Reeb graphs of curves are stable under function perturbations-Reference-Cited by-同舟云学术

Reeb graphs of curves are stable under function perturbations

Published:2012-05-24 Issue:12 Volume:35 Page:1456-1471
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Di Fabio B.¹,Landi C.²

Affiliation:

1. ARCES; Università di Bologna; via Toffano 2/2 I-40125 Bologna Italy

2. Dipartimento di Scienze e Metodi dell'Ingegneria; Università di Modena e Reggio Emilia, Via Amendola 2, Pad. Morselli, I-42100 Reggio Emilia, Italy, ARCES, Università di Bologna; via Toffano 2/2 I-40125 Bologna Italy

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/mma.2533/fullpdf

Reference20 articles.

1. Constructing a Reeb graph automatically from cross sections;Shinagawa;IEEE Computer Graphics and Applications 11,1991

2. Surface coding based on Morse theory;Shinagawa;IEEE Computer Graphics and Applications,1991

3. Sur les points singuliers d'une forme de Pfaff complétement intégrable ou d'une fonction numérique;Reeb;Comptes Rendus de L'Académie ses Sciences,1946

4. The tree-to-tree correction problem;Kuo-Chung;Journal of the Association for Computing Machinery,1979

5. Natural pseudo-distances between closed curves;Forum Mathematicum,2009

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