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Laboratory Project: Bezier Curves Part 1

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First published at 21:02 UTC on September 23rd, 2017.

Math Easy Solutions

MES

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In this video I go over the Laboratory Project: Bezier Curves and go over part 1 of the project. Recall that laboratory projects are very interesting math projects at the end of some of the books in my calculus book. In this project, I take a look at some very cool parametric curves, known as the Bezier Curves. They are named after the French mathematician Pierre Bezier, and the curves are used in many computer-aided design applications. In part 1 I look at the cubic Bezier curves and the pair of parametric equations that form them. I graph a specific example of the curves using the amazing Desmos calculator, and illustrate the 4 “control points” of the Bezier curve. The Bezier curve is visualized by a polygon with a curve inside that has its behavior affected by the arrangement of the control points surrounding it. This is a very cool curve, and as I will show in later parts, it has some very amazing real-world applications, so make sure to watch this video and stay tuned for more!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhuZZOJp3AM7bVUgWQw

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/laboratory-project-bezier-curves-part-1

Related Videos:

Parametric Curves: Example 12: Line Segments: https://youtu.be/seGjx-Lb0Zo
Parametric Calculus: Surface Area Part 1: https://youtu.be/4bMEIf6WD8M
Parametric Calculus: Arc Length Part 1: https://youtu.be/AWvJDK-m6wQ
Parametric Calculus: Areas: https://youtu.be/XdplYV61xlM
Parametric Calculus: Tangents: https://youtu.be/deQwD2o0Sas
Parametric Equations and Curves: https://youtu.be/Kd3XF4LZoFE .

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