Abstract
This paper presents a simple and robust method for computing the bisector of two planar rational curves. We represent the correspondence between the foot points on two planar rational curves C 1( t) and C 2( r) as an implicit curve F ( t, r)=0, where F ( t, r) is a bivariate polynomial B-spline function. Given two rational curves of degree m in the xy-plane, the curve F ( t, r)=0 has degree 4 m−2, which is considerably lower than that of the corresponding bisector curve in the xy-plane.
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