Mathematically, the ellipse is a curve generated by a point moving in space such that at any position the sum of its distances from two fixed points (foci) is constant and equal to

The parabola is defined mathematically as a curve generated by a point that moves such that its distance from the focus is always__________the distance to the directrix.

In synthetic curves, zero-order continuity yields

In synthetic curves, first-order continuity yields

In synthetic curves, second-order continuity yields

The B-spline curve has a

To determine the coefficients of the equation – two end-points and the two tangent vectors. This statement is true for which of the following?

The Bezier curve is smoother than the Hermite cubic spline because it has _________ order derivatives.

In the bezier curve, the curve is always________to first and last segments of the polygon

________curves allow local control of the curve.