Disk B-spline on S2: A Skeleton-based Region Representation on 2-Sphere

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dc.contributor.authorZheng, Chunhaoen_US
dc.contributor.authorZhao, Yumingen_US
dc.contributor.authorWu, Zhongkeen_US
dc.contributor.authorWang, Xingceen_US
dc.contributor.editorChen, Renjieen_US
dc.contributor.editorRitschel, Tobiasen_US
dc.contributor.editorWhiting, Emilyen_US
dc.date.accessioned2024-10-13T18:09:01Z
dc.date.available2024-10-13T18:09:01Z
dc.date.issued2024
dc.description.abstractDue to the widespread applications of 2-dimensional spherical designs, there has been an increasing requirement of modeling on the S2 manifold in recent years. Due to the non-Euclidean nature of the sphere, it has some challenges to find a method to represent 2D regions on S2 manifold. In this paper, a skeleton-based representation method of regions on S2, disk B-spline(DBSC) on S2 is proposed. Firstly, we give the definition and basic algorithms of DBSC on S2. Then we provide the calculation method of DBSC on S2, which includes calculating the boundary points, internal points and their corresponding derivatives. Based on that, we give some modeling methods of DBSC on S2, including approximation, deformation. In the end, some stunning application examples of DBSC on S2 are shown. This work lays a theoretical foundation for further applications of DBSC on S2.en_US
dc.description.number7
dc.description.sectionheadersCurve and Surface Modeling
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume43
dc.identifier.doi10.1111/cgf.15239
dc.identifier.issn1467-8659
dc.identifier.pages12 pages
dc.identifier.urihttps://doi.org/10.1111/cgf.15239
dc.identifier.urihttps://diglib.eg.org/handle/10.1111/cgf15239
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectCCS Concepts: Computing methodologies → Parametric curve and surface models
dc.subjectComputing methodologies → Parametric curve and surface models
dc.titleDisk B-spline on S2: A Skeleton-based Region Representation on 2-Sphereen_US
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