Tessellation of Quadratic Elements
نویسندگان
چکیده
Topology-based methods have been successfully used for the analysis and visualization of piecewise-linear functions defined on triangle meshes. This paper describes a mechanism for extending these methods to piecewise-quadratic functions defined on triangulations of surfaces. Each triangular patch is tessellated into monotone regions, so that existing algorithms for computing topological representations of piecewiselinear functions may be applied directly on the piecewise-quadratic function. In particular, the tessellation is used for computing the Reeb graph, which provides a succinct representation of level sets of the function.
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