Practical Fabrication of Discrete Chebyshev Nets

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dc.contributor.authorLiu, Hao-Yuen_US
dc.contributor.authorLiu, Zhong-Yuanen_US
dc.contributor.authorZhao, Zheng-Yuen_US
dc.contributor.authorLiu, Ligangen_US
dc.contributor.authorFu, Xiao-Mingen_US
dc.contributor.editorEisemann, Elmar and Jacobson, Alec and Zhang, Fang-Lueen_US
dc.date.accessioned2020-10-29T18:49:52Z
dc.date.available2020-10-29T18:49:52Z
dc.date.issued2020
dc.description.abstractWe propose a computational and practical technique to allow home users to fabricate discrete Chebyshev nets for various 3D models. The success of our method relies on two key components. The first one is a novel and simple method to approximate discrete integrable, unit-length, and angle-bounded frame fields, used to model discrete Chebyshev nets. Central to our field generation process is an alternating algorithm that takes turns executing one pass to enforce integrability and another pass to approach unit length while bounding angles. The second is a practical fabrication specification. The discrete Chebyshev net is first partitioned into a set of patches to facilitate manufacturing. Then, each patch is assigned a specification on pulling, bend, and fold to fit the nets. We demonstrate the capability and feasibility of our method in various complex models.en_US
dc.description.number7
dc.description.sectionheadersGeometry and Modeling
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume39
dc.identifier.doi10.1111/cgf.14123
dc.identifier.issn1467-8659
dc.identifier.pages13-26
dc.identifier.urihttps://doi.org/10.1111/cgf.14123
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14123
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectComputing methodologies
dc.subjectShape modeling
dc.titlePractical Fabrication of Discrete Chebyshev Netsen_US
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