Bezier Curves Explained

This video covers the basics of Bezier curves :
- Linear Bezier curves
- Quadratic Bezier curves
- Cubic Bezier curves
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[@JoffreyB]

My goodness! I've been taught multiple lectures by my very smart professors in UNI, have read tons of math material about it, but still couldn't get the intuition behind it. This video summarizes Bezier Curves so goddamned well in 2 minutes that I don't even know the hell are teachers doing several lectures with tens of hours in a row and STILL can't explain the intuition behind the things they teach! And look, I get it, compared to this video, teachers obviously go more deeper and formal with thousands lines of math formulas, but it's useless if you can't visualize how this stuff actually works simultaneously with those formulas. The best way to teach abstract math topics (in my opinion) is to show how it actually looks and works graphically (visually) with parameters in formulas being changed AND THEN go more deeper into this stuff with math, otherwise those formulas (and topic itself) will not make a dime sense if you can't picturize what a great thing is behind them. Thanks for the video.

[@iCanHazTwentyLetters]

I agree with this guy. Animation makes this a lot easier, and it seems like the author of the video actually wants the observer to learn something.

[@lemonbirdo1353]

Send this to your teachers in an anonymous letter, or something similar.

[@holeblack2437]

Some one said "Math is beautiful". Now I agree because of this video, but not because of my professors.

[@lunyxappocalypse7071]

@@iCanHazTwentyLetters Hai, indeed bézier curves makes animation easier also. I think I will attempt to make one in Roblox Studio.

[@SuharikBombaster]

Im 13 and i understand how it works. I even programmed the curve by myself. This video is very cool.

It's utterly incredibly how true that old phrase is: "a picture is worth 1000 words". As many have said below you have a highly unique, and very rare skill in knowing how best to reduce a complex principle into the perfect animation. Well done, and thank you.

[@tanvirhasanmonir1627]

Thanks a lot, at last I got to understand what is Bezier Curve. Your explanation with animation is awesome!

[@faithinverity8523]

+1 merci

[@Herbert.]

I've been professionally working with Bézier curves for multiple years now and have only just understood the (to be fair, rather simple) logic behind it. Thank you so much!

[@PRESHITAMETABME]

The only explanation of Bezier curves on youtube that gives intution... Keep up the good work

[@mohit619able]

For people confused how the equation represents a line, imagine p0 as a starting point, p1 as the direction of the line (direction from point p0 to point p1) from the starting point and t to be the magnitude of the line. So when t=0, the magnitude of the line is 0 and the line is point p0. As t increases, the line grows in the direction of p1.

[@Junjokar]

Thanks for taking the time to represent this visually!

[@hike8932]

This is the best explanation for linear curves in my opinion, the equations do get a little complicated further but thats how it is and the visulizatuon is simply too good

[@pinkijaiswal2185]

Your illustration was on point . I could visualise every segment clearly . This video needs more views

[@its_ya_guy_the_big_bak_guai]

This was so helpful. I just used it as a reference in a computer graphics assignment where I had to draw bezier, quadratic, and cubic curves. Thank you!

[@Paul-rs4gd]

Great explanation. I invested 3 minutes of my life, and now I understand Bezier curves. Amazing !

[@thihaaung1944]

I really appreciate for making this "Bezier Curves Explained" video.

[@Random_Blip]

Great explanation. "A picture is worth a thousand words." ... A video is worth a thousand pictures.

[@stone7327]

The visuals make everything very easy to comprehend, and your commentary is also informative and easily understood. I appreciate how you step up slowly from a simple line all the way to a cubic Bezier curve. Lastly, your voice is very pleasing to the ears. Thank you! :D

[@unrep8935]

Lucid explanation, so good, many thanks, such a help!

[@onesandzeroes4203]

Thank you so much, I need this for something. Very short and straight to the point.

[@nitsi9333]

literally what i was looking for! the equation at the end specifically was a godsend!

[@xeiuk]

I feel so smart. Every article I've read about Bezier curves are like 10 pages long, they overexplain crap. This video is 10/10

[@vishalmishra3046]

*WHAT* ? Bezier curves were really this simple and so easily explainable by a 3 min video ? Great video and thanks so much for sharing this wonderful video with such simple explanation.

