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Unit 7: Splines and Curves
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Unit 7: Splines and Curves

 
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LJ
 
 

Resources

The Beauty of Bézier Curves
Bézier curves - how do they do? They're used for animation, text rendering, and all sorts of curved shapes! But how do they actually work? well, like, that's what the video is about, so, watch it to find out etc!!
The Beauty of Bézier Curves
https://www.youtube.com/watch?v=aVwxzDHniEw
The Beauty of Bézier Curves
A Primer on Bézier Curves
Let's start with the good stuff: when we're talking about Bézier curves, we're talking about the things that you can see in the following graphics. They run from some start point to some end point, with their curvature influenced by one or more "intermediate" control points.
A Primer on Bézier Curves
https://pomax.github.io/bezierinfo/
A Primer on Bézier Curves
Animated Bézier Curves
Play with the control points to modify the curves! These animations illustrate how a parametric Bézier curve is constructed. The parameter t ranges from 0 to 1. In the simplest case, a first-order Bézier curve, the curve is a straight line between the control points.
Animated Bézier Curves
https://www.jasondavies.com/animated-bezier/
Animated Bézier Curves
Curves we (mostly) don't learn in high school (and applications)
Get free access to over 2500 documentaries on CuriosityStream: http://go.thoughtleaders.io/1622820200203 (use promo code "zachstar" at sign up) STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT ►Follow me Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Curves for the mathematically curious: https://amzn.to/2vBTzwC Bezier Curves Animations: https://www.jasondavies.com/animated-bezier/ Animations: Brainup Studios ( http://brainup.in/ ) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/35bKiri Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the my Amazon Store: https://www.amazon.com/shop/zachstar
Curves we (mostly) don't learn in high school (and applications)
https://www.youtube.com/watch?v=3izFMB91K_Q
Curves we (mostly) don't learn in high school (and applications)
www.acegikmo.com
https://www.acegikmo.com/mathvis/index.html
An Interactive Introduction to Splines
Bezier spline curves DeCasteljau algorithm. Linear, quadratic and cubic Bezier splines. Bezier spline subdivision. Bernstein polynomials. Recurrence relations. How to plot Bezier spline and basis functions. Proof of the deCasteljau algorithm.
An Interactive Introduction to Splines
https://www.ibiblio.org/e-notes/Splines/Intro.htm
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