Biorthogonal Wavelets Based on Interpolatory Subdivision

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dc.contributor.authorWang, H.en_US
dc.contributor.authorMa, W.en_US
dc.date.accessioned2015-02-23T09:12:05Z
dc.date.available2015-02-23T09:12:05Z
dc.date.issued2009en_US
dc.description.abstractThis article presents an efficient construction of biorthogonal wavelets built upon an interpolatory subdivision for quadrilateral meshes. The interpolatory subdivision scheme is first turned into a scheme for reversible primitive wavelet synthesis. Some desired properties are then incorporated in the primitive wavelet using the lifting scheme. The analysis and synthesis algorithms of the resulting new wavelet are finally obtained as local and in-place lifting operations. The wavelet inherits the advantage of refinement with added levels of resolution. Numerical experiments show that the lifted wavelet built upon interpolatory, subdivision has sufficient stability and better performance in dealing with closed or open semi-regular quadrilateral meshes compared with other existing wavelets for quadrilateral manifold meshes.en_US
dc.description.number6en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume28en_US
dc.identifier.doi10.1111/j.1467-8659.2009.01349.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages1572-1585en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2009.01349.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleBiorthogonal Wavelets Based on Interpolatory Subdivisionen_US
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