COMPUTER GRAPHICS ASSIGNMENT
Attempt all questions. Each question carries equal mark..Parts of a question must be answered together.
Q1. Derive the equation of kth intensity level of a video monitor.
Q2. Consider a parallel projection with the plane of projection having the normal (1, 0, -1) and having a direction of projection d = (-1 , 0, 0 ). Is it an orthographic projection? Justify your answer.
Q3. Write the steps of scan conversion of a line using Bresenham's algorithm. Digitize the line segment between the points (0, 2) and (4, 5) using Bresenham's algorithm.
Q4. A polygon has four vertices located at A (20, 10), B (60, 10), C (60, 30) and D (20, 30). Indicate a transformation matrix to double its size with point A located at the same place.
Q5. In a 512 x 512 raster on a monochrome display with an average access rate of 200 nanoseconds per pixel, what is the refresh rate?
Q6. Write the steps of Gourand interpolation shading technique.
Q7. The reflection along the line y = x is equivalent to the reflection along the X- axis followed by counter clockwise rotation by θ degree. Find the value of θ.
Q8. A cubic Bezier curve is to be drawn given the control points P1 (40, 40), P2 (10, 40), P3 (60, 60), P4 (60, 0). Calculate the coordinates of the points on the curve at t= 0.2, 0, 4 and 0.6.
Q9. Derive the matrix of parallel projection onto XY plane in the direction of projection V = ai +bj +ck.
Q10. Clip the following polygon using Sutherland - Hodgman polygon clipping algorithm:
