Bezier Curves Explained 

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.

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.

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

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!

Thanks for taking the time to represent this visually!

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

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

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

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

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!

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.

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.

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

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

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

*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.

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

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

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

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

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

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.

Amazing video! I completely understood it, and I appreciate you taking the time to share the knowledge!

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

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

Wonderful. The animation really illustrates the point well.

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

Excellent visualization! Extremely helpful having that and the equations.

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.

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!

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

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

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

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

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

this was more than awesome, extremely grateful for ur hardwork

Very Clear Explanation. Straight to the point. Thanks!

Man you are so good at this! Thank you!

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

The only video that explains the mechanism behind. Thanks!

This is great! Thank you for making this video

Thanks for the explanation, you made it easy to understand, simple and elegant.

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

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

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

Thanks a lot! Best summary you can find!

A must be seen video ! Thanks a lot

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

Perfectly done. Thanks mate!

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

Amazing explanation, Thank you so much !!

This is the best and shortest explanation for bezier curves congrats

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

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

Thank you so much for this great illustration!

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!!!

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

This video blew my mind. Thank you.

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

Explanation to the point. Good work!

Fully underrated video. Thank's bro!

short sweet and very intuitive. thanks

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

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

Great Video. Really helped me understand Bezier Curves

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

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

Bezier curves are really cool, thanks for the explanation!

Well explained Bezier curves. Thanks a lot.

Amazing, so accurate and simple. Thank you.

Wonderful! Simple and best explanation.

Thanks, your explanation is so great!

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

Wow! it was so easy and natural to understand, great video! Deservs more views!

The best explanation I have ever seen!!!

Great explanation! Thank you.

This is soooo helpful!! I honestly would've be so lost without this video. Tysm!

Thank you, this explanation is really well done!

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

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

Best visualization and mathematical explanation of bezier curve 👍

I love you!!!!!!!!!!!!!!!!!!!!!!! Thanks for making seemingly difficult concepts so easy to understand!

Explanation with animation is awesome 🤞

Awesome .. simple and intuitive explanation

Thank you so much! Instant understanding!

you are just awesome!! felt like I was spoon fed Bezier curves into my memory!

you made it as simple as 3 minutes to get ..you are really awsome keep up the good work..!!

excellent! You made me understand in 3 minutes!

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

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

simple and clear explanation ... thanks a lot

Thank you for explaining this!

Visualizing it really helps. Thanks

Very simple and very useful.

the best video out there on the subject

so well explained :) subbed!

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

Thank you so much for this amazing video.

Explained it so clearly.

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