Discrete Calabi Flow: A Unified Conformal Parameterization Method

dc.contributor.authorSu, Kehuaen_US
dc.contributor.authorLi, Chenchenen_US
dc.contributor.authorZhou, Yumingen_US
dc.contributor.authorXu, Xuen_US
dc.contributor.authorGu, Xianfengen_US
dc.contributor.editorLee, Jehee and Theobalt, Christian and Wetzstein, Gordonen_US
dc.date.accessioned2019-10-14T05:10:20Z
dc.date.available2019-10-14T05:10:20Z
dc.date.issued2019
dc.description.abstractConformal parameterization for surfaces into various parameter domains is a fundamental task in computer graphics. Prior research on discrete Ricci flow provided us with promising inspirations from methods derived via Riemannian geometry, which is rigorous in theory and effective in practice. In this paper, we propose a unified conformal parameterization approach for turning triangle meshes into planar and spherical domains using discrete Calabi flow on piecewise linear metric. We incorporate edgeflipping surgery to guarantee convergence as well as other significant improvements including approximate Newton's method, optimal step-lengths, priority embedding and boundary customizing, which achieve better performance and functionality with robustness and accuracy.en_US
dc.description.number7
dc.description.sectionheadersSurface and Texture
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume38
dc.identifier.doi10.1111/cgf.13873
dc.identifier.issn1467-8659
dc.identifier.pages707-720
dc.identifier.urihttps://doi.org/10.1111/cgf.13873
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13873
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.titleDiscrete Calabi Flow: A Unified Conformal Parameterization Methoden_US
Files
Collections