Bézier curves (Coding Challenge 163)
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- Опубліковано 11 тра 2024
- Have you ever wanted to know more about bézier curves in p5.js? Thanks to a generous donation from Jason Oswald, I do a deep dive exploring the bézier curve function and the math behind the algorithm? Code: thecodingtrain.com/challenges...
p5.js Web Editor Sketches:
🕹️ Basic Example: editor.p5js.org/codingtrain/s...
🕹️ Editor by Simon Tiger: editor.p5js.org/codingtrain/s...
🕹️ bezierVertex Demo: editor.p5js.org/codingtrain/s...
🕹️ Time Table Cardioid with Bézier: editor.p5js.org/codingtrain/s...
🕹️ Quadratic Bézier Curve: editor.p5js.org/codingtrain/s...
🕹️ Cubic Bézier Curve: editor.p5js.org/codingtrain/s...
🕹️ Bézier Curve with Formula: editor.p5js.org/codingtrain/s...
🎥 Previous video: • Coding Challenge 162: ...
🎥 Next video: • Coding Challenge 164: ...
🎥 All videos: • Coding Challenges
Links discussed:
💰 #SupportP5 2020: discourse.processing.org/t/su...
💾 Jason Oswald (GitHub): github.com/gajoswald
💾 Processing Foundation: processingfoundation.org/
💾 bezier() - p5.js Reference: p5js.org/reference/#/p5/bezier
🗄 Bézier curve (Wikipedia): en.wikipedia.org/wiki/B%C3%A9...
💢 Custom Shapes: www.programmingdesignsystems....
💾 lerp() - p5.js Reference: p5js.org/reference/#/p5/lerp
Videos discussed:
🎥 Self Avoiding Walk - Coding Challenge 162: • Coding Challenge 162: ...
Related Coding Challenges:
🚂 81 Circle Morphing: • Coding Challenge #81.1...
🚂 133 Times Tables Cardioid Visualization: • Coding Challenge #133:...
Timestamps:
0:00 Welcome! Thanks Jason!
1:03 Explain! What is the bezier() function?
2:02 Explain! The difference between linear, quadratic, and cubic bezier curves?
2:34 Explain! What is a control point?
3:42 Code! Let's try the bezier() function!
5:02 Code! Now we can explore bezierVertex()!
7:13 But wait! How can we go farther?
7:39 Explain! How is lerp() related to bezier()?
9:09 Code! How can we draw a straight line with vertex()?
10:59 Explain! Lerpception!!
13:21 Code! Quadratic bezier!
14:47 Code! What if we connect the points from the two lerps?
16:02 Code! Cubic bezier.
19:21 Code! Let's bring back the rainbow!
20:17 Code! Moving points based on bouncing ball.
21:40 Wrap up. What will you create?
Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound
🚂 Website: thecodingtrain.com/
👾 Share Your Creation! thecodingtrain.com/guides/pas...
🚩 Suggest Topics: github.com/CodingTrain/Sugges...
💡 GitHub: github.com/CodingTrain
💬 Discord: / discord
💖 Membership: ua-cam.com/users/thecodingtrainjoin
🛒 Store: standard.tv/codingtrain
🖋️ Twitter: / thecodingtrain
📸 Instagram: / the.coding.train
🎥 Coding Challenges: • Coding Challenges
🎥 Intro to Programming: • Start learning here!
🔗 p5.js: p5js.org
🔗 p5.js Web Editor: editor.p5js.org/
🔗 Processing: processing.org
📄 Code of Conduct: github.com/CodingTrain/Code-o...
This description was auto-generated. If you see a problem, please open an issue: github.com/CodingTrain/thecod...
#beginners #beziercurves #lerp #javascript #p5js
This guy has such a talent for breaking down complex topics into digestible information. I am so grateful for this channel.
Hey, inspired by you, I downloaded processing, and is now learning about data types. Thanks for your wholesomeness, and positivity.
I'm not saying I'm watching this while on mushrooms. I'm just saying if I _were_ watching this, there's _a chance_ I'm watching it while on mushrooms.
"I don't know what I've made here..."
Why, you've made an old Windows screensaver, of course.
I can't possibly be the only one who remembers this one!
Not the only one. I am from the 90s too.
He should remake the pipes ones
Well, you probably think of the old win95 mystify screensaver:
ua-cam.com/video/p-howMhFecQ/v-deo.html#t=8s
It still existed in win XP:
ua-cam.com/video/uZQr-gHyYFI/v-deo.html
This is the classic one. However there's a newer version called Mystify in win10:
ua-cam.com/video/yE3BTTtPKB4/v-deo.html
The old one just draws 2 quadrilateral where the 4 points are bouncy balls. Each of the two quadrilaterals have a certain amount of "history". So each frame the bouncy balls advance and a new shape is drawn, but the old ones still remain. so if a shape has a history of 12, there are always the last 12 copies of the shape on screen. When a bouncy ball was reflected it got a random velocity to add more dynamic to it. It was a very simply screensaver.
