Homework 5: Curves
Due: Sunday, Oct. 25, 11:59pm on Moodle
The goal of this homework become familiar with two important methods of defining curves in computer graphics: Bézier curves and cubic splines. We will be using Adobe Illustrator for Bézier curves since it is widely used and helps gain an understanding of how the control points can be manipulated to create the desired effect.
Part I: Your name in Bézier curves (8 pts)
This part uses Adobe Illustrator. I would recommend using the lab machines since it shouldn't take too much time once you get the hang of it. If you'd prefer to use your own computer, you can download a 30-day free trial here:
It's not required, but I would recommend first doing the pen tool tutorial:
There are also several YouTube tutorials for the pen tool, one example is here:
Okay, now you are ready to use the pen tool in Adobe Illustrator to write your name in Bézier curves. You can write your first name, last name, middle name, initials, etc, as long as it is at least three letters long and uses some Bézier curves (not just lines!)
Save your work and submit on Moodle.
Part II: Cubic splines (7 pts)
For this part, we will define the equations for a cubic spline with 3 control points and compare that to a Bézier curve with 3 control points.
For this assignment, you are welcome to work together, but everyone should turn in their own letters/math that they have written and understood. Please cite anyone you worked with at the top of your assignment.