Difference between revisions of "Publications/boutry.22.jmiv"

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(Created page with "{{Publication | published = true | date = 2021-11-09 | authors = Nicolas Boutry, Rocio Gonzalez-Diaz, Laurent Najman, Thierry Géraud | title = Continuous Well-Composedness im...")
 
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month = jan,
 
month = jan,
 
year = <nowiki>{</nowiki>2022<nowiki>}</nowiki>,
 
year = <nowiki>{</nowiki>2022<nowiki>}</nowiki>,
doi = <nowiki>{</nowiki>10.1007/s10851-021-01058-8<nowiki>}</nowiki>,
 
 
abstract = <nowiki>{</nowiki>In this paper, we prove that when a $n$-D cubical set is
 
abstract = <nowiki>{</nowiki>In this paper, we prove that when a $n$-D cubical set is
 
continuously well-composed (CWC), that is, when the
 
continuously well-composed (CWC), that is, when the
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homology. This paper is the sequel of a previous paper
 
homology. This paper is the sequel of a previous paper
 
where we proved that DWCness does not imply CWCness in
 
where we proved that DWCness does not imply CWCness in
4D.<nowiki>}</nowiki>
+
4D.<nowiki>}</nowiki>,
 
doi = <nowiki>{</nowiki>10.1007/s10851-021-01058-8<nowiki>}</nowiki>
 
<nowiki>}</nowiki>
 
<nowiki>}</nowiki>
   

Revision as of 07:05, 6 January 2022

Abstract

In this paper, we prove that when a -D cubical set is continuously well-composed (CWC), that is, when the boundary of its continuous analog is a topological -manifold, then it is digitally well-composed (DWC), which means that it does not contain any critical configuration. We prove this result thanks to local homology. This paper is the sequel of a previous paper where we proved that DWCness does not imply CWCness in 4D.

Documents

Bibtex (lrde.bib)

@Article{	  boutry.22.jmiv,
  author	= {Nicolas Boutry and Rocio Gonzalez-Diaz and Laurent Najman
		  and Thierry G\'eraud},
  title		= {Continuous Well-Composedness implies Digital
		  Well-Composedness in $n$-D},
  journal	= {Journal of Mathematical Imaging and Vision},
  volume	= {},
  number	= {},
  pages		= {},
  month		= jan,
  year		= {2022},
  abstract	= {In this paper, we prove that when a $n$-D cubical set is
		  continuously well-composed (CWC), that is, when the
		  boundary of its continuous analog is a topological
		  $(n-1)$-manifold, then it is digitally well-composed (DWC),
		  which means that it does not contain any critical
		  configuration. We prove this result thanks to local
		  homology. This paper is the sequel of a previous paper
		  where we proved that DWCness does not imply CWCness in
		  4D.},
  doi		= {10.1007/s10851-021-01058-8}
}