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dc.creator Razafindrazaka, Faniry es
dc.creator Polthier, Konrad es
dc.date.accessioned 2015-07-01T07:35:57Z
dc.date.available 2015-07-01T07:35:57Z
dc.date.issued 2013 es
dc.identifier.issn 1885-4508 es
dc.identifier.uri http://hdl.handle.net/11441/26438
dc.description.abstract A regular map is a family of equivalent polygons, glued together to form a closed surface without boundaries which is vertex, edge and face transitive. The commonly known regular maps are derived from the Platonic solids and some tessellations of the torus. There are also regular maps of genus greater than 1 which are traditionally viewed as finitely generated groups. RMS (Regular Map Smoothing) is a tool for visualizing a geometrical realization of such a group either as a cut-out in the hyperbolic space or as a compact surface in 3−space. It provides also a tool to make the resulting regular map more appealing than before. RMS achieves that by the use of a coloring scheme based on coset enumeration, a Catmull-Clark smoothing scheme and a force-directed algorithm with topology preservation. es
dc.format application/pdf es
dc.language.iso eng es
dc.publisher Universidad de Sevilla es
dc.relation.ispartof Image-A : Applicable Mathematics in Image Engineering, 3 (5), 23-26 es
dc.rights Atribución-NoComercial-SinDerivadas 4.0 España es
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ es
dc.subject Hyperbolic geometry es
dc.subject Computational group theory es
dc.subject Surface topology es
dc.subject Computational geometry es
dc.subject Object modelling es
dc.title Regular map smoothing es
dc.type info:eu-repo/semantics/article es
dc.type.version info:eu-repo/semantics/publishedVersion es
dc.rights.accessrights info:eu-repo/semantics/openAccess es
dc.relation.publisherversion http://institucional.us.es/revistas/imagen_a/5/art_5.pdf es
dc.identifier.idus https://idus.us.es/xmlui/handle/11441/26438
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