@inproceedings{bfbe412c05be436191273b0a4c74cc17,
title = "Mesh parameterization: A viewpoint from constant mean curvature surfaces",
abstract = "We present a unified mesh paramterization algorithm for both planar and spheric domains based on mesh deformation. Unlike previous methods, our approach can produce intermediate frames from the original to target meshes. We derive and define a novel geometric flow: unit normal flow(UNF) and prove that if unit normal flow converges, it will deform a surface to a constant mean curvature(CMC) surface, such as plane and sphere. Our method works by deforming meshes of disk topology to planes, meshes of spheric topology to spheres. The unit normal flow we propose also suggests a potential direction for creating CMC surfaces.",
author = "Hui Zhao and Kehua Su and Chenchen Li and Boyu Zhang and Shirao Liu and Lei Yang and Na Lei and Gortler, {Steven J.} and Xianfeng Gu",
note = "Funding Information: We would like to thank anonymous reviewers for their insightful feedbacks, valuable comments, and suggestions. Some pictures are rendered by Mitsuba [Jak10]. All 3D models are from the AIM@SHAPE shape repository and Thingi10K repository. Thanks MeshDGP [Zha16] framework for the implementation reference. The project is partially supported by NSFC No. 61772379, 61772105, 61720106005, NSF DMS-1737812, NSF DMS-1418255, AFOSR FA9550-14-1-0193, NIH 1R01LM012434 and National ST Major Project of China (2018ZX10301201), the National Natural Science Foundation of China (11772047) and Key international collaborating Project from National Natural Science Foundation of China (11620101001). Publisher Copyright: {\textcopyright} 2018 The Author(s).; 26th Pacific Conference on Computer Graphics and Applications, Pacific Graphics 2018 ; Conference date: 08-10-2018 Through 11-10-2018",
year = "2018",
doi = "10.2312/pg.20181272",
language = "English (US)",
series = "Proceedings - Pacific Conference on Computer Graphics and Applications",
publisher = "IEEE Computer Society",
pages = "25--28",
editor = "Hongbo Fu and Abhijeet Ghosh and Johannes Kopf",
booktitle = "Pacific Graphics 2018 - 26th Pacific Conference on Computer Graphics and Applications, Short Papers and Posters Proceedings",
address = "United States",
}