Mesh Parametrization Driven by Unit Normal Flow
发布时间:2023-09-27
点击次数:
- 影响因子:
- 2.5
- DOI码:
- 10.1111/cgf.13660
- 所属单位:
- WILEY
- 发表刊物:
- COMPUTER GRAPHICS FORUM
- 刊物所在地:
- 111 RIVER ST, HOBOKEN 07030-5774, NJ
- 关键字:
- mesh parametrization;deformation;constant mean curvature;rotation;unit normal flow
- 摘要:
- Based on mesh deformation, we present a unified mesh parametrization algorithm for both planar and spherical domains. Our approach can produce intermediate frames from the original meshes to the targets. We derive and define a novel geometric flow: 'unit normal flow (UNF)' and prove that if UNF converges, it will deform a surface to a constant mean curvature (CMC) surface, such as planes and spheres. Our method works by deforming meshes of disk topology to planes, and spherical meshes to spheres. Our algorithm is robust, efficient, simple to implement. To demonstrate the robustness and effectiveness of our method, we apply it to hundreds of models of varying complexities. Our experiments show that our algorithm can be a competing alternative approach to other state-of-the-art mesh parametrization methods. The unit normal flow also suggests a potential direction for creating CMC surfaces.
- 合写作者:
- Li Chenchen,Zhang Boyu,Yang Lei,Lei Na,Wang Xiaoling,Goltler, Steven J.,Gu Xianfeng
- 第一作者:
- Zhao Hui
- 论文类型:
- 文章
- 通讯作者:
- Su Kehua
- 文献类型:
- J
- 卷号:
- 39
- 期号:
- 1
- 页面范围:
- 34-49
- ISSN号:
- 0167-7055
- 是否译文:
- 否
- 发表时间:
- 2020-03-31
- 收录刊物:
- SCI、EI