| dc.contributor | 應數系 | |
| dc.creator (作者) | 郭岳承 | |
| dc.creator (作者) | Kuo, Yueh-Cheng;Lin, Wen-Wei;Yueh, Mei-Heng;Yau, Shing-Tung | |
| dc.date (日期) | 2021-12 | |
| dc.date.accessioned | 24-May-2024 11:34:25 (UTC+8) | - |
| dc.date.available | 24-May-2024 11:34:25 (UTC+8) | - |
| dc.date.issued (上傳時間) | 24-May-2024 11:34:25 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/151276 | - |
| dc.description.abstract (摘要) | Surface conformal parameterizations have been widely applied to various tasks in computer graphics. In this paper, we develop a convergent conformal energy minimization (CCEM) iterative algorithm via the line-search gradient descent method with a quadratic approximation for the computation of disk-shaped conformal parameterizations of simply connected open triangular meshes. In addition, we prove the global convergence of the proposed CCEM iterative algorithm. Moreover, under some mild assumptions, we prove the existence of a nontrivial solution, which is a local minimum of the conformal energy with a bijective boundary map. The numerical experiments indicate that the efficiency of the proposed CCEM algorithm is greatly improved and that the accuracy is competitive with that of state-of-the-art algorithms. | |
| dc.format.extent | 98 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | SIAM Journal on Imaging Sciences, Vol.14, No.4, pp.1790-1815 | |
| dc.subject (關鍵詞) | disk conformal parameterization; conformal energy minimization; simply connected open surface | |
| dc.title (題名) | Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1137/21M1415443 | |
| dc.doi.uri (DOI) | https://doi.org/10.1137/21M1415443 | |
