The Beauty of Code: Flow Fields

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  • Опубликовано: 8 авг 2021
  • Learn more from in-depth development tutorials and courses at chriscourses.com/
    A flow field is a grid of vectors where neighboring values relate to one another. It's used to create generative effects where objects that travel over it look as if they're "flowing" through some sort of stream, or gust in the wind. It creates for some truly beautiful effects, which I why I decided to make this video in the first place.
    The creation of the flow field starts with laying out an array of points on a 2D (or 3D) canvas.
    From there, a line is drawn from each individual point to help visualize which direction they will push any particle that travels over them. With the lines drawn on the grid, a flow field can be formed by using a two-dimensional Perlin noise function that for each iteration, returns a value that's related to the previous one, varying from 0-1. To access the full degrees of a circular rotation, we multiply this 0-1 Perlin Noise value by 3.14 (PI) * 2.
    With the rotation taking effect, a flow field should form, giving us the ability to create art in more than a number of ways.

Комментарии • 124

  • @ChrisCourses
    @ChrisCourses  8 месяцев назад +33

    I recorded this in a closet btw

    • @reid_makes_art
      @reid_makes_art 4 месяца назад +2

      nice, I converted my closet into a recording room too lol

    • @Suav58
      @Suav58 13 дней назад

      Around 2:30 a characteristically American point of view. This is putting collective self (of [re-]creators [discoverers, rather] and explorers of the world and mathematics in particular) in a position of transcendence. Yes, there is this feeling of transcendence, but I find it somehow more sane to think about it and this is, I believe, in the spirit of Kurt Gödel, as an aspiration to the true transcendence.
      Otherwise thank you for all your work and sharing.

    • @Ixion125
      @Ixion125 4 дня назад

      %

  • @alirahmani5601
    @alirahmani5601 2 года назад +195

    WOW, I can't imagine how much time, energy, and love is spent on this 7-minute video. The presentation was as exciting as the flow itself. BIG THANKS for this one.

    • @ChrisCourses
      @ChrisCourses  2 года назад +31

      Thanks homie, this was all done remotely on my laptop, and recorded inside a closet lol. Don't need anything crazy to get the quality goin, def expect even more though when I'm back home on my supercharged PC 🔥

    • @alirahmani5601
      @alirahmani5601 2 года назад +3

      @@ChrisCourses 🤗😋

  • @ernststravoblofeld
    @ernststravoblofeld Год назад +6

    Perlin created his noise function to do stuff he couldn't do while working on Tron. Won an Oscar for it.

  • @theangry0077
    @theangry0077 Год назад +46

    very nice video! quick note: to find the magnitude (or “strength”) of a vector, you can use Pythagoras to find the distance between (0,0) and the vector. if the distance is greater than the desired strength then divide the x and y by the vectors strength and then multiply them by the desired strength.
    example:
    x: 6
    y: 8
    desired strength: 5
    strength: sqrt(6^2 + 8^2) = 10
    new x: 6 / 10 * 5 = 3
    new y: 8 / 10 * 5 = 4
    the new strength is now 5.

  • @Teflora
    @Teflora 2 года назад +20

    Nice video! Here's a super small trick that can make a huge difference: rotate the vectors of the flow field by 90°! That makes it a curl noise, and the particles don't clump together into ant-lines anymore!

    • @mrbjjackson
      @mrbjjackson 2 года назад +3

      Hi, do you mind explaining this a bit more please. I've been experimenting with flow fields recently and I've noticed my flows all seem to go in one direction. I'm guessing that's because Perkin noise goes from 0 - 1 but doesn't cross over from 1 back to 0 or vice versa. Is that right? Is your comment about how to avoid that? Thanks very much.

