Curve and surface design
1.

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

A.

the major diameter

B.

the minor diameter

C.

semi major diameter

D.

semi-minor diameter

2.

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.

A.

larger than

B.

smaller than

C.

equal to

D.

none of the above

3.

In synthetic curves, zero-order continuity yields

A.

a position continuous curve

B.

a slope continuous curve

C.

a curvature continuous curve

D.

none of the above

4.

In synthetic curves, first-order continuity yields

A.

a position continuous curve

B.

a slope continuous curve

C.

a curvature continuous curve

D.

none of the above

5.

In synthetic curves, second-order continuity yields

A.

a position continuous curve

B.

a slope continuous curve

C.

a curvature continuous curve

D.

none of the above

6.

The B-spline curve has a

A.

first-order continuity

B.

second-order continuity

C.

zero-order continuity

D.

none of the above

7.

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

A.

B-spline curve

B.

Hermite Cubic Spline Curve

C.

Beizer curve

D.

none of the mentioned

8.

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

A.

lower

B.

higher

C.

lower and higher both

D.

none of the above

9.

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

A.

normal

B.

parallel

C.

tangent

D.

none of the above

10.

________curves allow local control of the curve.

A.

Analytical

B.

Hermite cubic spline

C.

Beizer

D.

B-Spline