Short Questions
Magnify the triangle with vertices A (0, 0), B (1, 1) and C (5, 2) to twice its size while keeping C (5, 2) fixed. Consider the square A (1, 0), B (0, 0), C (0, 1), D (1, 1). Rotate the square ABCD by 45 degree clockwise about A (1, 0). Find the transformation matrix that transforms the square ABCD whose center is at (2, 2) is reduced to half of its size, with center still remaining at (2, 2). The coordinate of square ABCD are A (0, 0), B (0, 4), C (4, 4) and D (4, 0). Find the co-ordinate of new square. Perform a 45o rotation of a triangle A(0,0, B(1,1), C(5,2) a. About the origin. b. About the point p(-1,-1) Translate the square ABCD whose co-ordinate are A(0,0), b(3,0), C(3,3), D(0,3) by 2 units in both direction and then scale it by 1.5 units in x direction and 0.5 units in y direction. A triangle is defined by Find the transformed coordinates after the following transformation a. 90o rotation about origin. b. Reflection about line y = -x. Derive the homogenous matrices to represent the following transformation The process of drawing circle using Brute force method can be enhanced by taking greater advantage of the symmetry in a circle. Write the complete algorithm used to apply this enhancement. Implement the DDA algorithm to draw a line from (0,0) to (6,6). M=(6-0)/(6-0)=6/6 =1 XK+1=Xk+1 YK+1=Yk+m = Yk+1 Xk=0 Yk=0 Digitize a line with end points (20, 10) and (30, 18) using DDA line drawing Algorithm. Using the DDA algorithm digitize a line with end points (10,15) and (15,30). Write the algorithm of the line drawing algorithm using Digital Differential Analyzer (DDA).
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