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Impact Factor:2.5

DOI number:10.1111/cgf.13660

Affiliation of Author(s):WILEY

Journal:COMPUTER GRAPHICS FORUM

Place of Publication:111 RIVER ST, HOBOKEN 07030-5774, NJ

Key Words:mesh parametrization;deformation;constant mean curvature;rotation;unit normal flow

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.

Co-author:Li Chenchen,Zhang Boyu,Yang Lei,Lei Na,Wang Xiaoling,Goltler, Steven J.,Gu Xianfeng

First Author:Zhao Hui

Indexed by:Article

Correspondence Author:Su Kehua

Document Type:J

Volume:39

Issue:1

Page Number:34-49

ISSN No.:0167-7055

Translation or Not:no

Date of Publication:2020-03-31

Included Journals:SCI、EI