The Win 10 version actually draws "curves". It's hard to tell because they added a lot of blur and glow and it fades out rather quickly. Though it may just be a leading vertex that moves around and drags the other control points behind by some constraints. While the general idea is similar, it works a bit different. They most likely just use a render buffer and never clear it as usual but simply let that buffer fade to black all the time. So the newly drawn shapes are bright while everything else is constantly fading away.
I really enjoyed seeing the code for that one screensaver from the 90s.
After years scratching my head about cubic splines, your explanation was the the most intuitive and clear. I will never forget this. Thank you for this great tutorial!
Absolutely one of your best videos yet! Keep up the great work!
wow, that was a great video. all those details, the video itself, the use of timestamps, the way it's cut/presented, just... everything
I haven't watched the whole video, but I'm so happy that this exists and that you exists. Your work is incredible, and always makes me fell so happy. Also, I'm a visual artist and a programmer, your channel is perfect for me
Daniel, I love the work you're doing. Thanks for teaching!
I love your videos, especially coding challenges so informative :)
the bouncing particles at the end really reminded me of the dvd thing hitting the corner of the screen
I love your passion! Thanks for the great tutorials and coding challenges :)
Very nice content! I've implemented this algorithm before and used it frequently , especially bezier animation!
I hope you can continue this series because i am very interested in understanding these type of algorithms.
You are the man who brings me to the world of computer graphics, thanks man
I love watching these videos. These really are just amazing. With all of the lines, these absolutely resemble "shade sails".
I've had a rough couple of weeks but this does put a smile on my face and I don't know how. Thank You.
The Bezier function was explained in such a casual and easy way. Just beautiful to watch!
currently learning some stuff for programming as i intend to study it in some years , the biggest thing about your channels is that you explain it in a really easy way , step by step and even the math behind it! the way you teach , explain and show is so funny and enjoyable! so much talent and so much passion for your channel i love it!
The cool thing about this channel is that it literally covers almost every aspect of programming, even the JavaScript libraries.
Keep it up!
You read the minds of artists/programmers: all your tutorials are gold!
Once again, this guy has blown my mind with his simple, helpful, humerus interpretation and implementation of what would normally be a complex coding nightmare. Bravo, bravo... keep it up Dan...
I have always wanted to know how this works! Also I've used a function similar to lurp before and I always wondered how it could do that. Thanks for breaking it down for all of us. Keep up the awesome work!!
You're so passionate about teaching and coding, thank u so much all this free information
like usual , always stunning ! thank you , love it
Another mind-blowing video. Congrats!
This is phenomenally useful and such a good breakdown. I've been clueless all morning; now 20 minutes later I'm sorted. Such a great video!
Nice. I've been following you for a hort time but already love your videos so much, that I started making my own videos inspired by you. Thanks
Just want to say the production is on another level now! I've been a fan for a while, and love your clear explanations!
Thank you, glad to hear that! (Especially given I had some audio issues with this one)
@@TheCodingTrain Yes, I love the way the production quality has evolved over the past 6 years that I've been watching! :D
I started watching the coding challenge series a weeks ago. For me it's been a week or 2, but for David it's been years!
I'm inspired to see the love and enthusiasm he still has!
I love it too, but who is david?
Thanks so much for the video, when you explain it, it is very intuitive and very easy to understand.
Really awesome vid. I've been using Bezier curves in Unity for a while even converted bezier code into DOT's code but I didn't understand the underlying bezier code, that is until now thanks to you.
Used this to draw tubing for a project but didn't know the math behind it. Very interesting to see, thank you
Thanks for this video. I've been trying to come to grip with curves for decades
Entertaining and educational as always! Love ya, man!
That's only one channel all over the UA-cam which I like a lot I love to learn with u that's awesome moment
love your videos! its practical, unique, challenging, and informative =)
Great explanation, finally these equations make sense
Dan, you are a force of the nature. Thank you man!
14:46 This was the penny drop moment for me! The way the bezier was calculated, and the reason the curve doesn't come close to the control point, suddenly made clear 😮😀
This is complex to me but the initial explanation made my understanding of this concept clearer. Thank you for this wonderful content!
Right in the moment when i neede it! Thank you for a great content!
A topic I always wanted to learn.. Thanks Dan..
