Parameterizing N-Holed Tori

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: I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling, Curve, Surface, Solid, and Object Representations, Splines, n-holed tori, hyperbolic octagon, linear fractional transformation

• Type: Conference
• Year: 2003
• Where: IMAMS
• Authors: Cindy Grimm, John F. Hughes
• Keywords: Hyperbolic Polygon, IMAMS 2003, Linear Fractional Transformation, Mathematics, N-holed Tori