Surface parameterization using Riemann surface structure

  title={Surface parameterization using Riemann surface structure},
  author={Yalin Wang and Xianfeng Gu and Kiralee M. Hayashi and Tony F. Chan and Paul M. Thompson and Shing-Tung Yau},
  journal={Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1},
  pages={1061-1066 Vol. 2}
We propose a general method that parameterizes general surfaces with complex (possible branching) topology using Riemann surface structure. Rather than evolve the surface geometry to a plane or sphere, we instead use the fact that all orientable surfaces are Riemann surfaces and admit conformal structures, which induce special curvilinear coordinate systems on the surfaces. We can then automatically partition the surface using a critical graph that connects zero points in the global conformal… CONTINUE READING
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