Interpolatory and Mixed Loop Schemes

dc.contributor.authorShi, Zhuoen_US
dc.contributor.authorLin, Shujinen_US
dc.contributor.authorLuo, Xiaonanen_US
dc.contributor.authorWang, Renhongen_US
dc.date.accessioned2015-02-21T17:59:51Z
dc.date.available2015-02-21T17:59:51Z
dc.date.issued2008en_US
dc.description.abstractThis paper presents a new interpolatory Loop scheme and an unified and mixed interpolatory and approximation subdivision scheme for triangular meshes. The former which is C1 continuous as same as the modified Butterfly scheme has better effect in some complex models. The latter can be used to solve the popping effect problem when switching between meshes at different levels of resolution. The scheme generates surfaces coincident with the Loop subdivision scheme in the limit condition having the coefficient k equal 0. When k equal 1, it will be changed into a new interpolatory subdivision scheme. Eigen-structure analysis demonstrates that subdivision surfaces generated using the new scheme are C1 continuous. All these are achieved only by changing the value of a parameter k. The method is a completely simple one without constructing and solving equations. It can achieve local interpolation and solve the popping effect problem which are the method s advantages over the modified Butterfly scheme.en_US
dc.description.number7en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume27en_US
dc.identifier.doi10.1111/j.1467-8659.2008.01329.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages1829-1835en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2008.01329.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleInterpolatory and Mixed Loop Schemesen_US
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