Computer Graphics and Visualization - Dec 2013

Computer Science Engg. (Semester 6)

TOTAL MARKS: 100
TOTAL TIME: 3 HOURS (1) Question 1 is compulsory.
(2) Attempt any four from the remaining questions.
(3) Assume data wherever required.
(4) Figures to the right indicate full marks. 1 (a) Briefly explain the applications of computer graphics.(8 marks) 1 (b) Explain the process of image formation with pinhole camera as an example. Derive the expression for angle of view.(12 marks) 2 (a) Write an openGL recursive program for 3D Sierpinski gasket with relevant comments.(12 marks) 2 (b) Explain the seven major groups of functions of a good API.(8 marks) 3 (a) Enlist the features of good interactive program.(6 marks) 3 (b) How pop-up means are created using GLUT? Illustrate with an example.(10 marks) 3 (c) What is double buffering? Explain the advantages of double buffering.(4 marks) 4 (a) What are vertex arrays? Show how vertex arrays can be used to represent a cube in openGL.(10 marks) 4 (b) A square in a two dimensional system is specified by its vertices (6,6) (10, 6) (10, 10) and (6, 10). implement the following by its first finding a composite transformation matrix for the sequence of transformation.
i) Rotate the square by 45° about its vertex (6, 6)
ii) Scale the original square by a factor of 2 about its centre.(10 marks) 5 (a) Obtain the matrix representation for rotation of a point about an arbitrary axis in it 3D space.(10 marks) 5 (b) Show that the following three dimensional sequence are commute.
i) A rotation and a uniform scaling.
ii) Two rotations about the same axis.(10 marks) 6 (a) Briefly explain the perspective and parallel views in lopenGL. Give example.(10 marks) 6 (b) What is mesh? With example explain how meshes are generated.(10 marks) 7 (a) Describe the phong lighting model. What are its advantages?(10 marks) 7 (b) Briefly explain the different types of light sources supported openGL.(10 marks) 8 (a) Use Liang Barsky line clipping algorithm to clip a line from starting point (30, 15) and ending point (65, 35) against the window having its lower left corner at (40, 10) and upper right corner at (75, 25).(10 marks) 8 (b) Use Bresenham's line algorithm to digitalize a line from point (0,0) to point (6,4).(10 marks)