Technical Report CIS9619

Title: The Bisector Surface of Freeform Rational Space Curves
Authors: G. Elber and M-S. Kim
Abstract: Given a point and a rational curve in the plane, their bisector curve is rational [2]. However, the bisector of two rational curves in the plane is not rational, in general [3]. Given a point and a rational {\em space} curve, this paper shows that the bisector surface is a rational ruled surface. Moreover, given two rational space curves, we show that the bisector surface is rational (except for the degenerate case in which the two curves are coplanar).
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