View source for Publications/boutry.17.dgci

{{Publication
| published = true
| date = 2017-06-01
| authors = Nicolas Boutry, Laurent Najman, Thierry Géraud
| title = Well-Composedness in Alexandrov 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)
| series = Lecture Notes in Computer Science
| volume = 10502
| publisher = Springer
| editors = W G Kropatsch, N M Artner, I Janusch
| pages = 225 to 237
| address = Vienna, Austria
| 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.
| lrdepaper = http://www.lrde.epita.fr/dload/papers/boutry.17.dgci.pdf
| lrdekeywords = Image
| lrdeprojects = Olena
| lrdenewsdate = 2017-06-01
| type = inproceedings
| id = boutry.17.dgci
| identifier = doi:10.1007/978-3-319-66272-5_19
| bibtex = 
@InProceedings<nowiki>{</nowiki>	  boutry.17.dgci,
  author	= <nowiki>{</nowiki>Nicolas Boutry and Laurent Najman and Thierry G\'eraud<nowiki>}</nowiki>,
  title		= <nowiki>{</nowiki>Well-Composedness in <nowiki>{</nowiki>A<nowiki>}</nowiki>lexandrov spaces implies Digital
		  Well-Composedness in $Z^n$<nowiki>}</nowiki>,
  booktitle	= <nowiki>{</nowiki>Discrete Geometry for Computer Imagery -- Proceedings of
		  the 20th IAPR International Conference on Discrete Geometry
		  for Computer Imagery (DGCI)<nowiki>}</nowiki>,
  year		= <nowiki>{</nowiki>2017<nowiki>}</nowiki>,
  series	= <nowiki>{</nowiki>Lecture Notes in Computer Science<nowiki>}</nowiki>,
  volume	= <nowiki>{</nowiki>10502<nowiki>}</nowiki>,
  publisher	= <nowiki>{</nowiki>Springer<nowiki>}</nowiki>,
  editor	= <nowiki>{</nowiki>W.G. Kropatsch and N.M. Artner and I. Janusch<nowiki>}</nowiki>,
  pages		= <nowiki>{</nowiki>225--237<nowiki>}</nowiki>,
  month		= sep,
  address	= <nowiki>{</nowiki>Vienna, Austria<nowiki>}</nowiki>,
  doi		= <nowiki>{</nowiki>10.1007/978-3-319-66272-5_19<nowiki>}</nowiki>,
  abstract	= <nowiki>{</nowiki>In digital topology, it is well-known that, in 2D and in
		  3D, a digital set $X \subseteq Z^n$ is \emph<nowiki>{</nowiki>digitally
		  well-composed (DWC)<nowiki>}</nowiki>, <nowiki>{</nowiki>\it i.e.<nowiki>}</nowiki>, does not contain any
		  critical configuration, if its immersion in the Khalimsky
		  grids $H^n$ is \emph<nowiki>{</nowiki>well-composed in the sense of
		  Alexandrov (AWC)<nowiki>}</nowiki>, <nowiki>{</nowiki>\it i.e.<nowiki>}</nowiki>, 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.<nowiki>}</nowiki>
<nowiki>}</nowiki>

}}