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A spherical parameterization approach based on symmetry analysis of triangular meshes

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Abstract

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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Correspondence to Xiu-ping Liu.

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Project supported by the National Natural Science Foundation of China (Nos. 60673006 and 60533060), the Program for New Century Excellent Talents in University (No. NCET-05-0275), China, and the IDeA Network of Biomedical Research Excellence Grant (No. 5P20RR01647206) from National Institutes of Health (NIH), USA

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Hu, Jp., Liu, Xp., Su, Zx. et al. A spherical parameterization approach based on symmetry analysis of triangular meshes. J. Zhejiang Univ. Sci. A 10, 1009–1017 (2009). https://doi.org/10.1631/jzus.A0820728

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  • DOI: https://doi.org/10.1631/jzus.A0820728

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