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Code No: N0302
Set No. 1
IV B.Tech I Semester Regular Examinations, November 2009
CAD-CAM
( Common to Mechanical Engineering, Metallurgy & Material Technology,
Production Engineering and Aeronautical Engineering)
Time: 3 hours
Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. What is a 21/2 D model? Sketch some examples.
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2. Given three points P1, P2 and P3 that belong to a geometric model and given three
other points Q1, Q2 and Q3 find the transformation matrix [T] that:
(a) Transforms P1 to Q1
(b) Transforms the direction of the vector (P2- P1) into the direction of the vector
(Q2- Q1)
(c) Transforms the plane of the three points P1, P2 and P3 into the plane of Q1,
Q2 and Q3.
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3. The figure 3 shows six points.
Figure 3
(a) Find the equation of the Bezier surface defined by the six data points. Use
the u and v directions shown. Find the surface tangent and normal vectors at
point u = 0.5 and v = 0.5.
(b) Find the two quadratic Bezier curves that bound the Bezier surface. Find
the equation of the ruled surface that uses the two curves as its rails. Is it
identical to Bezier surface?
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4. Three point sets in E2 define three valid polygonal solids S1, S2 and S3. The three
solids are bounded by three boundary sets bS 1, bS2 and bS3 given by their comer
points as: bS1 := {(2, 2), (5, 2), (5, 5), (2, 5)}, bS2 = {(3, 3), (7, 3), (7, 6), (3, 6)} and
bS3 = {(4, 1), (6, 1), (6, 4), (4, 4)}. Find S1 ∪ S2 ∪ S3, S1 ∩ S2 ∩ S3 and S1 - S2 - S3.
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