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Posted By: BHARATH Member Level: Gold Posted Date: 19 Feb 2008
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2007 Jawaharlal Nehru Technological University Mechanical Engineering IV B.Tech II Semester Regular Examinations, Apr/May 2007 COMPUTER GRAPHICS Question paper
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Code No: RR420306 Set No. 1 IV B.Tech II Semester Regular Examinations, Apr/May 2007 COMPUTER GRAPHICS ( Common to Mechanical Engineering and Production Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ? ? ? ? ? 1. (a) Explain an algorithm for ellipse generation. (b) If a TV screen has 525 scan lines and an aspect ratio of 3:4,and if each pixel contains 8 bits worth of intensity information, how many bits per second are required to show 30 frames each second? [12+4] 2. (a) Explain the role of display interpreter in graphical display, with a block dia- gram. (b) What is meant by normalized device co-ordinate system? What are its advan- tage? [6+10] 3. Give 3x3 homogeneous-coordinate transformation matrix which will have the same effect as each of the following transformation techniques: (a) Translate down 1 unit and right 1 unit , and then rotate counter-clockwise by 45 degrees. (b) Scale the y coordinate to make the image twice as tall, shift it down 1 unit rotate clockwise by 30 degrees. [8+8] 4. What are the various operations to be performed on the segments? Discuss various data structures that can be used for storing segments in the display files. [16] 5. Explain the Cohen-Sutherland algorithm for finding the category of a line segment. Show clearly how each category is handled by the algorithm. [16] 6. Explain the following: (a) 1-Point, 2-point perspective projections. (b) Viewing parameters. [8+8] 7. Write about the following: (a) Gourand shading. (b) Painter’s algorithm. [8+8] 8. (a) Explain display processor system. [8+8] (b) Write about B-splines. ? ? ? ? ? 1 of 1 Code No: RR420306 Set No. 2 IV B.Tech II Semester Regular Examinations, Apr/May 2007 COMPUTER GRAPHICS ( Common to Mechanical Engineering and Production Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ? ? ? ? ? 1. (a) Explain the ‘stroke method’and the ‘bitmap method’ for generating characters. (b) Discuss the antialiasing methods for lines. [8+8] 2. (a) Briefly explain the steps involved in scan-line algorithm for polygon filling. (b) What are the merits and demerits of flood-fill and scan-line algorithms?[10+6] 3. Give 3x3 homogeneous-coordinate transformation matrix which will have the same effect as each of the following transformation techniques: (a) Scale the image to be twice as large and then rotate counter-clockwise by 90 degrees about the origin. (b) Rotate clockwise about the origin by 45 degrees and then scale the y-direction to be one-half as large. [8+8] 4. Write procedures for creating and closing segments. [16] 5. Explain the Cohen-Sutherland algorithm for finding the category of a line segment. Show clearly how each category is handled by the algorithm. [16] 6. (a) Give a brief account on three-dimensional rotations. (b) Show the sequence of transformations for rotating an object about an axis that is parallel to the x axis [6+10] 7. Describe, in detail, Gouraud shading.Using Gouraud shading, if pixels A,B,C and D have the intensities A: 0.3 B: 0.11 C: 0.5 D: 0.2 What intensities should be assigned to pixels E and F? as shown as in figure7 Figure 7 [16] 1 of 2 Code No: RR420306 Set No. 2 8. Describe Bezier surface generation technique with examples. [16] ? ? ? ? ? 2 of 2 Code No: RR420306 Set No. 3 IV B.Tech II Semester Regular Examinations, Apr/May 2007 COMPUTER GRAPHICS ( Common to Mechanical Engineering and Production Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ? ? ? ? ? 1. (a) Explain an algorithm for ellipse generation. (b) If a TV screen has 525 scan lines and an aspect ratio of 3:4,and if each pixel contains 8 bits worth of intensity information, how many bits per second are required to show 30 frames each second? [12+4] 2. (a) Explain and demonstrate with suitable examples“ the even-odd method”of determining the polygon interior points. (b) Explain the flood-fill algorithm for filling polygons. [8+8] 3. Give 3x3 homogeneous-coordinate transformation matrix which will have the same effect as each of the following transformation techniques: (a) Scale the image to be twice as large and then rotate counter-clockwise by 90 degrees about the origin. (b) Rotate clockwise about the origin by 45 degrees and then scale the y-direction to be one-half as large. [8+8] 4. Derive the window-to-view port transformation equations by first scaling the win- dow to the size of the view port and then translating the scaled window to the view port position. [16] 5. Explain the Cohen-Sutherland algorithm for finding the category of a line segment. Show clearly how each category is handled by the algorithm. [16] 6. (a) Derive the transformation that rotates an object point ? degree about the x-axis. Write the matrix representation for this rotation . (b) Write a short notes on parallel projections. [10+6] 7. Describe, in detail, Gouraud shading.Using Gouraud shading, if pixels A,B,C and D have the intensities A: 0.3 B: 0.11 C: 0.5 D: 0.2 What intensities should be assigned to pixels E and F? as shown as in figure7 1 of 2 Code No: RR420306 Set No. 3 Figure 7 [16] 8. (a) What are the advantages of B-splines over Bezier Curves? (b) Differentiate between interpolation and approximation in spline representa- tions. (c) Give the applications of raster scan graphics. [4+5+7] ? ? ? ? ? 2 of 2 Code No: RR420306 Set No. 4 IV B.Tech II Semester Regular Examinations, Apr/May 2007 COMPUTER GRAPHICS ( Common to Mechanical Engineering and Production Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ? ? ? ? ? 1. (a) Illustrate the applications of computer graphics. (b) What is the stair-care effect in line generation? [8+8] 2. (a) Explain and demonstrate with suitable examples“ the even-odd method”of determining the polygon interior points. (b) Explain the flood-fill algorithm for filling polygons. [8+8] 3. Prove that a line can be transformed by applying the transformation to the end points of the line and then constructing a new line between the transformed end points. [16] 4. Derive the window-to-view port transformation equations by first scaling the win- dow to the size of the view port and then translating the scaled window to the view port position. [16] 5. Explain the logic of the Sutherland-Hodgman algorithm with the help of a neat flowchart. Illustrate the working of your flowchart with the help of a suitable example. [16] 6. (a) Give a brief account on three-dimensional rotations. (b) Show the sequence of transformations for rotating an object about an axis that is parallel to the x axis [6+10] 7. Write about the following: (a) Gourand shading. (b) Painter’s algorithm. [8+8] 8. Explain the following: (a) Simple raster display system (b) Sweeping method of interpolation. [8+8] ? ? ? ? ? 1 of 1
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