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. CR Categories: 1.3.5 [Computer Graphics]: Computational Geometry and Object Modeling, Curve, Surface, Solid, and Object Representations, Splines, n-holed tori, hyperbolic octagon, linear fractional transformation. © Springer-Verlag Berlin Heidelberg 2003.
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CITATION STYLE
Grimm, C., & Hughes, J. (2003). Parameterizing n-holed tori. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2768, 14–29. https://doi.org/10.1007/978-3-540-39422-8_2
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