Mesh Parametrization Driven by Unit Normal Flow
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
© 2020 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd
Abstract
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.
Description
@article{10.1111:cgf.13660,
journal = {Computer Graphics Forum},
title = {{Mesh Parametrization Driven by Unit Normal Flow}},
author = {Zhao, Hui and Su, Kehua and Li, Chenchen and Zhang, Boyu and Yang, Lei and Lei, Na and Wang, Xiaoling and Gortler, Steven J. and Gu, Xianfeng},
year = {2020},
publisher = {© 2020 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd},
ISSN = {1467-8659},
DOI = {10.1111/cgf.13660}
}