Discuss the Taxonomy of Projection in computer graphics, with suitable diagram. Compare and contrast Parallel & Perspective projection, in detail (i.e. with suitable examples, equations, expressions etc.). What is isometric projection? What do you understand by the term vanishing point in context of projections, in computer graphics. Obtain a Projection matrix for perspective projection of a point P(x,y,z) onto z= 5 plane, provided the center of projection is at (0,0,-10), can we find the vanishing point(s) for this projection? Justify.

Write and discuss Z-Buffer algorithm with suitable example. What are the maximum number of objects that can be handled by the Z-buffer algorithm? What will happen if Z-buffer algorithm is used and it is found that two polygons have same Z-value?

Discuss the Taxonomy of Projection in computer graphics, with suitable diagram. Compare and contrast Parallel & Perspective projection, in detail (i.e. with suitable examples, equations, expressions etc.). What is isometric projection? What do you understand by the term vanishing point in context of projections, in computer graphics. Obtain a Projection matrix for perspective projection of a point P(x,y,z) onto z= 5 plane, provided the center of projection is at (0,0,-10), can we find the vanishing point(s) for this projection? Justify.

Painting tools and drawing tools

Write the Pseudocode for Bresenham's circle generation algorithm. Use this algorithm to produce a circle of radius (r) equal to four units, in the first quadrant from x = 0 to x = y.

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.

Write the Pseudocode for Bresenham's circle generation algorithm. Use this algorithm to produce a circle of radius (r) equal to four units, in the first quadrant from  to 

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?