A Method for Constructing Interpolatory Subdivision Schemes and Blending Subdivisions

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dc.contributor.authorLi, G.en_US
dc.contributor.authorMa, W.en_US
dc.date.accessioned2015-02-21T12:41:47Z
dc.date.available2015-02-21T12:41:47Z
dc.date.issued2007en_US
dc.description.abstractThis paper presents a universal method for constructing interpolatory subdivision schemes from known approximatory subdivisions. The method establishes geometric rules of the associated interpolatory subdivision through addition of further weighted averaging operations to the approximatory subdivision. The paper thus provides a novel approach for designing new interpolatory subdivision schemes. In addition, a family of subdivision surfaces varying from the given approximatory scheme to its associated interpolatory scheme, namely the blending subdivisions, can also be established. Based on the proposed method, variants of several known interpolatory subdivision schemes are constructed. A new interpolatory subdivision scheme is also developed using the same technique. Brief analysis of a family of blending subdivisions associated with the Loop subdivision scheme demonstrates that this particular family of subdivisions are globally C1 continuous while maintaining bounded curvature for regular meshes. As a further extension of the blending subdivisions, a volume-preserving subdivision strategy is also proposed in the paper.en_US
dc.description.number2en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume26en_US
dc.identifier.doi10.1111/j.1467-8659.2007.01015.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages185-201en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2007.01015.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleA Method for Constructing Interpolatory Subdivision Schemes and Blending Subdivisionsen_US
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