Now we'll add a lens to our camera and explore the idea of an f-stop.

In this video we develop a formula which tells us how big the circles of confusion are when an object is out of focus.

Find out how hair simulation tools were used in the film the Good Dinosaur.

Time to get a little mathy. Let's look at the general form for any transformation.

Finally we'll need to rotate object to finish our scene.

Next we need to throw away the slope-intercept form and use the line equation instead. Click here to see why dividing by zero is bad. Click here to try the interactive program shown in the video.

Now we just need to determine whether our intersection point is inside or outside the triangle. Click here to review weighted averages of three points.

Case study from Monsters University.

Try out your deformers on a face.

Now we'll pull everything together and explore how we calculate the position of a particle over time (frame by frame).

Finally, let's bring our parabolic arc to life!

One way we can prove that we are calculating the actual touching point.

Okay we know how to calculate the touching point, great! Next let's think about how we can prove this is true.

Now let's think about how subdivision would work in 3D.