|Title:||Rational Bisectors of CSG Primitives
|Authors:||Gershon Elber and Myung-Soo Kim
|Abstract:||The bisector surface of two rational surfaces in $\Reals^3$ is non-rational, in general. However, in some special cases, the bisector surfaces can have rational parameterization. This paper classifies some of these special cases that are related to constructive solid geometry (CSG). We consider the bisector surfaces between points, lines, planes, spheres, cylinders, cones, and tori. Many cases are shown to yield rational bisector surfaces, while several other cases are still left as open questions.|
|Copyright||The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information|
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