Curve and surface design Questions

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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

Correct Answer: A

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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

Correct Answer: C

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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

Correct Answer: A

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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

Correct Answer: B

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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

Correct Answer: C

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6.

The B-spline curve has a

A

first-order continuity

B

second-order continuity

C

zero-order continuity

D

none of the above

Correct Answer: B

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7.

To determine the coefficients of the equation

A

B-spline curve

B

Hermite Cubic Spline Curve

C

Beizer curve

D

none of the mentioned

Correct Answer: B

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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

Correct Answer: B

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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

Correct Answer: C

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10.

________curves allow local control of the curve.

A

Analytical

B

Hermite cubic spline

C

Beizer

D

B-Spline

Correct Answer: D

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