Learning-Based Intrinsic Reflectional Symmetry Detection
文献类型:期刊论文
作者 | Qiao, Yi-Ling4,6; Gao, Lin1,4; Liu, Shu-Zhi1,4; Liu, Ligang5; Lai, Yu-Kun3; Chen, Xilin2 |
刊名 | IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS
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出版日期 | 2023-09-01 |
卷号 | 29期号:9页码:3799-3808 |
关键词 | Mesh processing symmetry detection deep learning intrinsic reflectional symmetry laplacian eigenanalysis |
ISSN号 | 1077-2626 |
DOI | 10.1109/TVCG.2022.3172361 |
英文摘要 | Reflectional symmetry is a ubiquitous pattern in nature. Previous works usually solve this problem by voting or sampling, suffering from high computational cost and randomness. In this article, we propose a learning-based approach to intrinsic reflectional symmetry detection. Instead of directly finding symmetric point pairs, we parametrize this self-isometry using a functional map matrix, which can be easily computed given the signs of Laplacian eigenfunctions under the symmetric mapping. Therefore, we manually label the eigenfunction signs for a variety of shapes and train a novel neural network to predict the sign of each eigenfunction under symmetry. Our network aims at learning the global property of functions and consequently converts the problem defined on the manifold to the functional domain. By disentangling the prediction of the matrix into separated bases, our method generalizes well to new shapes and is invariant under perturbation of eigenfunctions. Through extensive experiments, we demonstrate the robustness of our method in challenging cases, including different topology and incomplete shapes with holes. By avoiding random sampling, our learning-based algorithm is over 20 times faster than state-of-the-art methods, and meanwhile, is more robust, achieving higher correspondence accuracy in commonly used metrics. |
资助项目 | Beijing Municipal Natural Science Foundation for Distinguished Young Scholars[JQ21013] ; National Natural Science Foundation of China[62061136007] ; National Natural Science Foundation of China[61872440] ; Royal Society Newton Advanced Fellowship[NAF-R2-192151] ; Youth Innovation Promotion Association CAS |
WOS研究方向 | Computer Science |
语种 | 英语 |
WOS记录号 | WOS:001041912300006 |
出版者 | IEEE COMPUTER SOC |
源URL | [http://119.78.100.204/handle/2XEOYT63/21375] ![]() |
专题 | 中国科学院计算技术研究所期刊论文_英文 |
通讯作者 | Gao, Lin; Chen, Xilin |
作者单位 | 1.Chinese Acad Sci, Inst Comp Technol, Beijing Key Lab Mobile Comp & Pervas Device, Beijing 101408, Peoples R China 2.Chinese Acad Sci, Inst Comp Technol, Beijing 101408, Peoples R China 3.Cardiff Univ, Sch Comp Sci & Informat, Cardiff CF10 3AT, Wales 4.Univ Chinese Acad Sci, Beijing 101408, Peoples R China 5.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China 6.Univ Maryland, College Pk, MD 20742 USA |
推荐引用方式 GB/T 7714 | Qiao, Yi-Ling,Gao, Lin,Liu, Shu-Zhi,et al. Learning-Based Intrinsic Reflectional Symmetry Detection[J]. IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS,2023,29(9):3799-3808. |
APA | Qiao, Yi-Ling,Gao, Lin,Liu, Shu-Zhi,Liu, Ligang,Lai, Yu-Kun,&Chen, Xilin.(2023).Learning-Based Intrinsic Reflectional Symmetry Detection.IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS,29(9),3799-3808. |
MLA | Qiao, Yi-Ling,et al."Learning-Based Intrinsic Reflectional Symmetry Detection".IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS 29.9(2023):3799-3808. |
入库方式: OAI收割
来源:计算技术研究所
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