Optimal Parameterization of Rational Quadratic Curves
Optimal Parameterization of Rational Quadratic Curves
Given a parametric curve , a recurrent problem in applications such as CAD/CAM applications is to determine its optimal parameterization. This usually means to come as close as possible to the arc length parameterization such that, for constant parameter intervals, the curve exhibits a point spacing that is as uniform as possible. This Demonstration implements and illustrates an analytical solution to this problem in the case that is a rational quadratic Bézier curve (conic section).
C(t)
C(t)