Suppose that a window has its lower-left corner at (-2, -1) and its upper-right corner at (3, 2) . For each of the following line segments, state whether it will be totally visible, totally hidden, or partially visible; and for the partially visible-segments give the coordinates at which it is clipped.
i) (-1, 0) to (1, 1)
ii)(-3, 1) to (4, 1)
iii) (-2, 3) to (1, 4)
iv) (2, 3) to (4, 1.5)
v) (0, 1.5) to (2.5, 0) .
Determine a rotation matrix for rotation by an arbitrary angle about a fixed point (r , r ) x y in homogeneous form. Use this matrix to rotate the square with vertices (0, 0), (1, 0), (1,1) and (0, 1) about the point (1, 1)
A Bezier curve of degree 4 has to be expressed as a Bezier curve of degree five. Find out the control points of the curve which make it a curve of degree 5 .
See Answer →Determine the blending functions for uniform, periodic B-spline curves for d = 5 and d = 6.
See Answer →Shear a unit square whose opposite vertices are at (0, 0)
and (2, 2) by
i) 2 units along x-axis and reference line
y =0 .
ii) 3 units along y-axis and reference line
x =0 .
iii) 2 units along x-axis and 3 units along y-axis w.r.t. principal axis.
iv) 2 units along x-axis and reference line
y =-1
v) 3 units along y-axis and reference line
x =-1
Show that the order in which transformations are performed is important by applying the transformations to the triangle A(1, 0), B(0, 1), C(1, 1) by i) rotating by 45 about the origin and then translating in the direction of the vector (1, 0) . ii) translating first and then rotating by 45 about the origin
See Answer →Prove that the reflection along the line y =x is equivalent to reflection along the x-axis followed by a counter clockwise rotation by 90 .
See Answer →A figure with vertices A(10, 0), B(0, 10), C(-10, 0) and D(0, -10) is scaled twice uniformly w.r.t. O(0, 0) by the scaling factors 3 and Find the transformed coordinates of the corners of the figure and sketch it.
Let W be the window with corners at (5, 5), (10, 5), (10, 8)
and (5, 8). Clip the triangle with vertices (4, 6), (12, 6) and
(6, 10) against W using
i) Cohen-Sutherland Algorithm
ii) Liang-Barsky Line Clipping Algorithm.
Find the equation of the Bezier curve that passes through (0, 0) and (4, 2) and controlled through (14, 10) and (4, 0).
See Answer →Show that rotation about an arbitrary pivot point (a, b) through an angle is equivalent to the rotation about the origin through followed by a translation through (a, b), where a= a(1-cos
) bsin
and b=b(1-cos
) - a sin
.
Develop and implement the Flood Fill Algorithm.
See Answer →Explain the difference between the odd-even rule and the nonzero winding number rule with the help of an example.
See Answer →Rasterise the circle with centre (2, 8) and radius 5, using the Midpoint Circle Drawing Algorithm.
See Answer →Compute pixel positions along the line path of the line joining the points A(5, 2) and B(8, 6) using the DDA Algorithm. Also display the actual line path and the scanconverted line path.
See Answer →Describe the working procedure of a refresh cathode ray tube monitor.
See Answer →List two advantages of laser printers over dot matrix printers
See Answer →What is the fraction of the total refresh time per frame spent in retrace of an electron beam for a non-interlaced raster system with a resolution of 1024 768, a refresh rate of 30Hz, a horizontal retrace time of 4 microseconds and a vertical retrace time of 450 microseconds?
What are alternative dispute resolution methods? Discuss the implementation of ADR methods in India?
See Answer →What do you understand by Environment, Social and Governance (ESG) requirements? Discuss the different frameworks being used by companies for making ESG disclosures
See Answer →