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Diffstat (limited to 'doc/Bottleneck_distance')
-rw-r--r-- | doc/Bottleneck_distance/COPYRIGHT | 19 | ||||
-rw-r--r-- | doc/Bottleneck_distance/Intro_bottleneck_distance.h | 51 | ||||
-rw-r--r-- | doc/Bottleneck_distance/perturb_pd.png | bin | 0 -> 20864 bytes |
3 files changed, 70 insertions, 0 deletions
diff --git a/doc/Bottleneck_distance/COPYRIGHT b/doc/Bottleneck_distance/COPYRIGHT new file mode 100644 index 00000000..179740a6 --- /dev/null +++ b/doc/Bottleneck_distance/COPYRIGHT @@ -0,0 +1,19 @@ +The files of this directory are part of the Gudhi Library. The Gudhi library +(Geometric Understanding in Higher Dimensions) is a generic C++ library for +computational topology. + +Author(s): 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/>. 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_ diff --git a/doc/Bottleneck_distance/perturb_pd.png b/doc/Bottleneck_distance/perturb_pd.png Binary files differnew file mode 100644 index 00000000..be638de0 --- /dev/null +++ b/doc/Bottleneck_distance/perturb_pd.png |