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dc.contributor.authorRen, Xiaohuaen_US
dc.contributor.authorLyu, Luanen_US
dc.contributor.authorHe, Xiaoweien_US
dc.contributor.authorCao, Weien_US
dc.contributor.authorYang, Zhixinen_US
dc.contributor.authorSheng, Binen_US
dc.contributor.authorZhang, Yancien_US
dc.contributor.authorWu, Enhuaen_US
dc.contributor.editorFu, Hongbo and Ghosh, Abhijeet and Kopf, Johannesen_US
dc.date.accessioned2018-10-07T14:57:41Z
dc.date.available2018-10-07T14:57:41Z
dc.date.issued2018
dc.identifier.issn1467-8659
dc.identifier.urihttps://doi.org/10.1111/cgf.13543
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13543
dc.description.abstractWe introduce a new biorthogonal wavelet approach to creating a water-tight surface defined by an implicit function, from a finite set of oriented points. Our approach aims at addressing problems with previous wavelet methods which are not resilient to missing or nonuniformly sampled data. To address the problems, our approach has two key elements. First, by applying a three-dimensional partial integration, we derive a new integral formula to compute the wavelet coefficients without requiring the implicit function to be an indicator function. It can be shown that the previously used formula is a special case of our formula when the integrated function is an indicator function. Second, a simple yet general method is proposed to construct smooth wavelets with small support. With our method, a family of wavelets can be constructed with the same support size as previously used wavelets while having one more degree of continuity. Experiments show that our approach can robustly produce results comparable to those produced by the Fourier and Poisson methods, regardless of the input data being noisy, missing or nonuniform. Moreover, our approach does not need to compute global integrals or solve large linear systems.en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectComputing methodologies
dc.subjectMesh geometry models
dc.subjectMathematics of computing
dc.subjectComputation of transforms
dc.titleBiorthogonal Wavelet Surface Reconstruction Using Partial Integrationsen_US
dc.description.seriesinformationComputer Graphics Forum
dc.description.sectionheadersRegistration and Reconstruction
dc.description.volume37
dc.description.number7
dc.identifier.doi10.1111/cgf.13543
dc.identifier.pages13-24


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  • 37-Issue 7
    Pacific Graphics 2018 - Symposium Proceedings

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