Quaternions to Homogeneous Points, Lines, and Planes
245Points, Lines, and Planes are the basic geometric objects that games are programmed with. In "A Visual Guide to Quaternions and Dual Quaternions", Hamish Todd showed how to get rotations from lines. This talk is a sequel to Math in Game Development Summit: A Visual Guide to Quaternions and Dual Quaternions.
Watch the first video here: https://www.youtube.com/watch?v=en2QcehKJd8
See how to intersect planes and lines to get lines and points; how to get transforms taking us from planes to points and lines; how to measure the distance between any plane, line, or point and any plane, line or point; how to do the same with angles; how to project these objects onto each other; and more.
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