Abstract
We define a parameterization for an n-holed tori based on the hyperbolic polygon. We model the domain using a manifold with 2n+2 charts, and linear fractional transformations for transition functions. We embed the manifold using standard spline techniques to produce a surface.
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Grimm, C., Hughes, J. (2003). Parameterizing N-Holed Tori. In: Wilson, M.J., Martin, R.R. (eds) Mathematics of Surfaces. Lecture Notes in Computer Science, vol 2768. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39422-8_2
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DOI: https://doi.org/10.1007/978-3-540-39422-8_2
Publisher Name: Springer, Berlin, Heidelberg
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