Chunhao Zheng, Yuming Zhao, Zhongke Wu, Xingce Wang
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引用次数: 0
Abstract
Due 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.
期刊介绍：
Computer Graphics Forum is the official journal of Eurographics, published in cooperation with Wiley-Blackwell, and is a unique, international source of information for computer graphics professionals interested in graphics developments worldwide. It is now one of the leading journals for researchers, developers and users of computer graphics in both commercial and academic environments. The journal reports on the latest developments in the field throughout the world and covers all aspects of the theory, practice and application of computer graphics.
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