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Biju Patnaik University of Technology BPUT
**Course:
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B.Tech
**Specialization:
**Civil Engineering**Offline Downloads:
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Total Number of Pages: 02
B.Tech
PCCS4401
7th Semester Regular / Back Examination 2017-18
Computer Graphics
BRANCH: Civil
Time: 3 Hours
Max Marks: 70
Q.CODE: B224
Answer Question No.1 which is compulsory and any FIVE from the rest.
The figures in the right hand margin indicate marks.
Q1
Answer the following questions: Short answer type
What is a light pen? List some of its important applications.
Suppose a RGB raster system is to be designed using an 8 inch by 10 inch
screen with a resolution of 100 pixels per inch in each direction. If we want to
store 6 bits per pixel in the buffer, how much storage (in bytes) do we need for
the frame buffer?
What is fractal dimension? How is it calculated?
Consider the line from (5, 5) to (13, 9). Use the Bresenham’s algorithm to
rasterize the line.
Prove that 2-D rotation and scaling are commutative if scaling factors Sx = Sy
or
where n is any positive integer.
State the limitations of Cohen -Sutherland line clipping algorithm.
Write 3-D composite transformation matrix using homogenous coordinates to
scale a line AB with A(10, 15, 20) and B(45, 60, 30) by 3.5 in z-direction while
keeping point A fixed.
What is back face removal algorithm and why it is used?
Discuss the convex hull property of Bezier curves? How it is satisfied?
Find the transformation matrix for perspective projection by assuming view
plane normal to z-axis at z = d and center of projection at the origin.
(2 x 10)
a)
Explain the components of a cathode ray tube with a neat labelled diagram for
electrostatic deflection cathode ray tube.
(5)
b)
List the operating characteristics of the following I/O devices: Joystick
and Plotter.
(5)
a)
Find the pixel positions for the circle centered at (2, 0) with radius 15 using the
midpoint circle algorithm.
(5)
b)
Use DDA algorithm to draw a line from A(8, 2) to B(3, 7) while determine the
pixel positions along the line and plotting those graphically that would
approximate the desired line.
(5)
a)
Describe the steps needed to tilt a 2 x 2 square, located at position (4, 2) so
that its bottom edge is oriented parallel to (1, 2) vector. Provide the
transformation matrix and show how the matrix was derived.
(5)
b)
Reflect the diamond shaped polygon whose vertices are A(-1, 0), B(0, -2),
C(1, 0) and D(0, 2) about the horizontal line y = 2 and about the vertical line x
= 2.
(5)
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
Q2
Q3
Q4

Q5
Q6
Q7
a)
Discuss the step by step procedure of scan line region filling algorithm.
(5)
b)
What do you mean by parallel projection? Explain the different types of
parallel projection.
(5)
a)
What is window-to-viewport mapping? Given the coordinates of a window in
world coordinates and viewport in normalized device coordinates. Convert the
world coordinates of a given point in the window into its corresponding
normalized device coordinates in the viewport.
(5)
b)
Determine 3-D transformation matrix to scale a line AB in z-direction by 3.5 by
keeping point A fixed. Then rotate the line by 45° anticlockwise about x-axis.
Given A(10, 15, 20) and B(45, 60, 30).
(5)
a)
Explain the B-Spline curve and its Blending function along with their
mathematical expressions. State two advantages of a B-Spline curve over a
Bezier curve.
(5)
b)
Discuss the A-Buffer method for detecting visible surfaces and how is it
different from the Z-Buffer method?
(5)
Q8
a)
b)
c)
d)
Write short answer on any TWO:
Half toning
Fractal Classification
Diffused vs. Specular Reflection
Virtual Reality
(5 x 2)

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