Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 5th Sem New 2151603 Computer Graphics Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? V (New) EXAMINATION ? WINTER 2019
Subject Code: 2151603 Date: 04/12/2019
Subject Name: Computer Graphics
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Consider a raster system with resolution of 1280 by 1024. What size
of frame buffer is needed for given system to store 24bits per pixel?
How many colors are possible in given system? What is the access
time per pixel if refreshing rate is 60 frames per second?
03
(b) Differentiate: Raster scan vs. Random scan display systems 04
(c) Write short note on Color CRT Monitors 07
Q.2 (a) Discuss the incremental approach for line drawing. 03
(b) Draw a line from point (2, 2) to (10, 7) using DDA line drawing
algorithm.
04
(c) State and derive all necessary formulas for decision parameters for
mid-point circle drawing algorithm
07
OR
(c) Explain inside outside test with suitable diagram. 07
Q.3 (a) Derive transformation matrix for scaling with respect to origin 03
(b) Rotate a point A(3, 2) by 90
0
in anticlockwise direction with respect
to some reference point B(1, 2).
04
(c) Prove following statement:
(i). Successive rotations are additive
(ii). Successive scaling are multiplicative
07
OR
Q.3 (a) Derive formula for window to viewport mapping. 03
(b) Discuss pointer to vertex list representation of polygon. State its
advantages and limitations
04
(c) Clip the line using Liang Barsky algorithm against window with
Bottom-Left and Top-Right corners at (0, 0) and (100, 50)
respectively. Line end points are A(10, 10) and B(110, 40).
07
Q.4 (a) State necessary conditions with explanation for geometric and
parametric continuity.
03
(b) State the difference between (i). Hermite and Bezier curve and (ii).
Bezier and B-spline curve
04
(c) Discuss the subdivision method to draw a bezier curve. Derive
necessary matrices.
07
OR
Q.4 (a) Explain the cavalier projection with necessary conditions. 03
(b) Write a short note on 3D shearing. 04
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? V (New) EXAMINATION ? WINTER 2019
Subject Code: 2151603 Date: 04/12/2019
Subject Name: Computer Graphics
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Consider a raster system with resolution of 1280 by 1024. What size
of frame buffer is needed for given system to store 24bits per pixel?
How many colors are possible in given system? What is the access
time per pixel if refreshing rate is 60 frames per second?
03
(b) Differentiate: Raster scan vs. Random scan display systems 04
(c) Write short note on Color CRT Monitors 07
Q.2 (a) Discuss the incremental approach for line drawing. 03
(b) Draw a line from point (2, 2) to (10, 7) using DDA line drawing
algorithm.
04
(c) State and derive all necessary formulas for decision parameters for
mid-point circle drawing algorithm
07
OR
(c) Explain inside outside test with suitable diagram. 07
Q.3 (a) Derive transformation matrix for scaling with respect to origin 03
(b) Rotate a point A(3, 2) by 90
0
in anticlockwise direction with respect
to some reference point B(1, 2).
04
(c) Prove following statement:
(i). Successive rotations are additive
(ii). Successive scaling are multiplicative
07
OR
Q.3 (a) Derive formula for window to viewport mapping. 03
(b) Discuss pointer to vertex list representation of polygon. State its
advantages and limitations
04
(c) Clip the line using Liang Barsky algorithm against window with
Bottom-Left and Top-Right corners at (0, 0) and (100, 50)
respectively. Line end points are A(10, 10) and B(110, 40).
07
Q.4 (a) State necessary conditions with explanation for geometric and
parametric continuity.
03
(b) State the difference between (i). Hermite and Bezier curve and (ii).
Bezier and B-spline curve
04
(c) Discuss the subdivision method to draw a bezier curve. Derive
necessary matrices.
07
OR
Q.4 (a) Explain the cavalier projection with necessary conditions. 03
(b) Write a short note on 3D shearing. 04
2
(c) Derive 3D rotation matrix for rotation about arbitrary line. 07
Q.5 (a) Derive a perspective projection of point P (x, y, z) on a view plane
positioned at z = 0 and center of projection is on negative z-axis at
distance d.
03
(b) Differentiate: Parallel projection vs. Perspective projection 04
(c) Write a short note on Z-Buffer algorithm. 07
OR
Q.5 (a) Explain: Diffuse reflection and specular reflection 03
(b) Explain importance of coherence property in visible surface
detection.
04
(c) Write a short note on following color models:
(i). CMY Color Model
(ii). YIQ Color Model
07
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This post was last modified on 20 February 2020