# B2.53-R3: COMPUTER GRAPHICS. NOTE: 1. There are TWO PARTS in this Module/Paper. PART ONE contains FOUR questions and PART TWO contains FIVE questions.

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2 1.6 The transformation wherein the object is first rotated about x-axis and then about y-axis is A) instant B) rotation C) shearing D) tilting 1.7 The perspective transformation between object and image can be A) a linear 3 x 3 transformation B) a linear 4 x 4 transformation C) a nonlinear 3 x 3 transformation D) a nonlinear 4 x 4 transformation 1.8 A touch screen is recommended for A) pressure-sensitive drawing and painting B) projects that track users C) program involving public input and simple tasks D) day-to-day computer work 1.9 The second derivative of the Bezier curve at the initial and final points depend on A) the nearest two polygon vertices B) the nearest three polygon vertices C) the nearest four polygon vertices D) none of the above 1.10 The process of creating computer animation by specifying a number of model poses and allowing the computer to interpolate these poses to produce smooth movement is called A) stop motion animation B) key framing C) rotoscoping D) rendering B2.53-R3 Page 2 of 5 January, 2007

3 2. Each statement below is either TRUE or FALSE. Choose the most appropriate one and ENTER in the tear-off sheet attached to the question paper, following instructions therein. (1 x 10) 2.1 The viewing transformations for orthographic projection include a shear matrix. 2.2 The data point in a bitmap field map is the pixel to the image. 2.3 The two point perspective transformation does not provide an adequate perception of the three-dimensional shape of the object. 2.4 For a B-spline curve of degree 3, a point on the curve lies within the convex hull of two neighboring points 2.5 The Mid Point subdivision algorithm is applicable even if the clipping window is not a regular rectangular polygon. 2.6 If refreshing rate remains constant then phosphor material with high persistence causes flickering. 2.7 If we change the viewport, we see the same part of the object drawn at different places on the display. 2.8 The vector objects are easily scalable without loss of resolution or image quality. 2.9 JPEG files can be saved numerous times with no loss in image quality Objects do not appear to be distorted when viewed through oblique projection. 3. Match words and phrases in column X with the closest related meaning/ word(s)/phrase(s) in column Y. Enter your selection in the tear-off answer sheet attached to the question paper, following instructions therein. (1 x 10) X 3.1 Technique used to create the illusion of one object changing shape to another Y A. Spline curve 3.2 System used for representing colours on computer B. Parametric curve 3.3 Abbreviation for dots per inch, which indicates the resolution of images 3.4 Continuous curve that starts with one control point and end with another end at other control point 3.5 An artificial environment created with computer hardware and software C. RGB D. Morphing E. GIF 3.6 Technique to remove jagged lines F. Antialising 3.7 Is the process of removing lines or portions of lines outside of an area of interest G. CMY 3.8 Changing the frames with respect to time H. Tweening 3.9 A special spline curve I. Virtual Reality 3.10 A commonly used standard method of compressing photographic images J. DPI K. Animation L. Line Clipping M. B-Spline N. JPEG B2.53-R3 Page 3 of 5 January, 2007

4 4. Each statement below has a blank space to fit one of the word(s) or phrase(s) in the list below. Enter your choice in the tear-off answer sheet attached to the question paper, following instructions therein. (1 x 10) A. Parallel B. Perspective C. Stroke method D. Translation E. Boundary fill F. Morphing G. Rotation H. Dataglove I. More J. MPEG K. Scaling L. Image processing M. Scan-line method N. Flood fill O. JPEG P. Scan Conversion Q. Less R. Raster Scan 4.1 creates characters out of a series of line segments. 4.2 In projection image points are found as the intersection of view plane with a projector drawn from the object and having fixed directions. 4.3 is a device to interact with animated artificial objects. 4.4 is the process of converting the rasterized picture stored in a frame buffer to the rigid display pattern of video. 4.5 Dragging in computer graphics can be achieved through. 4.6 MIDI files occupy space than.wav files. 4.7 The algorithm is useful when the region is to be filled has no uniformly colored boundary. 4.8 is used to photo realistic images containing many colours. 4.9 A technique for creating a smooth transition between two images is called Zooming operation on the screen can be carried using the transformations. B2.53-R3 Page 4 of 5 January, 2007

5 PART TWO (Answer any FOUR questions) 5. a) Describe the Bresenham s algorithm to draw a circle whose centre is origin and radius is 7. b) Explain briefly the following file formats: i) JPEG ii) MPEG (7+8) 6. a) What is the need of backface removal technique? How does Floating Horizon algorithm determine which surface is hidden? b) i) If one Bezier curve P(t) of degree n is defined by vertices B i and an adjacent Bezier curve Q(s) of degree m by vertices C i, state the first and second derivative continuity conditions at the joint between the curves. ii) For a Bezier curve, P(u), of degree 5, suppose the control points are B 1 (0, 0), B 2 (2, 2),, B 5 (5, -1) and B 6 (7, 0). Find the remaining control points of the curve which has its second derivative at u=0 and u=1 equal to zero. (9+6) 7. a) Consider the following figure and find transformation matrix to reflect the triangle ABC with respect to the line PQ. {A=(1, 1), B=(4, 1), C=(3, 3) and the line PQ intercept y-axis at (0, 2)}. Y Q C(3, P (0,2) A(1,1) B(4,1 O x b) Why is Mid-point sub-division algorithm preferred over Cohen-Sutherland algorithm for the clipping? Write Mid-point sub-division algorithm for line clipping. (7+8) 8. a) Consider a window having vertices A(1, 1), B(5, 3), C(4, 5) and D(0, 2). Find the normalization matrix N that maps this window onto normalized device co-ordinate system (NDCS) whose co-ordinates are (0, 0) and (1, 1), respectively. b) What is Hypermedia? c) What are the advantages and disadvantages of MIDI over digital audio? (6+4+5) 9. a) Explain the mechanism and working principle of a mouse. b) Describe the shadow mask technique for the origin of colors in a CRT. What are its limitations? c) How does a Rubber band technique help in graphics? (6+6+3) B2.53-R3 Page 5 of 5 January, 2007

6 B2.53-R3 Page 6 of 5 January, 2007

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