Bezier Curves

[@matthewrister]

Wow, this is an outstanding explanation of Bezier curves. Thank you so much for making this available on KZbin!

[@lapisdust]

This is the best, thorough, practical and concise explanation of derivation and use of Bezier curves I've found on KZbin!

[@Mar_Ten]

This is the teaching I want at my university. Explaining the fundamentals of something is required for understanding the whole thing. Something they tend to forget where I study.

[@webmaster246]

Teachers simply don't give a damn, or they have no spirit within the field .

[@Mar_Ten]

@@webmaster246 as a teacher my self, that highly depends on the teacher. There are good ones and there are bad ones. Most of them do care, but just can't deliver.

[@bonbonpony]

<a href="#" class="seekto" data-time="42">00:42</a> There should be `i` instead of `n`, because the exponents go through the same indexes as the `a` coefficients. `n` is your maximal exponent (equal to the degree). So the way you wrote it would have all the terms to the `n`th power.

[@bingochipspass08]

My God was this video a life saver!...Thank Goodness I found it...Thank you soooooo much sir for this wonderful explanation!..Thinking about taking up a specialization in Graphics!!

[@shaikhyusufniaz759]

have your completed your specialization

[@morganparker3478]

I guess Im asking the wrong place but does any of you know of a method to get back into an Instagram account?? I was dumb forgot my account password. I love any tricks you can offer me.

[@karatedog]

Thanks, very good explanation, the definition of P(x0, y0) helped me a lot. A small err: at <a href="#" class="seekto" data-time="359">5:59</a> "when t is equal to 1" should be "when t is equal to 0".

[@Pib31995]

You're such a great tutor. Thanks a lot mate!

[@mission3479]

Thanks for explaining how the control points at P are split into x,y, no other guide I could find explained this

[@namenloss730]

As a native french speaker: the pronunciation you use is right

[@TheRojo387]

Hopefully you're not among the snobby jerks who snub non-native speakers for butchering French.

[@namenloss730]

@@TheRojo387 why would i? i speak a bunch of languages poorly. My british accent has faded into oblivion after years of disuse Now in english i have a weird accent...

[@yvdgehemsn2458]

Quickest and cleanest introduction into the world of b-splines!

[@femloh]

Excellent Tutorial. Much better than my Lecturer. Understand it perfectly now.Thank You.

[@yangchen392]

very clear explanation :) I think the concept is very straightforward with such cartoons.

[@ZhijingShao]

Awesome explanation. Must known knowledge before diving into B-splines.

[@hiyata4694]

Brilliant explanation, thank you so much!

[@has921]

Great lecture and explanation. Thank you for uploading this. :)

[@snehasishdebnath9384]

Thanks a lot for this Lecture on Bezier Curve. It is going to help me a lot.

[@mohammadvahedi575]

thank your sir, Great content , Keep Going Strong...

[@yaapub6239]

Best

[@alexmattheis]

Great explanations.

[@HKwak]

You saved my life. Thank you very much. Just one quick question. That letter S of NewTimesRoman may have issue of control points that are not one-to-one matching, i.e. there exists t which has more than one coressponding point. How do we handle that? Maybe we don't increase the degree to keep it in a one equation, but use a number of cubic or quadratic Bezier curves derived from neighborhood points?

[@js.y.4949]

Brilliant video! is there any way i can get the slide for the note-taking and review purposes?

[@smooshproductions8811]

Very good explanation!

[@sebinsong5236]

Thank you very much. It's a really informative video with straightforward explanation for every bit of details. :)

[@zstolfi]

I'm literally only watching this to figure out how it's pronounced

[@TheWildmedia]

Came for the pronunciation, stayed for the explanation.

[@Vekkq]

I still don't understand why cubic curves are more often used than quadratic curves. As I see it: easier is better. Less calculation is faster and the user has to set just one control point. Or is there any reason to have more than one control point in some field?

[@DrJonShiach]

Simply for the reason that with cubic curves you can have two bends in the curve rather than just one which is more useful. Of course you can join two quadratic curves end on end but that would require 5 control points. For complicated curves with lots of bends you are better off using B-splines.

[@warrenmanuel7183]

Absolutely smashing! lifesaver!!!

