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authorvrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2016-12-15 22:21:54 +0000
committervrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2016-12-15 22:21:54 +0000
commit75585b58076af057d1e458ea5668a97455d93688 (patch)
treedc8a802e6195054dc07a457fe8743f2326070755 /biblio
parentb93ea27ea392f49f85deee23526c9330a716093b (diff)
parent0df3c9bcca4345b8be27ca2fd90eb5137072740c (diff)
Merge last trunk modifications
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/bottleneck_integration@1888 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 951a081ac634f829fa49265005ea1e620f2c08ca
Diffstat (limited to 'biblio')
-rw-r--r--biblio/bibliography.bib15
-rw-r--r--biblio/how_to_cite_gudhi.bib17
2 files changed, 28 insertions, 4 deletions
diff --git a/biblio/bibliography.bib b/biblio/bibliography.bib
index 9fc01a5d..4940ec78 100644
--- a/biblio/bibliography.bib
+++ b/biblio/bibliography.bib
@@ -306,6 +306,21 @@ language={English},
bibsource = {DBLP, http://dblp.uni-trier.de}
}
+%------------------------------------------------------------------
+@article{tangentialcomplex2014,
+author="Boissonnat, Jean-Daniel and Ghosh, Arijit",
+title="Manifold Reconstruction Using Tangential Delaunay Complexes",
+journal="Discrete {\&} Computational Geometry",
+year="2014",
+volume="51",
+number="1",
+pages="221--267",
+abstract="We give a provably correct algorithm to reconstruct a k-dimensional smooth manifold embedded in d-dimensional Euclidean space. The input to our algorithm is a point sample coming from an unknown manifold. Our approach is based on two main ideas: the notion of tangential Delaunay complex defined in Boissonnat and Fl{\"o}totto (Comput. Aided Des. 36:161--174, 2004), Fl{\"o}totto (A coordinate system associated to a point cloud issued from a manifold: definition, properties and applications. Ph.D. thesis, 2003), Freedman (IEEE Trans. Pattern Anal. Mach. Intell. 24(10), 2002), and the technique of sliver removal by weighting the sample points (Cheng et al. in J. ACM 47:883--904, 2000). Differently from previous methods, we do not construct any subdivision of the d-dimensional ambient space. As a result, the running time of our algorithm depends only linearly on the extrinsic dimension d while it depends quadratically on the size of the input sample, and exponentially on the intrinsic dimension k. To the best of our knowledge, this is the first certified algorithm for manifold reconstruction whose complexity depends linearly on the ambient dimension. We also prove that for a dense enough sample the output of our algorithm is isotopic to the manifold and a close geometric approximation of the manifold.",
+issn="1432-0444",
+doi="10.1007/s00454-013-9557-2",
+url="http://dx.doi.org/10.1007/s00454-013-9557-2"
+}
+
%BOOKS
%------------------------------------------------------------------
@book{DBLP:tibkat_237559129,
diff --git a/biblio/how_to_cite_gudhi.bib b/biblio/how_to_cite_gudhi.bib
index cba59f54..d88ecb75 100644
--- a/biblio/how_to_cite_gudhi.bib
+++ b/biblio/how_to_cite_gudhi.bib
@@ -42,7 +42,7 @@
, year = 2015
}
-@incollection{gudhi:Alpha complex
+@incollection{gudhi:AlphaComplex
, author = "Vincent Rouvreau"
, title = "Alpha complex"
, publisher = "{GUDHI Editorial Board}"
@@ -51,7 +51,7 @@
, year = 2015
}
-@incollection{gudhi:Cubical complex
+@incollection{gudhi:CubicalComplex
, author = "Pawel Dlotko"
, title = "Cubical complex"
, publisher = "{GUDHI Editorial Board}"
@@ -60,7 +60,7 @@
, year = 2015
}
-@incollection{gudhi:Witness complex
+@incollection{gudhi:WitnessComplex
, author = "Siargey Kachanovich"
, title = "Witness complex"
, publisher = "{GUDHI Editorial Board}"
@@ -69,7 +69,16 @@
, year = 2015
}
-@incollection{gudhi:Bottleneck distance
+@incollection{gudhi:SubSampling
+, author = "Cl\'ement Jamin, Siargey Kachanovich"
+, title = "Subsampling"
+, publisher = "{GUDHI Editorial Board}"
+, booktitle = "{GUDHI} User and Reference Manual"
+, url = "http://gudhi.gforge.inria.fr/doc/latest/group__subsampling.html"
+, year = 2016
+}
+
+@incollection{gudhi:BottleneckDistance
, author = "Fran{{\c{c}}ois Godi"
, title = "Bottleneck distance"
, publisher = "{GUDHI Editorial Board}"