Tweening and Blue Screening
We discussed some of the techniques that are useful for Homework 4.
Animations
This is just a form of twening in which each frame is calculated using some parametric equation to calculate what has changed in each frame.
Normal to a plane
We discussed the uses of the normal to a plane (eg, calculating the intersection of a line with a plane) and reiterated there are two ways to calculate it - the average (actually the sum) of the normals at each vertex and the Newell method, the 3D extension of the method which was introduced in Class 6:
In general, this quantity will normalized -- the normalized normal vector is commonly used.
Plane-line intersections
We showed how the dot-normal method we used for calculating the intersection of two lines in 2D is equivalent to the intersection of a line and plane in 3D and the intersection of a line and a 3D volume in 4D
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