CGVRS(COMPUTER GRAPHICS AND VIRTUAL REALITY SYSTEMS) December 2012 Semester 5th Third Year BE IT Information Technology

 CGVRS(COMPUTER GRAPHICS AND VIRTUAL REALITY SYSTEMS) December 2012 Semester 5th Third Year BE IT Information Technology

Con. 7588-12.                                                                                      KR-5147
                                                    (3 Hours)                                 [ Total Marks: 100]

N.B. (1) Question No. 1 is compulsory.
        (2) Attempt any four out of remaining six questions.
        (3) Assume suitable data if necessary and state the assumptions clearly.

1. Solve any four :-
        (a) Draw and explain basic block diagram of virtual system. [5 Marks]
        (b) Explain the significance of Homogeneous Co-ordinate System [5 Marks]
        (c) Rotate a triangle ABC by an angle 30◦ where the triangle has co-ordinates
                    A(0,0), B(10, 2) and C(7, 4) [5 Marks]
        (d) Compare DDA line algorithm with Bresecnham's algorithm. [5 Marks]
        (e) List at least three input and three otput devices of VR system and explain any
             one device in detail. [5 Marks]

2. (a) Prove that a shear transform can be expressed in items of rotation and scaling
         operations. [7 Marks]
    (b) Specify highlights and drawback of Bezier curves. Construct the Bezier curve
         of order three control points P1 (0,0), P2(1, 3(4,2) and P4(2, 1). generate
         at least five points on the curve [13 Marks]

3. (a) Describe any two VR architectures with neat diagram. [10 Marks]
    (b) What are fractals ? Derive an equation D = log N/log S. Outline the procedure of generating
         Koch curve or Hilbert curve. [10 Marks]

4. (a) Develop a single transformation matrix which does the following on given object :- [6 Marks]
            (i) Reducse the size by 1/2
            (ii) Rotates about Y axis by (-30◦)
            (iii) Performs a single point perspective transformation projection to z = 0
                  and z = 10.
    (b) Derive a 3D inverse transformattion for translation and scaling. [4 Marks]

    (c) Explain with example Sutherland-Hodgeman polygon clipping algorithm. List the short
        comings of this method, if any. [10 Marks]

5. (a) What are the different types of projection ? Dderive the matrix reperesentation for
         perspective transformation in XY plane and on negative Z-axis. [10 Marks]
    (b) Explain flood fill algorithm using four and cight connected method with suitable example and
         diagrams. Compare the same with boundry fill algorithm.[10 Marks]

6. (a) Compare the capabilities and limitations of geomatri and kinematic modeling techniques.
    (b) Compare -
              (i) Mesh and features based warping [ 5Marks]
              (ii) 2D and 3D mprphing. [ 5Marks]

7 (a) Using Liang Barsky Algorithm, find the clipping co-ordinates of line segment with end
        co-ordinate      A(-10, 50) and B(30, 80) against the window (Xmin=-30, Ymin =10)
        (Xmax = 20, y max -60). [10 Marks]
   (b) Write detailed note on VR applications. [10 Marks]

Also see Computer graphics and virtual reality systems question papers for December 2010