Difference between revisions of "Publications/boutry.18.is"

From LRDE

(Created page with "{{Publication | published = true | date = 2018-07-04 | authors = Nicolas Boutry, Rocio Gonzalez-Diaz, Maria-Jose Jimenez | title = Information Sciences | journal = Journal of ...")
 
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| date = 2018-07-04
 
| date = 2018-07-04
 
| authors = Nicolas Boutry, Rocio Gonzalez-Diaz, Maria-Jose Jimenez
 
| authors = Nicolas Boutry, Rocio Gonzalez-Diaz, Maria-Jose Jimenez
  +
| title = Weakly Well-Composed Cell Complexes over nD Pictures
| title = Information Sciences
 
| journal = Journal of Mathematical Imaging and Vision
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| journal = Information Sciences
 
| volume = 0
 
| volume = 0
 
| pages = 1 to 22
 
| pages = 1 to 22
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author = <nowiki>{</nowiki>Nicolas Boutry and Rocio Gonzalez-Diaz and Maria-Jose
 
author = <nowiki>{</nowiki>Nicolas Boutry and Rocio Gonzalez-Diaz and Maria-Jose
 
Jimenez<nowiki>}</nowiki>,
 
Jimenez<nowiki>}</nowiki>,
title = <nowiki>{</nowiki>Information Sciences<nowiki>}</nowiki>,
+
title = <nowiki>{</nowiki>Weakly Well-Composed Cell Complexes over <nowiki>{</nowiki>$n$D<nowiki>}</nowiki> Pictures<nowiki>}</nowiki>,
journal = <nowiki>{</nowiki>Journal of Mathematical Imaging and Vision<nowiki>}</nowiki>,
+
journal = <nowiki>{</nowiki>Information Sciences<nowiki>}</nowiki>,
 
volume = <nowiki>{</nowiki>0<nowiki>}</nowiki>,
 
volume = <nowiki>{</nowiki>0<nowiki>}</nowiki>,
 
pages = <nowiki>{</nowiki>1--22<nowiki>}</nowiki>,
 
pages = <nowiki>{</nowiki>1--22<nowiki>}</nowiki>,

Revision as of 14:02, 3 July 2018

Abstract

In previous work we proposed a combinatorial algorithm to “locally repair” the cubical complex Q(I) that is canonically associated with a given 3D picture I. The algorithm constructs a 3D polyhedral complex P(I) which is homotopy equivalent to Q(I) and whose boundary surface is a 2D manifold. A polyhedral complex satisfying these properties is called well-composed. In the present paper we extend these results to higher dimensions. We prove that for a given n-dimensional picture the obtained cell complex is well-composed in a weaker sense but is still homotopy equivalent to the initial cubical complex.

Documents

Bibtex (lrde.bib)

@Article{	  boutry.18.is,
  author	= {Nicolas Boutry and Rocio Gonzalez-Diaz and Maria-Jose
		  Jimenez},
  title		= {Weakly Well-Composed Cell Complexes over {$n$D} Pictures},
  journal	= {Information Sciences},
  volume	= {0},
  pages		= {1--22},
  month		= jun,
  year		= {2018},
  abstract	= {In previous work we proposed a combinatorial algorithm to
		  ``locally repair'' the cubical complex Q(I) that is
		  canonically associated with a given 3D picture I. The
		  algorithm constructs a 3D polyhedral complex P(I) which is
		  homotopy equivalent to Q(I) and whose boundary surface is a
		  2D manifold. A polyhedral complex satisfying these
		  properties is called well-composed. In the present paper we
		  extend these results to higher dimensions. We prove that
		  for a given n-dimensional picture the obtained cell complex
		  is well-composed in a weaker sense but is still homotopy
		  equivalent to the initial cubical complex.}
}