INTRODUCTION TO COMPUTER GRAPHICS

Line Drawing Using Bresenham’s Algorithm Q: Use Bresenham’s line drawing algorithm to draw a line between two points P1(2,3)P1(2, 3)P1(2,3) and P2(10,8)P2(10, 8)P2(10,8). Show all intermediate steps and the points that will be plotted.

VIEWING AND VISUAL REALISM

• Question: Explain the difference between a parallel projection and a perspective projection. Provide examples of situations where each type of projection would be useful. • Question: Given a 3D object with vertices at A(1,2,3),B(4,5,6),C(7,8,9)A(1, 2, 3), B(4, 5, 6), C(7, 8, 9)A(1,2,3),B(4,5,6),C(7,8,9), apply a perspective projection with the projection plane at z=0z = 0z=0 and the center of projection at (0,0,10)(0, 0, 10)(0,0,10). Show the resulting 2D coordinates of the projected points. • Question: What is the viewing pipeline in computer graphics? Describe each stage of the pipeline in detail, including transformations such as viewing, clipping, and projection.

MODELING AND TRANSFORMATIONS OF OBJECTS

1. A triangle has vertices at A(1,1)A(1, 1)A(1,1), B(3,1)B(3, 1)B(3,1), and C(2,4)C(2, 4)C(2,4). First, translate the triangle by the vector T(2,3)T(2, 3)T(2,3) and then scale it by a factor of 2 along both the x-axis and y-axis. What are the new coordinates of the vertices after the transformations? 2. A square has its vertices at P(1,1),Q(3,1),R(3,3),S(1,3)P(1, 1), Q(3, 1), R(3, 3), S(1, 3)P(1,1),Q(3,1),R(3,3),S(1,3). Rotate the square by 90° counterclockwise about the origin. What are the new coordinates of the vertices after rotation? 3. A point P(2,3)P(2, 3)P(2,3) is first scaled by a factor of 3 along the x-axis and 2 along the y-axis. After scaling, the point is rotated by 180° about the origin. Find the final coordinates of the point after both transformations.

Exploring the Psychological Effects of Color

In this assignment, students will research and analyze how different colors influence emotions, perceptions, and behaviors in visual design contexts. The focus will be on understanding color theory principles and their practical applications in fields such as graphic design, marketing, and user interface design.

The Art of Tweening: Creating a Smooth Animat

In this assignment, students will explore the concept of tweening in animation, focusing on how to create smooth transitions between keyframes using various tweening techniques. The goal is to develop a short animated sequence that demonstrates their understanding of tweening principles and their application in animation.