    • @Teflora
      @Teflora 2 года назад +15

      @@mrbjjackson ok let me try: usually random generated flow fields are converging (clumping together) or diverging (spreading out), they have these characteristics just by chance basically. Rotating all the vectors by 90° is just a very simple operation to get rid of these.
      Imagine you have a flow field with all vectors pointing to one point. It's like a sink everything would get sucked into that point. Rotate each vector by 90° you get a whirlpool where every vector circles around that point instead. They don't clump anymore. You get rid of convergence and divergence, also called non-compressable (you often hear that in fluid simulations)

    • @mrbjjackson
      @mrbjjackson 2 года назад +2

      @@Teflora Thanks so much for the reply! Great example.

  • @kyliegrass9026
    @kyliegrass9026 2 года назад +2

    Who knew math could be art!! This is stunning!

  • @Way_Of_The_Light
    @Way_Of_The_Light 2 года назад +6

    Your channel is so underrated man 😭 Keep up the good work. You deserve a million subscribers 👏👏👏✨✨

    • @ChrisCourses
      @ChrisCourses  2 года назад +1

      Thanks man, one day we'll get there 😎

  • @elliot_yoyo
    @elliot_yoyo 2 года назад +3

    The quality of the video is insane. Good job!

    • @ChrisCourses
      @ChrisCourses  2 года назад

      Thanks a ton homie, do something enough and eventually you get better at it 😆

  • @Nothing-cx4jt
    @Nothing-cx4jt Год назад

    This is an interesting approach! Love the way you presented your thinking process. Thanks for sharing

  • @FiftyKcal
    @FiftyKcal 2 года назад +7

    wow, the end results are beautiful, great vid!

    • @ChrisCourses
      @ChrisCourses  2 года назад

      Thank you, glad you enjoyed it 🙌

  • @dingleferry736
    @dingleferry736 2 года назад

    Great video! I learned a bunch and those visuals are gorgeous!

  • @jeroencommandeur
    @jeroencommandeur 8 месяцев назад

    Love the combination of the music with the flowfields in the later part of the vid. Well done (besides all the coding)!

  • @CyCloNeReactorCore
    @CyCloNeReactorCore 2 года назад +1

    This video has an amazing amount of effort put into it! great video :)

  • @synergydevelopment3666
    @synergydevelopment3666 Год назад

    really nice explained and the flow of the video was awesome ! We want more ! :D

  • @yadav-r
    @yadav-r 2 года назад

    insightful, very beautifully explained

  • @gabrielle1962
    @gabrielle1962 Год назад

    This is amazing! This was super inspiring

  • @julianjacobs8956
    @julianjacobs8956 2 года назад +1

    this is incredible! really cool intersection of math, code, video production and lofi 😂great video!

  • @urssounds
    @urssounds 2 года назад

    Stellar channel, content and infos! Thx! That’s why I love YT! Keep it coming! 🙏

  • @deathdefier45
    @deathdefier45 9 месяцев назад

    Love you Chris you're a legend for us mere mortals ❤

  • @nomadtrails
    @nomadtrails 2 года назад +29

    Awesome man, this is an enormous level up from your past videos (at least the ones I watched a year or two ago), and I have complete confidence that you could transition away from teaching/tutorials to just publishing your own explorations of your own interests, for the rest of us to consume as _entertainment_. This is on the level with fireship and other greats in the space. Cheers.

    • @ChrisCourses
      @ChrisCourses  2 года назад +4

      That's my goal tbh, one day I'll be able to do this kind of stuff full-time 😅
      Nevertheless, thanks man, really appreciate comments like this, they always bring me up if I'm ever feeling down.

    • @newuser689
      @newuser689 2 года назад +1

      I agree, but I wouldn't mind more teaching/tutorials in the meantime :)

  • @leonamteixeira3292
    @leonamteixeira3292 8 месяцев назад

    This is pure art!

  • @yannncs
    @yannncs Месяц назад

    This is amazing ! Thanks for sharing

  • @tofflan555
    @tofflan555 2 года назад +2

    Nicely done, beautiful video!

