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Fundamentals of Computational Conformal Geometry

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Abstract

Computational conformal geometry is an inter-disciplinary field between mathematics and computer science. This work introduces the fundamentals of computational conformal geometry, including theoretic foundation, computational algorithms, and engineering applications. Two computational methodologies are emphasized, one is the holomorphic differentials based on Riemann surface theory and the other is surface Ricci flow from geometric analysis.

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Authors and Affiliations

  1. Computer Science Department, Computer Science Building 2425, SUNY at Stony Brook, Stony Brook, NY, 11794-4400, USA

    David Xianfeng Gu

  2. Department of Mathematics, Rutgers University, Hill Center-Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ, 08854, USA

    Feng Luo

  3. Mathematics Department, Harvard University, 1 Oxford Street, Cambridge, MA, 02138, USA

    Shing-Tung Yau

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  1. David Xianfeng Gu
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  2. Feng Luo
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  3. Shing-Tung Yau
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Correspondence to David Xianfeng Gu.

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This work was completed with the support of NSF, NIH and ONR.

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Gu, D.X., Luo, F. & Yau, ST. Fundamentals of Computational Conformal Geometry. Math.Comput.Sci. 4, 389 (2010). https://doi.org/10.1007/s11786-011-0065-6

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