Differentiate between Euclidean Coordinate System and Homogeneous Coordinate system. Discuss the advantage of Homogeneous Coordinate system over Euclidean Coordinate System. Assume that a polygon ABCDE has the coordinates A(0, 0), B(10,10), C(10,2),D(5,5),E(7,6) is subjected to the clockwise rotation of 45° about an axis passing through the centroid of the polygon, find the final coordinates of the polygon ABCDE. You should represent the transformation using Homogeneous Coordinate System.

a) Key frame animation and Cel animation
b) Analog and Digital Sound
c) Hypermedia and hypertext
d) Painting tools and drawing tools
e) Random Scan Display Devices and Raster Scan Display Devices
f) Computer Graphics and Animation
g) Compression and decompression in digital video
h) Ray tracing and Ray casting

Write the DDA algorithm and Bresenham Line generation Algorithm. Compare the line generation mechanism of DDA algorithm with Bresenham Line generation Algorithm while drawing a line segment from (1, 0) and (9, 8). Show step by step execution of both Line Generation algorithm, though a Graph.

Animation and its types

What are Geometric continuities ? How do Geometric continuities differ from Parametric continuities ? Discuss each type of Geometric continuity and Parametric continuity with suitable diagram.

Bezier Curves. Write the properties of the Bezier curves, prove all properties. Discuss the Parametric Continuities and Geometric Continuities of Bezier Curves, with suitable expressions, equations and examples. Explain the purpose of control points in Bezier, a Cubic Bezier curve has control points P0 (0, 0); P1 (5, 40); P2 (40, 5); P3 (50, 15). Determine 2 more points on the same Bezier curve. Draw a rough sketch of the curve and show coordinates of various points on it?

Simulating Accelerations in Computer Animations

Computer Graphics and Animation