General Information:

• The final exam will be cumulative, however, much more emphasis will be given to the material since the midterm.
• Review topics from midterm.
• Review the problems from the midterm (pdf).
• Review practice problems (pdf) from the midterm.
• Review practice problems (pdf) covering material since the midterm.
• Review all class notes and labs.

Splines and Animation

• What are the principles used to bring life to an animation?
• Path Animation: Parameterization along a curve (t value).
• How do you use the t value to create an animation. How do you change the t values to speed up or slow down an animation?
• Linear (straight line), Cubic and higher (curved).
• What is a linear or quadratic Bezier curve? Also see Bezier spline curves.

Image Filtering

• How do the following filters work?: brightening, threshold, posterize, invert, impressionist, grayscale
• What is convolution? How does it work and what kind of effects can be achieved (e.g. blurring, edge detection, sharpening).

Recursion

• What is recursion?
• How do you use Turtle graphics to recursively generate a complex curve?
• How do you generate a 1D or 2D Cellular Automaton?

Fractals

• Complex and Imaginary Numbers: Wikipedia, Dave's short course. How do you add, subtract, and multiply complext numbers? What is the magnitude (or length) of a complex number? What is the complex plane?
• Fractals: What is the Mandebrot set? What is the Julia set? How are they generated?
• What is self-similarity?
• Dimension: What structures are: 1-D, 2-D, 3-D, fractional-D