Characterizing slope regions

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

doi:10.1007/s10878-021-00783-5

Artículo

dc.creator	González Díaz, Rocío	es
dc.creator	Batavia, Darshan	es
dc.creator	Moreno Casablanca, Rocío	es
dc.creator	Kropatsch, Walter G.	es
dc.date.accessioned	2021-10-19T07:54:11Z
dc.date.available	2021-10-19T07:54:11Z
dc.date.issued	2021
dc.identifier.citation	González Díaz, R., Batavia, D., Moreno Casablanca, R. y Kropatsch, W.G. (2021). Characterizing slope regions. Journal of Combinatorial Optimization, July 2021
dc.identifier.issn	1573-2886	es
dc.identifier.uri	https://hdl.handle.net/11441/126678
dc.description.abstract	This paper provides a theoretical characterization of monotonically connected image surface regions, called slope regions. The characterization is given by several topological properties described in terms of critical points relative to the region.We formally prove the necessary and sufficient conditions that a region needs to satisfy to be a slope region.We also provide a prototype of slope regions which is general and contains, as particular cases, the prototypes studied and published in previous conference papers.	es
dc.description.sponsorship	Ministerio de Ciencia e Innovación PID2019-107339GB-I00	es
dc.format	application/pdf	es
dc.format.extent	20	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	Journal of Combinatorial Optimization, July 2021
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Slope regions	es
dc.subject	Topological characterization	es
dc.subject	Critical points	es
dc.subject	Height maps	es
dc.subject	Cellular decomposition	es
dc.subject	Slope complex	es
dc.title	Characterizing slope regions	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/publishedVersion	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	PID2019-107339GB-I00	es
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s10878-021-00783-5	es
dc.identifier.doi	10.1007/s10878-021-00783-5	es
dc.journaltitle	Journal of Combinatorial Optimization	es
dc.publication.issue	July 2021	es
dc.contributor.funder	Ministerio de Ciencia e Innovación (MICIN). España	es

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