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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/151276


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    題名: Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations
    作者: 郭岳承
    Kuo, Yueh-Cheng;Lin, Wen-Wei;Yueh, Mei-Heng;Yau, Shing-Tung
    貢獻者: 應數系
    關鍵詞: disk conformal parameterization;conformal energy minimization;simply connected open surface
    日期: 2021-12
    上傳時間: 2024-05-24 11:34:25 (UTC+8)
    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.
    關聯: SIAM Journal on Imaging Sciences, Vol.14, No.4, pp.1790-1815
    資料類型: article
    DOI 連結: https://doi.org/10.1137/21M1415443
    DOI: 10.1137/21M1415443
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