From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1117 Path: news.gmane.org!not-for-mail From: grandis@dima.unige.it (Marco Grandis) Newsgroups: gmane.science.mathematics.categories Subject: Preprint: Combinatorial homology and image analysis Date: Fri, 7 May 1999 11:51:07 +0100 Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" X-Trace: ger.gmane.org 1241017577 29576 80.91.229.2 (29 Apr 2009 15:06:17 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:06:17 +0000 (UTC) To: categories@mta.ca Original-X-From: cat-dist Fri May 7 11:49:00 1999 Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.9.3/8.9.3) id KAA04001 for categories-list; Fri, 7 May 1999 10:14:17 -0300 (ADT) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f Original-Sender: cat-dist@mta.ca Precedence: bulk Original-Lines: 41 Xref: news.gmane.org gmane.science.mathematics.categories:1117 Archived-At: The following preprint is available, at my home page and by ftp: Combinatorial homology and image analysis M. Grandis ABSTRACT. This is the sequel of a paper, cited as Part I ("An intrinsic homotopy theory for simplicial complexes, with applications to image analysis"), introducing intrinsic homotopies and homotopy groups for simplicial complexes. We study here the relations of this intrinsic homotopy theory with the well-known intrinsic homology theory of simplicial complexes. Also here, the applications are aimed at image analysis. A metric space X has a structure t_e(X) of simplicial complex at each resolution e > 0; the corresponding *metric combinatorial homology groups* H_n( t_e(X)) can be directly computed, in cases of interest for applications, via the Mayer-Vietoris exact sequence and a study of deformation retracts given in Part I. http://www.dima.unige.it/STAFF/GRANDIS/ "ftp://pitagora.dima.unige.it/WWW/FTP/GRANDIS/Cmb2.May99.ps With best regards Marco Grandis Dipartimento di Matematica Universita' di Genova via Dodecaneso 35 16146 GENOVA, Italy e-mail: grandis@dima.unige.it tel: +39.010.353 6805 fax: +39.010.353 6752