In this video I go over a brief History lesson on Bezier Curves and show the people behind this amazing math concept as well as those that popularized it. Bezier curves are used widely in computer-aided design (CAD) in many industries, such as in design cars to even designing the fonts and letters that you view on your computer. In my earlier videos I went over a pretty cool “Laboratory Project” on Bezier curves and illustrated the properties of a cubic Bezier curve, so make sure to watch those videos. And usually whenever I go over videos on particular equations or math equations, I like going over the history of the brilliant mathematicians that pathed the way in developing these concepts, that quite frankly many people take for granted.
The Bezier curves were popularized by the French engineer Pierre Bezier in which he used while working for the car manufacturing company Renault through his increasing leadership role in the use of mathematics in computer-aided modeling. While Pierre Bezier popularized the curves, he did not in fact discover them. The actual founder was Paul de Casteljau, a French physicist and mathematician, but he did not formally publish his findings. Nonetheless he has been acknowledged even by Pierre Bezier for having missed out on the fame that he rightly deserved for his findings.
The Bezier curves remain still widely used in Computer-Aided Design as well as many other applications, so it is important to sit back and acknowledge the people that have brought this to the forefront. To illustrate an example of the Bezier curves, or Bezier surfaces for 3D shape, I also show a video of the Bezier Surfaces being used in the 3D modeling software, Sketchup. Three-Dimensional modeling, as well as many other applications are just the small sample of the usefulness of the Bezier curves, so make sure to watch this video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhudIKXoMdwI5yK6oxg
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/video-notes-bezier-curves-a-brief-history
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I don’t always go over a history of Bezier Curves but when I do I realize the curves should have been called Casteljau curves ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/video-notes-bezier-curves-a-brief-history