IEEE Trans Vis Comput Graph. 2017 Jun;23(6):1663-1676. doi: 10.1109/TVCG.2016.2542073. Epub 2016 Mar 15.
This work presents a novel framework for spherical mesh parameterization. An efficient angle-preserving spherical parameterization algorithm is introduced, which is based on dynamic Yamabe flow and the conformal welding method with solid theoretic foundation. An area-preserving spherical parameterization is also discussed, which is based on discrete optimal mass transport theory. Furthermore, a spherical parameterization algorithm, which is based on the polar decomposition method, balancing angle distortion and area distortion is presented. The algorithms are tested on 3D geometric data and the experiments demonstrate the efficiency and efficacy of the proposed methods.
本工作提出了一种新颖的球网格参数化框架。引入了一种高效的保角球参数化算法，该算法基于动态 Yamabe 流和具有坚实理论基础的共形焊接方法。还讨论了基于离散最优质量传输理论的保面积球参数化。此外，还提出了一种基于极分解方法的球参数化算法，平衡角度变形和面积变形。在 3D 几何数据上对算法进行了测试，实验证明了所提出方法的效率和有效性。
