Interactive Editing of Discrete Chebyshev Nets

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dc.contributor.authorLi, Rui-Zengen_US
dc.contributor.authorGuo, Jia-Pengen_US
dc.contributor.authorWang, Qien_US
dc.contributor.authorChai, Shuangmingen_US
dc.contributor.authorLiu, Ligangen_US
dc.contributor.authorFu, Xiao-Mingen_US
dc.contributor.editorChaine, Raphaëlleen_US
dc.contributor.editorKim, Min H.en_US
dc.date.accessioned2022-04-22T06:27:08Z
dc.date.available2022-04-22T06:27:08Z
dc.date.issued2022
dc.description.abstractWe propose an interactive method to edit a discrete Chebyshev net, which is a quad mesh with edges of the same length. To ensure that the edited mesh is always a discrete Chebyshev net, the maximum difference of all edge lengths should be zero during the editing process. Hence, we formulate an objective function using lp-norm (p > 2) to force the maximum length deviation to approach zero in practice. To optimize the nonlinear and non-convex objective function interactively and efficiently, we develop a novel second-order solver. The core of the solver is to construct a new convex majorizer for our objective function to achieve fast convergence. We present two acceleration strategies to further reduce the optimization time, including adaptive p change and adaptive variables reduction. A large number of experiments demonstrate the capability and feasibility of our method for interactively editing complex discrete Chebyshev nets.en_US
dc.description.number2
dc.description.sectionheadersModeling and Editing I
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume41
dc.identifier.doi10.1111/cgf.14462
dc.identifier.issn1467-8659
dc.identifier.pages111-120
dc.identifier.pages10 pages
dc.identifier.urihttps://doi.org/10.1111/cgf.14462
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14462
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectCCS Concepts: Computing methodologies --> Shape modeling
dc.subjectComputing methodologies
dc.subjectShape modeling
dc.titleInteractive Editing of Discrete Chebyshev Netsen_US
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