View source for Bezier Talk

== Intro ==
* French automotive
* now everywhere - font, CAD
* Cubic curve
* intuitive
* start and end are explicit
* stays inside polygon
* many ways to define

== Vector Math Refresher ==
* Prefer parametric
* Vector vs Point

== As Blossom ==
* define blossom
* order doesn't matter
* curve is all args equal
* Not efficient - N<sup>2</sup>
* blossoms will come back

== As Sum ==
* Formula
* binomial refresher
* exponent delta
* can render to polynomial

== Blossom Subsection ==
* Can create arbitrary subsection

== Line Intersection ==
* Reason to prefer C4, can be done linearly as polynomial
* C5 is not guaranteed solvable as polynomial
* Can use subsections for divide and conquer

== Derivative ==
* Degree one less
* Difference of points
* Is a Bezier curve
* Smooth linking of curves

== Higher dimensions ==
* All formulas work in 3D - and higher
* Doesn't have to be spatial, great smoothing for speed, color

== Transformation ==
* 2D review
* 3D 4x4 camera transform: P/w
* Transformation of control points is the same as transformation of the curve