Computing and reducing slope complexes

Kropatsch, Walter G.; Moreno Casablanca, Rocío; Batavia, Darshan; González Díaz, Rocío

doi:10.1007/978-3-030-10828-1_2

Ponencia

dc.creator	Kropatsch, Walter G.	es
dc.creator	Moreno Casablanca, Rocío	es
dc.creator	Batavia, Darshan	es
dc.creator	González Díaz, Rocío	es
dc.date.accessioned	2021-09-09T07:51:28Z
dc.date.available	2021-09-09T07:51:28Z
dc.date.issued	2019
dc.identifier.citation	Kropatsch, W.G., Moreno Casablanca, R., Batavia, D. y González Díaz, R. (2019). Computing and reducing slope complexes. En CTIC 2019: 7th International Workshop on Computational Topology in Image Context (12-25), Málaga, España: Springer.
dc.identifier.isbn	978-3-030-10827-4	es
dc.identifier.issn	0302-9743	es
dc.identifier.uri	https://hdl.handle.net/11441/125587
dc.description.abstract	In this paper we provide a new characterization of cell de- composition (called slope complex) of a given 2-dimensional continuous surface. Each patch (cell) in the decomposition must satisfy that there exists a monotonic path for any two points in the cell. We prove that any triangulation of such surface is a slope complex and explain how to obtain new slope complexes with a smaller number of slope regions decomposing the surface. We give the minimal number of slope regions by counting certain bounding edges of a triangulation of the surface obtained from its critical points.	es
dc.description.sponsorship	Ministerio de Economía y Competitividad MTM2015-67072-P	es
dc.format	application/pdf	es
dc.format.extent	14	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	CTIC 2019: 7th International Workshop on Computational Topology in Image Context (2019), pp. 12-25.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.title	Computing and reducing slope complexes	es
dc.type	info:eu-repo/semantics/conferenceObject	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)	es
dc.relation.projectID	MTM2015-67072-P	es
dc.relation.publisherversion	https://link.springer.com/chapter/10.1007%2F978-3-030-10828-1_2	es
dc.identifier.doi	10.1007/978-3-030-10828-1_2	es
dc.publication.initialPage	12	es
dc.publication.endPage	25	es
dc.eventtitle	CTIC 2019: 7th International Workshop on Computational Topology in Image Context	es
dc.eventinstitution	Málaga, España	es
dc.relation.publicationplace	Cham, Switzerland	es
dc.contributor.funder	Ministerio de Economía y Competitividad (MINECO). España	es

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