First we'll use the slope intercept form of a line to define each frame along a straight line.
First we'll review weighted averages of two points and extend the idea to three points. Practice weighted averages of two points in Environment Modeling if you haven't seen it before.
How can we calculate a weighted average between two points? (pssst. This video is super important).
Next lets build a diagram that break rotation into smaller parts. The next exercise will give us a chance to build our understanding of this diagram.
Let's look more closely at how light behaves when it strikes an object. We'll cover diffuse and specular surface responses.
First we'll review De Casteljau's algorithm using three points. Then it's your turn to figure out how to do it with 4 points!
Next let's extend the averaging step from the previous lesson to include multiple points. Now we'll need to calculate positions using a weighted average.
Now we are ready to calculate an intersection point using our ray CP (parametric form) and our line AB (slope-intercept form).
Now that we have a feeling for constructing permutations let's introduce the factorial formula to make counting them easy.
In this video we'll uncover the connection between the previous diagram and the rotation formulas. Repeat viewing suggested!
Let's take a closer look at the weights used during subdivision. Do we have to be careful when selecting weights?
Use an array to store many objects as well as create any shape you can imagine. Click here to review objects.