# Technical Report CIS9619

 TR#: CIS9619 Class: CIS Title: The Bisector Surface of Freeform Rational Space Curves Authors: G. Elber and M-S. Kim PDF CIS9619.pdf 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). 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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