Difference between revisions of "Publications/boutry.17.dgci"
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{{Publication |
{{Publication |
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| − | | published = |
+ | | published = true |
| − | | date = |
+ | | date = 2018-01-25 |
| authors = Nicolas Boutry, Laurent Najman, Thierry Géraud |
| authors = Nicolas Boutry, Laurent Najman, Thierry Géraud |
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| title = Well-Composedness in Alexandrov spaces implies Digital Well-Composedness in Z^n |
| title = Well-Composedness in Alexandrov spaces implies Digital Well-Composedness in Z^n |
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| pages = 225 to 237 |
| pages = 225 to 237 |
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| address = Vienna, Austria |
| address = Vienna, Austria |
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| − | | note = To appear. |
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| abstract = In digital topology, it is well-known that, in 2D and in 3D, a digital set <math>X \subseteq Z^n</math> is emphdigitally well-composed (DWC), i.e., does not contain any critical configuration, if its immersion in the Khalimsky grids <math>H^n</math> is emphwell-composed in the sense of Alexandrov (AWC), i.e., its boundary is a disjoint union of discrete <math>(n-1)</math>-surfaces. We show that this is still true in <math>n</math>-D, <math>n \geq 2</math>, which is of prime importance since today 4D signals are more and more frequent. |
| abstract = In digital topology, it is well-known that, in 2D and in 3D, a digital set <math>X \subseteq Z^n</math> is emphdigitally well-composed (DWC), i.e., does not contain any critical configuration, if its immersion in the Khalimsky grids <math>H^n</math> is emphwell-composed in the sense of Alexandrov (AWC), i.e., its boundary is a disjoint union of discrete <math>(n-1)</math>-surfaces. We show that this is still true in <math>n</math>-D, <math>n \geq 2</math>, which is of prime importance since today 4D signals are more and more frequent. |
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| lrdepaper = http://www.lrde.epita.fr/dload/papers/boutry.17.dgci.pdf |
| lrdepaper = http://www.lrde.epita.fr/dload/papers/boutry.17.dgci.pdf |
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| lrdekeywords = Image |
| lrdekeywords = Image |
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| lrdeprojects = Olena |
| lrdeprojects = Olena |
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| − | | lrdenewsdate = |
+ | | lrdenewsdate = 2018-01-25 |
| type = inproceedings |
| type = inproceedings |
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| id = boutry.17.dgci |
| id = boutry.17.dgci |
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month = sep, |
month = sep, |
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address = <nowiki>{</nowiki>Vienna, Austria<nowiki>}</nowiki>, |
address = <nowiki>{</nowiki>Vienna, Austria<nowiki>}</nowiki>, |
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| − | note = <nowiki>{</nowiki>To appear.<nowiki>}</nowiki>, |
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abstract = <nowiki>{</nowiki>In digital topology, it is well-known that, in 2D and in |
abstract = <nowiki>{</nowiki>In digital topology, it is well-known that, in 2D and in |
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3D, a digital set $X \subseteq Z^n$ is \emph<nowiki>{</nowiki>digitally |
3D, a digital set $X \subseteq Z^n$ is \emph<nowiki>{</nowiki>digitally |
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Revision as of 11:57, 24 January 2018
- Authors
- Nicolas Boutry, Laurent Najman, Thierry Géraud
- Where
- Discrete Geometry for Computer Imagery – Proceedings of the 20th IAPR International Conference on Discrete Geometry for Computer Imagery (DGCI)
- Place
- Vienna, Austria
- Type
- inproceedings
- Publisher
- Springer
- Projects
- Olena
- Keywords
- Image
- Date
- 2018-01-25
Abstract
In digital topology, it is well-known that, in 2D and in 3D, a digital set is emphdigitally well-composed (DWC), i.e., does not contain any critical configuration, if its immersion in the Khalimsky grids is emphwell-composed in the sense of Alexandrov (AWC), i.e., its boundary is a disjoint union of discrete -surfaces. We show that this is still true in -D, , which is of prime importance since today 4D signals are more and more frequent.
Documents
Bibtex (lrde.bib)
@InProceedings{ boutry.17.dgci,
author = {Nicolas Boutry and Laurent Najman and Thierry G\'eraud},
title = {Well-Composedness in {A}lexandrov spaces implies Digital
Well-Composedness in $Z^n$},
booktitle = {Discrete Geometry for Computer Imagery -- Proceedings of
the 20th IAPR International Conference on Discrete Geometry
for Computer Imagery (DGCI)},
year = {2017},
series = {Lecture Notes in Computer Science},
volume = {10502},
publisher = {Springer},
editor = {W.G. Kropatsch and N.M. Artner and I. Janusch},
pages = {225--237},
month = sep,
address = {Vienna, Austria},
abstract = {In digital topology, it is well-known that, in 2D and in
3D, a digital set $X \subseteq Z^n$ is \emph{digitally
well-composed (DWC)}, {\it i.e.}, does not contain any
critical configuration, if its immersion in the Khalimsky
grids $H^n$ is \emph{well-composed in the sense of
Alexandrov (AWC)}, {\it i.e.}, its boundary is a disjoint
union of discrete $(n-1)$-surfaces. We show that this is
still true in $n$-D, $n \geq 2$, which is of prime
importance since today 4D signals are more and more frequent.}
}