A spherical parameterization approach based on symmetry analysis of triangular meshes

A spherical parameterization approach based on symmetry analysis of triangular meshes
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一种基于三角形网格对称性分析的球面参数化方法

DOI:
10.1631/jzus.a0820728
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发表时间:
2009-07
影响因子:
3.2
通讯作者:
Hu, Jian-ping
Hu, Jian-ping
中科院分区:
工程技术3区
文献类型:
--
作者:
Liu, Xiu-ping;Liu, Feng-shan;Su, Zhi-xun;Shi, Xi-quan;Hu, Jian-ping

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我们提出了一种有效的球面参数化方法,旨在同时减少面积和角度畸变。我们通过独立建立两个半球参数化来生成最终的球面映射。该方法的实质是利用三维网格的对称性分析将球面参数化简化为平面问题。实验和比较了各种非平凡的3D模型,表明我们的方法是高效和鲁棒的。特别是,我们的方法为接近球体的物体产生了几乎等距的参数化。
We present an efficient spherical parameterization approach aimed at simultaneously reducing area and angle distortions. We generate the final spherical mapping by independently establishing two hemisphere parameterizations. The essence of the approach is to reduce spherical parameterization to a planar problem using symmetry analysis of 3D meshes. Experiments and comparisons were undertaken with various non-trivial 3D models, which revealed that our approach is efficient and robust. In particular, our method produces almost isometric parameterizations for the objects close to the sphere.
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