[@dr.mohamedaitnouh4501]

can we draw knots such as the trefoil knot with Bezier curves? how can we find control points from a knot projection? I think it is possible but I need to know wether there is a quick easy way?

[@ashleyraine3823]

Thank you for this! My exam is in two days and my lecturer was so hard to understand and could never explain it properly

[@chriswong1374]

could you explain more on the role of t in the equation? why is it (1-t) and t?

[@mehdimemar]

A masterpiece! Thank you very much.

[@santanubanerjee490]

Any image of 1st curve solution??

[@lakshayvirmani6031]

Great explanation! Thanks a lot. :)

[@michaelmillward2913]

Thank you sir. Explained very well :)

[@yuzhoulin8225]

for the polynomial shown at beginning, the formula should be the sum of a_i *x^i, (rather than x^n?)

[@arteks2001]

Yes, it should be x^i instead of x^n.

[@nealevans3977]

Hi, I have put you formula into a c++ programme and its fine. I need a few more control points. My maths is not so good as to go into binomials. Could you please show me the formula?

[@sanketdarekar8152]

very well explain sir.thk u

[@abedachref3691]

kind sir, where can I find this presentation? I need to do the same bezier drawing you did (quadratic) and explain as you ? thank you in advance

[@TylerMatthewHarris]

made this with different variable names earlier, www.desmos.com/calculator/ict5jhkqdl can't figure out how to draw the line connecting the three points though

[@KreefLewer]

thanks, was all info i needed to make 'fountains' in my game

[@user-xk8tx1dx4c]

easy to understand. good introduction

[@joseinTokyo]

GREAT! RENAULT!DIDNT KNOW THAT

[@karimkhan1312]

excelent thank u sir

[@riccardod.888]

Thank you so much !

[@osamamelhem]

thanks so much, but what shall I do to make the curve passing exactly from the 4 points.

[@lucyfrye1337]

The quadratic is C(t) = lerp( lerp(p0, p1, t), lerp(p1, p2, t), t) done!

[@hugomalone4345]

Grammar Boys, Welcome

[@wyb314]

I want to get the PPT , can you give me ? Thanks!

[@doppel268]

Really helpful!

[@kwkmwm]

Thanks sir :) it helped a lot!!

[@ALIAlFihdaweeALI4W]

THANK YOU VERY MUCH !!!

[@devrajatverma]

Thank you...

[@philippvanderloos2051]

Thank you Sir :)

[@fotofosforilasi]

bjir

[@MicheleAlbanese93]

Are there any slides available for download?

[@rimu162]

i love you

[@saviohudson]

French have a thing for curves!

[@chlordk]

Bézier vs Casteljau: Whatever, can't pronounce any of them anyway.

[@Courserasrikanthdrk]

well understood

[@maithanhbinh387]

may i get the slide

[@danielburgos4554]

thanks :)

[@arnabpersonal6729]

haha claim your equation with your name

[@erolazanniarzemi2039]

What software u use to draw it?

[@piomar123]

Looks like a LaTeX presentation with TikZ package for drawing (or a similar one like PSTricks). And the last drawings are from Matlab.

[@Varaughe]

In case you are an Unity user, you should check "Runtime Curve Editor" on Unity Asset Store, you can see a very practical example of using Bezier curves(and De Casteljau for dividing curves).

[@yaapub6239]

CATIA V5 is also okay

[@damndaniel111]

aui mate.

[@TheRojo387]

Bézier is pronounced [bezje].

[@ohwy6424]

pog

[@marievandervlugt5023]

Bonjour' Je suis nul en anglais, mais grâce à vos image je pense avoir compris. Avais vous un site où l'on peux télécharger vos fiche d'explication et vous contacter. Merci beaucoup pour vos video.

[@jilongzhang1851]

maintenant, il y a les sous titres, ca pourra vous aider bcp

[@gasoline8441]

cof cof

[@leewilliam3417]

Make sure you don't put your name on it😊

[@wishcraft4u2]

lol the very first formula is just wrong, it should be x to the ith, not to the nth obviously... How encouraging.

[@yogeshkakde1091]

Amazing explanation!

[@jamesrockford2626]

truly awesome explanation... thank you