[@Yes-jc9jg]

for those who want to understand thel linear interpolation equation it's simple: L(t) = P0 + t*(P1-P0) = P0 - P0t + P1t = (1-t)P0+t*P1 great videos dude, amazing how simple things get so abstract sometimes

[@amit_awadhi]

Best visualization and mathematical explanation of bezier curve 👍

[@sidds5039]

The visuals are great - I didn't realize how simple these would be to understand. Thanks for sharing!

[@mohitashliya8750]

So simple explaination yet great and only in 3 minutes and with visualization God it is the key video to understand bezier curves. Thanks for this ultimate thing.

[@mithunLOL]

Thank you so much! Possibly the best explanation of how a Bézier curve is constructed. You actually *get* the Bernstein polynomials too, in a video that's just 3 minutes long: Everything should be made as simple as possible, but no simpler. This is it! Thanks Guidev/Anass Erraki.

[@vaisakhkm783]

Wow... this is the best video on bezier Curve... i never thought i will understand it... you saved me.. thanks

[@ronj9448]

Wonderful. The animation really illustrates the point well.

[@KEITHHAYES001]

This is great. I was able to stop and replay to see how a point switches from one control line to another. A clear easy to understand explanation.

[@nikokolas1138]

Thanks for your video. The iteration from quadratic to cubic is very well explained

[@klausdupont6335]

The only video that explains the mechanism behind. Thanks!

[@sharvanshshukla1679]

Saw this as the first piece of material ever for bezier curves 2 days before my exam, and i dont think i need anything else, amazing!!!

[@allansmith350]

wow, this was massively helpful in better understanding something I have used every day for decades! love it

[@yourvideocourse]

That should be the video on 1st place at "bezier curve math" request! Cool visuals, incredibly helps to understand, also text was kept very simple, many thanks!

[@FlashBash64]

Thank you so much for explaining how it works instead of just spitting out equations.

[@Georgelajimathew505]

Visualization helped a lot during the explanation. Thanks a lot.

[@probreyene9595]

This is the best and shortest explanation for bezier curves congrats

[@ArduinoHocam]

Nice and neat explanation in such a short amount of time!

[@fluctura]

You just taught a developer how to implement a really cool UI for a new sound synthesis method

[@simeonshaffar982]

Holy shit the fact that my brain just understands what it is seeing is astonishing considering how many textbooks and lectures can spend dozens of hours on this with no luck

[@user-pe9tj5fn4e]

Amazing explanation, Thank you so much !!

[@beliasphyre3497]

This is exactly what I've been trying to figure out for years now.

[@Head60ty4]

Thank you for short and correct explanation. You helped me as many other strangers, looking for help :)

[@emeraldthunder]

Three minutes of your video gives me more information than hours of research. It takes some skill to do that.

[@lukes4731]

Bezier curves are really cool, thanks for the explanation!

[@tommasopuccini3688]

Damn bro you helped a brother out on his math investigation CHEERS

[@ameyadesai6382]

In all took me 5 minutes to get this concept clear with the animation. Incryoable!! Thank you.

[@mercyapolot7757]

Omg so perfect. A whole lecture was summarized in three minutes.

[@VariableInteractive]

You have no idea how much help this video was to me. it was all perfectly explained in just 3 Minutes!!!

[@benjamin.burton]

This is great! Thank you for making this video

[@im-essi]

VERY well visualized! Was looking for a quick, concise refresher, this hit just perfect. Good stuff :)

[@chaoskiddo5996]

This is a very well put together video, thank you. I have an exam next week, i wish there were similar videos on Hermite and natural splines as well. Those hour long lectures arent doing me a favor

[@fyrerayne8882]

Visualizing it really helps. Thanks

[@miloz1950]

No-one will tell me that school teaches better than internet

[@timesnewrman]

* _takes uno reverse card_ school learns more than internet

[@user-id3fc8qs7y]

Hey... I think you missed some English lessons, because school itself doesn't learn what Bezier curves are, it *teaches* you

[@dwacheopus]

​@@user-id3fc8qs7y yeah, i was going to type the same thing

[@loremipsum3147]

It didn't work on your English tho

[@miloz1950]

teaches ik, my mistake

[@enzi_r9810]

the visualisation really helps

[@larbigueraiche6721]

Well explained Bezier curves. Thanks a lot.

[@LarsiPuZZy]

Fully underrated video. Thank's bro!

