IGNOU MMTE 4 SOLVED ASSIGNMENT

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MMTE 4 2025 - English

Assignment

Course Code: MMTE-004

Assignment Code: MMTE-004/TMA/2025

Maximum Marks: 100

1. a) Have you used or seen used computer graphics in day-to-day life? How? Explain.

b) Explain the difference between the random scan and raster scan display devices.

c) Consider a non-interlaced raster system with resolution 1024 x1248 , and retrace rate of 40 frames per second. While displaying a frame, an electron beam spends 2 micro seconds in horizontal retrace, and 100 micro seconds in vertical retrace. Compute the fraction of the total refresh time per frame in retracing of the electron beam.

2. a) Modify the program given in Listing 1 of Unit 2 at page 25 of your SLM to draw the following shape

b) Compute the pixel positions along the line path of the line joining the points A(-1, 1) and B(7, 9) using the DDA Algorithm.

c) Write a C program to plot the cosine function from 0 to 2π, taking symmetry into consideration.

3. a) Write the formula for the cubic Bezier curve with control points P₀ (0, 1), P₁ (4, 8), P₂ (5, -1) and P₄ (7, 3).

b) Describe the Odd-Even rule and winding number rule with the help of an example. (

c) Implement the Boundary Fill Algorithm for an 8 -connected region.

d) Explain how will you generate a character using outline font method.

4. a) What will be the new coordinates of the quadrilateral with vertices (0, 2), (3, 2), (-1, 0) and (2, 0), when it is reflected about the y -axis, and then sheared in the x -direction by a factor of -2?

b) Find the normalisation transformation that maps a window with opposite corners at (2, 1) and (6, 8) to a viewport that is the entire normalized device screen.

c) Given the clipping window with corners at (0, 2) and (10, 8), trace the CohenSutherland line clipping algorithm for the triangle with vertices (4, -1), (8, 4) and (6, 10).

5. a) Find the uniform cubic B-spline curve generated by the control points (4, 2), (5, -2), (10, 5), (15, -1).

b) Do 3D translation and scaling commute with each other? Justify.

c) Suppose your camera is located at (8, 2, 0) and you are looking at (4, 1, 0). If the viewup vector is (1, 4, -1), then how will you transform the scene from the world coordinate system to viewing coordinate system?

6. a) Find the coordinates of all the corners of a cube whose two opposite corners have coordinates (1, 1, 1) and (5, 5, 5). What will be the image of this cube under an oblique parallel projection with α = φ = 45^o ? Justify.

b) Write a C program to draw a wireframe model of an octahedron

c) Explain the difference between the OpenGL functions glFrustum ( ) and gluPerspective ( ).

d) Using Liang-Barsky line clipping algorithm, clip the rectangle PQRS with coordinates P(2 3), Q(6, 3), R(6, 4), S(2, 4) against the clip window with opposite corners at (1, 0) and (4, 6).

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