Related, I think Freya Holmér's "The Beauty of Bézier Curves" is in the running for one of the best educational videos on YouTube.<p><a href="https://youtu.be/aVwxzDHniEw?si=K7QYf4luKhgv2mgd" rel="nofollow">https://youtu.be/aVwxzDHniEw?si=K7QYf4luKhgv2mgd</a>
"This site (obviously) works best with JS enabled
But it's not required.<p>If you're reading this text block, then you have scripts disabled: thankfully, that's perfectly fine, and this site is not going to punish you for making smart choices around privacy and security in your browser. All the content will show just fine, you can still read the text, navigate to sections, and see the graphics that are used to illustrate the concepts that individual sections talk about."<p>That is how I'd like to the rest of the internet to work as well.
I've had this bookmarked for a while. Fantastic resource. It's been on HN dozens of times since 2017.<p><a href="https://news.ycombinator.com/item?id=14191577">https://news.ycombinator.com/item?id=14191577</a>
I'm under the impression, maybe wrongly so, that every other week we saw a primer on some basic CG stuff: Bézier curves, Fourier transforms, Dithering, Tonemapping, ..etc, of themes being fetched from a pool of maybe 10 items that cycle every once in a while but get upvoted because CG stuffs are inherently cool (and they're often well written like this one).<p>I think I'm gonna make `primersprimer.graphics` to list them or something.
I think it's just that the internet is particularly well suited for explanations on the intersection between mathematics and graphics
Maybe your impression also has something to do with this being the 20th repost of the same link.
In its defense, this is also happens to be a really good link, and every time it gets posted, new people encounter it for the first time. (And I'm always happy to see it once more).
I haven't thought about Bézier Curves since my undergrad a <i>long</i> time ago. I distinctly remember wondering at the time why so many lecturers added extra hurdles (i.e. the need to understand the intricacies of Bézier Curves) in their assignments rather than letting students focus on the computer science/programming concepts they were meant to be learning.
Same here. Bézout also was another mysterious killer.<p>Concepts coming from french mathematicians were made more obscure just to raise the bar. The irony is, in french Universities.<p>I recall a student who had enough failing the computer based assessments. He kindly asked the lead lecturer to show us all that he, at least, could land a perfect score. He made the mistake to try, got 8 points out of 20.<p>He admitted it wasn't easy when not prepared, and moved on with the next mined field.
Because if you have the time and opportunity to study something in depth, then it should be taken imo.<p>If I just want to get a working product I only need the basic algorithm, but understanding "all" of it is never wrong
I used Bézier Curves to draw SVG curves for my weather dashboard EPD <a href="https://github.com/mt-empty/pi-inky-weather-epd" rel="nofollow">https://github.com/mt-empty/pi-inky-weather-epd</a>
A very simple explanation of Bézier curves is this:<p>- You have one polynomial describing the x-coordinate and one describing the y-coordinate, and both polynomials have the same degree (two for quadratic, three for cubic Bézier curves)<p>- The two polynomials share the same parameter t, which runs from 0 to 1.<p>That's all.
have been a graphic designer for the last 15 years, never know how complex a simple bezier curve is. solid resource.