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Diffstat (limited to 'src/cython/doc/bottleneck_distance_user.rst')
| -rw-r--r-- | src/cython/doc/bottleneck_distance_user.rst | 10 |
1 files changed, 7 insertions, 3 deletions
diff --git a/src/cython/doc/bottleneck_distance_user.rst b/src/cython/doc/bottleneck_distance_user.rst index a6a4426f..9435c7f1 100644 --- a/src/cython/doc/bottleneck_distance_user.rst +++ b/src/cython/doc/bottleneck_distance_user.rst @@ -9,6 +9,10 @@ Definition .. include:: bottleneck_distance_sum.inc +This implementation is based on ideas from "Geometry Helps in Bottleneck Matching and Related Problems" +:cite:`DBLP:journals/algorithmica/EfratIK01`. Another relevant publication, although it was not used is +"Geometry Helps to Compare Persistence Diagrams" :cite:`Kerber:2017:GHC:3047249.3064175`. + Function -------- .. autofunction:: gudhi.bottleneck_distance @@ -16,7 +20,7 @@ Function Distance computation -------------------- -Bottleneck distance does not use Euclidean distance, like explained in the following example: +The following example explains how the distance is computed: .. testcode:: @@ -33,14 +37,14 @@ Bottleneck distance does not use Euclidean distance, like explained in the follo ../../doc/Bottleneck_distance/bottleneck_distance_example.png :figclass: align-center - The point (0, 13) is at 6.5 distance from the diagonal and more + The point (0, 13) is at distance 6.5 from the diagonal and more specifically from the point (6.5, 6.5) Basic example ------------- -This another example computes the bottleneck distance from 2 persistence diagrams: +This other example computes the bottleneck distance from 2 persistence diagrams: .. testcode:: |