + * The filtration value of each simplex is computed from the circumradius of the simplex if it is Gabriel or + * from the alpha value of the simplex cofaces that make it not Gabriel. * * All simplices that have a filtration value strictly greater than a given alpha square value are not inserted into * the simplex. @@ -78,7 +78,7 @@ namespace alphacomplex { * * \subsection datastructure Data structure * - * In order to build the alpha complex, first, a Simplex tree is build from the cells of a Delaunay Triangulation. + * 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 html "alpha_complex_doc.png" "Simplex tree structure construction example" * |