\( \newcommand{\vecIII}[3]{\left[\begin{array}{c} #1\\#2\\#3 \end{array}\right]} \newcommand{\vecIV}[4]{\left[\begin{array}{c} #1\\#2\\#3\\#4 \end{array}\right]} \newcommand{\Choose}[2]{ { { #1 }\choose{ #2 } } } \newcommand{\vecII}[2]{\left[\begin{array}{c} #1\\#2 \end{array}\right]} \newcommand{\vecIII}[3]{\left[\begin{array}{c} #1\\#2\\#3 \end{array}\right]} \newcommand{\vecIV}[4]{\left[\begin{array}{c} #1\\#2\\#3\\#4 \end{array}\right]} \newcommand{\matIIxII}[4]{\left[ \begin{array}{cc} #1 & #2 \\ #3 & #4 \end{array}\right]} \newcommand{\matIIIxIII}[9]{\left[ \begin{array}{ccc} #1 & #2 & #3 \\ #4 & #5 & #6 \\ #7 & #8 & #9 \end{array}\right]} \)

Quiz

  1. Can we go over parametric lines and equations in depth?

    Sure! I'm happy to go over it as often you'd like

  2. How are we applying these calculations to computer graphics?

    Several ways:

    • We will understand how the model works. For example, when we get to curves and surfaces, we will understand the mathematical behavior of the curve/surface.
    • We can ask Threejs to calculate a particular point on a curve/surface, given its parameters, so we have to understand what they mean.

    Will we ever need to calculate these by hand? No. That's what we have GPUs for.