Download DU (University of Delhi) B-Tech 5th Semester 6193 Computer Graphics Question Paper

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SI. No. of Ques. Paper 16193 F-5

Unique Paper Code : 2341503

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Name of Paper : Computer Graphics

Name of Course : B.Tech. Computer Science

Semester 2V

Duration : 3 hours

Maximum Marks : 78

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(Write your Roll No. on the top immediately on receipt of this question paper.)

The question paper consists of two Sections. Section A is compulsory.

Attempt any four questions from Section B.

SECTION A

1. (a) Consider a raster system with a resolution of 250x250. For a 10X11 screen, find the radius of each pixel. 3

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2. (b) What is interlacing? 2
3. (a) Differentiate between DDA and Bresenham Line Drawing algorithm. 3
4. (b) Discuss any two methods to draw a thick primitive. 2
5. (a) Give the structure of Global Edge table used in Polygon filling algorithm. 2
6. (b) Prove that two successive scaling operations are commutative. 3

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7. (a) Show that the following 2d matrix represents a pure rotation: 3
   1-λ² 2λ
   1+λ² 1+λ²
   = =t
   1:ke2. 14

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8. (b) What is the value of Center of Projection w.r.t. parallel and perspective projection? 2
9. (a) Give the 3D rotation matrices for rotation by @, # and y about X-axis, Y-axis and Z-axis respectively. 3
10. (b) Why is depth sort algorithm also known as Painter’s algorithm? 2
11. (a) What are the properties of Bezier curve? 2
12. (b) What do you mean by ambient reflection and diffuse reflection? 3

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13. (a) What is the difference between Y in CMY and Y in YIQ color models respectively? 2
14. (b) How does the frame spacing control the motion simulated in an animation scene? 3

SECTION B

8. (a) Indicate raster positions that would be chosen while scan converting region 1 of an ellipse with major axis as 8 and minor axis as 5. The ellipse is centered at origin. 6
9. (b) Briefly explain the working of Liquid Crystal Display. 4

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10. (a) Use the Cohen Sutherland algorithm to clip line P1 (70, 20) and P2 (100, 10) against a window lower left hand corner (50, 10) and upper right hand corner (80, 40). 6
11. (b) Consider the polygon with vertices A (2, 3), B (8, 3), C (8, 6), D (10, 6), E (10, 9) and F(5, 9). Write steps to fill this polygon using Odd-Parity rule. 4
12. (a) The coordinates of square ABCD are A (0, 0), B (0,4),C (4,4),and D (4, 0). Scale it to half the size w.r.t. the fixed point that is the center of the square. 5
13. (b) What are rigid body transformations? Determine the conditions under which the generalized 2X2 transformation matrix represents a rigid body transformation. 5
14. (a) Write the 3D transformation matrices for the following:
    1. Uniform scaling by a factor of 2 w.r.t. the fixed point (1, 1, 2, 1). 3

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    2. Translation right by 2 units and up by 4 units. 2
    3. Rotate about X-axis by 30° followed by rotation about z-axis by 45° 2
    4. Two-point perspective projection on z=0 plane with Centre of Projection (COP) lying on X-axix as 2-0 and COP lying along y-axis as -1-0. 3
15. (a) Given a sequence of control points p0 (0, 0, 0), p1 (1, 2, 0), p3 (3, 1, 0). Write a formula for the Bezier curve formed from above three points. Use the formula to calculate the point t=1/3 and the tanget at that point. 5

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16. (b) Define morphing. Specify the rules to equalize the set of edges in key frames Kand K+1. 5
17. (a) Differentiate between halftoning and dithering. 4
18. (b) List the data structures used in Z-buffer algorithm for visible surface determination, along with the description of the values stored in them. 3
19. (c) Briefly explain the Gourand shading model. 3

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