[@notadj]

short sweet and very intuitive. thanks

[@johnymnemonic4657]

These are parametric equations with n+1 control points,P0,P1,P2,P3 are control points.2 Functions x(t),and y(t)

[@Ahmvedy]

Holy sh*t! That animation summarizes a lot. Thank you very much.

[@SillyNaughty]

I've used these things for years, my mind is blown. Thank you

[@ramharipandey6324]

magnificent explanation i had never thought i will ever understand these curves. Thank you very much.

[@klam77]

Most brilliant! INterpolation of interpolation of interpolation with common parameter t ! wow.

[@tejasnareshsuvarna7948]

Amazing video. Understood literally everything about it. Thank you so much.

[@GurcharanSingh-qi4ww]

Nice Visualization. Help to understand how Bezier Curves work at their very roots.

[@tanzinabillah]

Brilliantly explained. I bookmarked your video instantly. Keep up the good work !

[@ogonkishi6403]

Thanks a lot! Best summary you can find!

[@Vikram-wx4hg]

Simply fantastic - getting these concepts across in 3 minutes. Wow!

[@ANJA-mj1to]

Valuable content! Bezier curves are used in computer graphics 21.st. to draw shapes for instance VECTOR graphics as well as ANIMATION defined by control ~POINTS~. YOU HAVEE DEFINE ALL POINTS AND CURVES. Points that are not always on the cureve as well as the order equals the number of points mins one with big issue how computer graphics it's POSSIBLE TO OTIMIZE INTESECTION TEST. Thank you

[@JF-vg4ll]

A must be seen video ! Thanks a lot

[@rutujakandekar164]

Explanation with animation is awesome 🤞

[@luispalharesfluis2936]

Very very very very very good presentation !!! Congratulations !!!

[@piano_depois_dos_50]

Thank you! Great explanation! The animated dots made it very easy to understand.

[@MrG0olden]

Man you are so good at this! Thank you!

[@worawituttamang6214]

excellent! You made me understand in 3 minutes!

[@MauroScomparin]

Great explanation, it's clear and visualising in the animation the mats helps a lot

[@manassingh2060]

Great Video. Really helped me understand Bezier Curves

[@edwardvivanco1090]

Greetings from USA, awesome explanation! Quick and to the point (which is exactly what I was looking for).

[@rendermangl]

Perfectly done. Thanks mate!

[@swarayushita3830]

this was more than awesome, extremely grateful for ur hardwork

[@disco4535]

Excellent visualization! Extremely helpful having that and the equations.

[@wanxinwang5985]

The best explanation I have ever seen!!!

[@AmitSingh-nr8jz]

Awesome .. simple and intuitive explanation

[@lucasreis9426]

Truly an amazing video, my friend! Short, to the point and very easy to understand.

[@MohamedOsama-mz1mg]

omg better than lectures explaining it in like 20 mins

[@katanakal]

Great explanation thank you so much..

[@oct8bit]

Great Explainsion, keep it up, it is much easy to understand

[@kurteckhardt2002]

Great explanation! Thank you.

[@bridge5189]

"So afterall, a quadratic Bezier curve is an interpolation between two linear interpolations and a cubic Bezier curve is an interpolation between two quadratic curves" Thank you very much for such a clear explanation!

[@Pramit2000]

Summary of the video.

[@jiper94]

Amazing explanation, love the visuals. Thanks for sharing this, really top notch!

[@DaniNovak]

Very Clear Explanation. Straight to the point. Thanks!

[@AmitSingh-nr8jz]

simple and clear explanation ... thanks a lot

[@chafrewilcha]

OOOOHH! As a former math major in late high school & in college, this was VERY interesting! Would have continued watching if it was 10 times longer!

[@atishayjain1303]

Explained it so clearly.

[@jetsi81]

This is brilliant, I learned more in 3 minutes than in a month of math class. Thanks for making this sir!

[@chienvt]

Thanks, your explanation is so great!

[@timadams1662]

This video blew my mind. Thank you.

[@Cube_Box]

Wow, im truly speechless! Thank you very much for this amazing video!

[@wishcraft4u2]

I will try to use this to create an easily scaled font for text in a video game I'm trying to make!

[@raksharao9938]

Thank you for explaining this!

[@QiuShanBeiKun]

good work, as a short, clear, intro video

[@krzysztofkomor8049]

explenation on point very intuitiven that's what I was looking for Big thanks