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Diffstat (limited to 'src/Witness_complex/doc/Witness_complex_doc.h')
| -rw-r--r-- | src/Witness_complex/doc/Witness_complex_doc.h | 6 |
1 files changed, 5 insertions, 1 deletions
diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index e9f78170..60dfd27b 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -6,6 +6,8 @@ \author Siargey Kachanovich + \image html "Witness_complex_representation.png" "Witness complex representation" + \section Definitions Witness complex \f$ Wit(W,L) \f$ is a simplicial complex defined on two sets of points in \f$\mathbb{R}^D\f$: @@ -18,7 +20,9 @@ \f$ \sigma \subset L \f$ is witnessed if there exists a point \f$w \in W\f$ such that w is closer to the vertices of \f$ \sigma \f$ than other points in \f$ L \f$ and all of its faces are witnessed as well. - + + The data structure is described in \cite boissonnatmariasimplextreealgorithmica . + \section Implementation The principal class of this module is Gudhi::Witness_complex. |