Orthogonal Decomposition of Non-Uniform Bspline Spaces using Wavelets

dc.contributor.authorKazinnik, Romanen_US
dc.contributor.authorElber, Gershonen_US
dc.date.accessioned2015-02-15T18:05:30Z
dc.date.available2015-02-15T18:05:30Z
dc.date.issued1997en_US
dc.description.abstractWe take advantage of ideas of an orthogonal wavelet complement to produce multiresolution orthogonal decomposition of nonuniform Bspline (NUB) spaces. The editing of NUB curves and surfaces can be handled at different levels of resolutions.Applying Multiresolution decomposition to possibly C1 discontinuous surfaces, one can preserve the general shape on one hand and local features on the other of the free-form models, including geometric discontinuities. The Multiresolution decomposition of the NUB tensor product surface is computed via the symbolic computation of inner products of Bspline basis functions. To find a closed form representation for the inner product of the Bspline basis functions, an equivalent interpolation problem is solved.As an example for the strength of the Multiresolution decomposition, a tool demonstrating the Multiresolution editing capabilities of NUB surfaces was developed and is presented as part of this work, allowing interactive 3D editing of NUB free-form surfaces.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume16en_US
dc.identifier.doi10.1111/1467-8659.00139en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pagesC27-C38en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.00139en_US
dc.publisherBlackwell Publishers Ltd and the Eurographics Associationen_US
dc.titleOrthogonal Decomposition of Non-Uniform Bspline Spaces using Waveletsen_US
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