Computer Graphics End Semester Question Paper
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The document is an end semester exam for a computer graphics course. It contains 4 questions assessing various topics in computer graphics: 1. Properties of Bezier and B-spline curves, use of lookup tables in color representation, types of affine transformations and window-viewport transformation, types of B-spline curves and boundary conditions. 2. Applying the z-buffer algorithm to hidden surface removal on two triangles. 3. Calculating points on a Bezier curve defined by 4 control points and drawing the curve. 4. Calculating lighting intensities at various points on a box model under flat and Gouraud shading models, with a point light source and ambient light.
![NATIONAL INSTITUTE OF TECHNOLOGY JAMSHEDPUR
AUTUMN SEMESTER 2016-17
Department of Computer Science and Engineering
End Semester
Course Code: CS504 Course Title: Computer Graphics (5th
Sem)
Date: 06/12/2016 Course Instructor: Ansuman Mahapatra
Duration: 3 Hours Maximum Marks: 40
All Questions are compulsory. Assume if any data missing.
1. Explain with examples. [3×5]
a. Discuss the properties of Bezier and B-spline and explain the difference between them.
b. What is the use of Lookup Table in RGB color representation? If a lookup table contains 256 colors
and we have to display an image of size 1024 × 1024. What is the storage space of frame buffer.
c. What are the types of affine transformations? How window to viewport transformation is achieved?
d. Explain different types of B-Spline curves. What are the boundary conditions for cubic periodic B-
spline.
e. Draw the block diagram of a graphics system and explain the functionality of each blocks.
2. The scene contains two triangles having vertices {(0,7,5), (6,7,5), (0,1,5)} and {(0,6,7), (0,1,2), (5,1,7)}.
Apply Z-buffer method to find the values inside the depth buffer of size 10 × 10. [5]
3. Calculate (x,y) coordinates of Bezier curve described by the following 4 control points: (0,0), (1,2), (3,3),
(4,0). Given Δu = 0.2. Draw the final curve joining all the coordinate with straight lines. [5]
4. Assume you have modelled a solid rectangular box in the scene with vertices {(1,0,4), (4,0,4), (4,5,4), (1,5,4),
(1,0,1), (4,0,1), (4,5,1), (1,5,1)} has ka=0.5, kd=0.25, ks=0.25, and ns=10. Let a monochromatic point light
source is at point (1,1,3) with intensity 2 units and ambient light with intensity 1 unit. Viewer is at the position
(3,2,3). [5+5+5]
a. What will be the intensity at the point (4,0,2), given unit normal as (0,0,1)?
b. Considering flat shading, what will be the intensities at the points (3,2,2), (4,2,3) and (2,2,1)? What
will be the intensities at those points if the viewer changes its position to (3,2,0)?
c. Considering Gouraud shading, what will be the intensities at the points {(1,0,4), (4,0,4), (3,0,4), and
(3,1,4). Viewer is at position (3,2,3)?
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Computer Graphics End Semester Question Paper
- 1. NATIONAL INSTITUTE OF TECHNOLOGY JAMSHEDPUR AUTUMN SEMESTER 2016-17 Department of Computer Science and Engineering End Semester Course Code: CS504 Course Title: Computer Graphics (5th Sem) Date: 06/12/2016 Course Instructor: Ansuman Mahapatra Duration: 3 Hours Maximum Marks: 40 All Questions are compulsory. Assume if any data missing. 1. Explain with examples. [3×5] a. Discuss the properties of Bezier and B-spline and explain the difference between them. b. What is the use of Lookup Table in RGB color representation? If a lookup table contains 256 colors and we have to display an image of size 1024 × 1024. What is the storage space of frame buffer. c. What are the types of affine transformations? How window to viewport transformation is achieved? d. Explain different types of B-Spline curves. What are the boundary conditions for cubic periodic B- spline. e. Draw the block diagram of a graphics system and explain the functionality of each blocks. 2. The scene contains two triangles having vertices {(0,7,5), (6,7,5), (0,1,5)} and {(0,6,7), (0,1,2), (5,1,7)}. Apply Z-buffer method to find the values inside the depth buffer of size 10 × 10. [5] 3. Calculate (x,y) coordinates of Bezier curve described by the following 4 control points: (0,0), (1,2), (3,3), (4,0). Given Δu = 0.2. Draw the final curve joining all the coordinate with straight lines. [5] 4. Assume you have modelled a solid rectangular box in the scene with vertices {(1,0,4), (4,0,4), (4,5,4), (1,5,4), (1,0,1), (4,0,1), (4,5,1), (1,5,1)} has ka=0.5, kd=0.25, ks=0.25, and ns=10. Let a monochromatic point light source is at point (1,1,3) with intensity 2 units and ambient light with intensity 1 unit. Viewer is at the position (3,2,3). [5+5+5] a. What will be the intensity at the point (4,0,2), given unit normal as (0,0,1)? b. Considering flat shading, what will be the intensities at the points (3,2,2), (4,2,3) and (2,2,1)? What will be the intensities at those points if the viewer changes its position to (3,2,0)? c. Considering Gouraud shading, what will be the intensities at the points {(1,0,4), (4,0,4), (3,0,4), and (3,1,4). Viewer is at position (3,2,3)? ---------------------------------