GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- V (New) EXAMINATION - WINTER 2019
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Subject Code: 2151603 Date: 04/12/2019Subject Name: Computer Graphics
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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MARKS
Q.1 (a) Consider a raster system with resolution of 1280 by 1024. What size 03 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?
(b) Differentiate: Raster scan vs. Random scan display systems 04
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(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 04 algorithm.
(c) State and derive all necessary formulas for decision parameters for 07 mid-point circle drawing algorithm
OR
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(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° in anticlockwise direction with respect 04 to some reference point B(1, 2).
(c) Prove following statement: 07
(i). Successive rotations are additive
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(ii). Successive scaling are multiplicative
OR
Q.3 (a) Derive formula for window to viewport mapping. 03
(b) Discuss pointer-to vertex list representation of polygon. State its 04 advantages and limitations
(c) Clip the line using Liang Barsky algorithm against window with 07 Bottom-Left and Top-Right corners at (0, 0) and (100, 50) respectively. Line end points are A(10, 10) and B(110, 40).
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Q.4 (a) State necessary conditions with explanation for geometric and 03 parametric continuity.
(b) State the difference between (i). Hermite and Bezier curve and (ii). 04 Bezier and B-spline curve
(c) Discuss the subdivision method to draw a bezier curve. Derive 07 necessary matrices.
OR
Q.4 (a) Explain the cavalier projection with necessary conditions. 03
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(b) Write a short note on 3D shearing. 04
Q.5 (a) Derive a perspective projection of point P (X, y, z) on a view plane 03 positioned at z = 0 and center of projection is on negative z-axis at distance d.
(b) Differentiate: Parallel projection vs. Perspective projection 04
(c) Write a short note on Z-Buffer algorithm. 07
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OR
Q.5 (a) Explain: Diffuse reflection and specular reflection 03
(b) Explain importance of coherence property in visible surface 04 detection.
(c) Write a short note on following color models: 07
(1). CMY Color Model
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(11). YIQ Color Model
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