I really enjoyed that! You made your very own Windows 95 Screen Saver!
the explanation of the white bord.just wow! . thank you sir.
woah, bézier lines make sense now!
Very lucid :-) For those interested, the mathematical process of finding a curve tangent to a family of lines (or curves) is known as an envelope.
I love your work man !
The master of inspiration
I never understood what is lerp function
Now its soo clear
❤
Another great video, thanks so much.
Awesome. I enjoyed that very much.
It's so sad to see you getting old. Love you Daniel! You are amazing. :):
Inspiring stuff, as always
Amazing explanation for bezier curves! This explanation was so good that I probably will not forget how bezier curves are drawn, not after having heard the term "lerpception" XD. Once again, awesome explanation!
Thank you! This is a great tutorial.
Congratulations you made the old Windows Bezier screen saver!
This is awesome.
This is so cool! I love it!
Its amazing you never fail to entertain!! :D
Thank you sir, I've learned a lot from this vid.
I had a chance to write some dancing graphics with splines in X11 on a SunOS back in college. Great video on how splines work. Thanks!
A developer for 10 years now, and watching this channel makes me love coding again.
Thanks, very informative and entertaining.
Oh man... you and your pineapple shirt... you brought a smile to my face already at 4:30... you got the gift of teaching... One would never snooze at your presentations.... very well done.
I was soo happy to see processing update their website to a react webapp!
Amazingly explained. I don't have to say more. :) Bezier Curves are amazing.
liking the post editing. great vid :)
Freya Holmér just made a great video about bezier curves a few days ago
I know!! It is so beautiful
Heel erg mooi, dank u voor de video J. Oswald
I love this video! I wish I had seen in High school; the '90s.
i'll probably remember bezier curve as LERPCEPTION forever xD
thank you so much for such a simple but great explanation!
This might just be the best programing channel on the entire internet
This has been great fun!
great work thank you!
You made a screensaver, and it is awesome!
When I get a job I'll donate again. Thank you for your work. Helped me get my last job
That is an awesome explanation! Thanks for that!
Got stuck on bezier curves a while back while trying to solve the Mars lander challenge on codingame. Maybe I'll give it another go, since I now know that bezier curves are not that mystical.
Very well done video!!... Congrats you made a bezeir screensaver😆
Is this the first video with this new type of editing? IT IS AWESOME!!!
I really liked it!
i've done a fair bit of drawing with bezier curves and i wrote a lerp fuction once, but i had no idea that a bezier is just a lerp of a lerp. that is so cool! :D
Same! That is just mind blowing to me!
The cubic Bézier curve we love is a lerp of a lerp of a lerp!
@@cmyk8964 or a lerp of two lerps, that's how i like to think of it.
Great video. Certainly demystifies the inner workings of Bezier curves.
I also wanted to say that the coloured boxes that you draw around snippets of text really help to understand what you trying to point out.
Keep up the great work!
Fantastic!
Please do a tutorial on mapping stars against a sky sphere, i.e. declination and right ascension co-ordinates for a star map, mapped onto a screen.
Congrats! You made a screensaver from windows 98! Beautiful!
Damn, and here I was scrolling through and feeling smug that nobody had mentioned it yet.
Sigh.
This is underrated!
Ive been following this channel for the last 5 years and I went from someone who hated web dev to a working frontend developer. but the best part is I still subconsciously learn more about math than programming and i fucking love that.
Very well made video
Loved it
thank you!
I remember when I was a kid and discovered that you can make a curve with straight lines and I started drawing a bunch of those curves messing with all sorts of parameters, apparently young had just rediscovered bezier curves, that's really cool
i actually used to do the same thing, when I saw the string art i was like wait what
Woow great video
Thanks! just... wow
Very useful!
I love the "and because they are seperate lines - I can make them rainbow colored" - part.
Lerperfect video!
Thank you very much
Awesome tutorial as always,
I hope it might help but to avoid the js rounding I wrote (in Processing) for(float t=0; t < 1+delta; t+=delta), I'm not sure it's the best solution but I think it might be more adaptable when delta changes.
Anyway, the tutorial was extraordinary :D
Awesome 👏
Wonderful
Seeing cubic calling quadratic brings to mind the possibility of a quintic bezier, or even a recursive function that can go even further...
By the way, you could have a recursive Bezier creator, as well as a version with the nets, very easily if you instead passed a list of vectors. Roughly, you recursively call it for a lower degrees on both all but the last vector, and all but the first vector, then you lerp the output vectors as in the video. The base case would be the line (first degree)
You're incredibly good at explaining as always.
Also I need the source of your ideas, cause i can never think of something by myself.