diff options
author | Gard Spreemann <gspreemann@gmail.com> | 2017-04-20 11:15:58 +0200 |
---|---|---|
committer | Gard Spreemann <gspreemann@gmail.com> | 2017-04-20 11:15:58 +0200 |
commit | eadd3e18b55fc3b7a7d0420015902df2d58dcea5 (patch) | |
tree | ce025060ea9045415b1f738886c8c70ed32218e8 /doc/Bottleneck_distance/Intro_bottleneck_distance.h | |
parent | 5638527781e1d8cd916cd28f9d375eef7b5d820b (diff) | |
parent | 8d7329f3e5ad843e553c3c5503cecc28ef2eead6 (diff) |
Merge tag 'upstream/2.0.0' into dfsg/latest
Upstream's 2.0.0 release.
Diffstat (limited to 'doc/Bottleneck_distance/Intro_bottleneck_distance.h')
-rw-r--r-- | doc/Bottleneck_distance/Intro_bottleneck_distance.h | 51 |
1 files changed, 51 insertions, 0 deletions
diff --git a/doc/Bottleneck_distance/Intro_bottleneck_distance.h b/doc/Bottleneck_distance/Intro_bottleneck_distance.h new file mode 100644 index 00000000..3998fe8d --- /dev/null +++ b/doc/Bottleneck_distance/Intro_bottleneck_distance.h @@ -0,0 +1,51 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author: François Godi + * + * Copyright (C) 2015 INRIA + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <http://www.gnu.org/licenses/>. + */ + +#ifndef DOC_BOTTLENECK_DISTANCE_INTRO_BOTTLENECK_DISTANCE_H_ +#define DOC_BOTTLENECK_DISTANCE_INTRO_BOTTLENECK_DISTANCE_H_ + +// needs namespace for Doxygen to link on classes +namespace Gudhi { +// needs namespace for Doxygen to link on classes +namespace persistence_diagram { + +/** \defgroup bottleneck_distance Bottleneck distance + * + * \author François Godi + * @{ + * + * \section bottleneckdefinition Definition + * + * The bottleneck distance measures the similarity between two persistence diagrams. It is the shortest distance b for + * which there exists a perfect matching between the points of the two diagrams (completed with all the points on the + * diagonal in order to ignore cardinality mismatchs) such that any couple of matched points are at distance at most b. + * + * \image html perturb_pd.png On this picture, the red edges represent the matching. The bottleneck distance is the length of the longest edge. + * + */ +/** @} */ // end defgroup bottleneck_distance + +} // namespace persistence_diagram + +} // namespace Gudhi + +#endif // DOC_BOTTLENECK_DISTANCE_INTRO_BOTTLENECK_DISTANCE_H_ |