  • @sayochikun3288
    @sayochikun3288 2 года назад +1

    I agree with comments. presentation was in whole another level

  • @ExodiumTM
    @ExodiumTM 8 месяцев назад +3

    Pretty sure these are standard vector fields/field lines. Very widely used in STEM: electromagnetism, fluid mechanics, gravity, climatology, movement of particles/bacteria/etc. in body fluids, geology (good job pointing out 2:08), and a lot more

  • @ryanchew2171
    @ryanchew2171 2 года назад

    This video is amazing!

  • @zalodias123
    @zalodias123 2 года назад +8

    Incredible video, Chris! Would love to see the behind-the-scenes of how you made this. Great animation and sound design all throughout.

  • @christopher7540
    @christopher7540 2 года назад +2

    fantastic animations dude, keep it up

  • @bloodylupin
    @bloodylupin 4 месяца назад

    amazing video and art 🔥

  • @carlosamaya4141
    @carlosamaya4141 2 года назад

    Just amazing! Thanks

  • @dbroche
    @dbroche 2 года назад

    👏🏼👏🏼👏🏼 bravo! Standing ovation!

  • @hadee.guitarist
    @hadee.guitarist 6 месяцев назад

    brilliant and beautiful thank you

  • @Me__me1-2
    @Me__me1-2 11 дней назад

    It's beautiful 🥺🥺

  • @benjaminguma9962
    @benjaminguma9962 2 года назад +2

    This guy is a Legend

    • @ChrisCourses
      @ChrisCourses  2 года назад

      Just a nerd passionate about continued learning 😆

  • @genericmainer
    @genericmainer 2 года назад

    Dude this is incredible..

  •  2 года назад

    Excellent video my friend

  • @FlyingParrot225
    @FlyingParrot225 8 месяцев назад

    Loved the vid! I wonder if you did some form of interpolation between the generated vectors surrounding the position of the particle then the particles wouldn't bunch up into a line

  • @abdulsalamaboubakar4059
    @abdulsalamaboubakar4059 2 года назад +1

    Beautiful video

  • @oswinbijuchacko2682
    @oswinbijuchacko2682 2 года назад

    That is so cool !!

  • @raunitshrivastava8480
    @raunitshrivastava8480 2 года назад +1

    Wtf bro this is amazing omg

  • @hectorfoss6180
    @hectorfoss6180 8 месяцев назад

    OMG LOVE THIS

  • @Hersatz
    @Hersatz 8 месяцев назад +17

    Flowfields are used in video games for some specific use cases related mostly -as far as my knowledge goes anyway- to AI path finding.
    One recent, and very good demonstration of this is A Plague Tale, where the rat swarms use a flow field to move around instead of calculating individually a new path every N frames.
    It's mostly an optimization thing compared to the usual pathfinding suspects.

    • @MrSofazocker
      @MrSofazocker 8 месяцев назад +1

      Great thing you mention this!
      Flow Fields are being used in many VFX for video games.
      The rats you mention in A Plagues Tale are actually not individual AI Agents, that would be too much. FlowFields are what allowed to do this.
      You can learn more from the GDC talk about their work. It is really fascinating!

  • @MaxMohammadi
    @MaxMohammadi 2 года назад +2

    Bro quality of your videos getting exponentially better. Keep up the good work. These tutorials are entertaining and nicely edited

    • @ChrisCourses
      @ChrisCourses  2 года назад

      Thanks man, pretty excited for the next one of these-will be doing it back home where I have a computer that doesn't force me to wait a minute to watch 5 seconds of rendering 😆

  • @neutron417
    @neutron417 8 месяцев назад +2

    This is ART disguised as coding

  • @benrobo8
    @benrobo8 2 года назад +2

    I just love this guy, Chris thanks for this 👏👏😍😍😍

  • @maderxyz
    @maderxyz 8 месяцев назад

    Very cool!

  • @fortedexe8273
    @fortedexe8273 2 года назад

    wow, that really impress

  • @MsAnihi
    @MsAnihi Год назад

    Damn, this was good.

  • @freya7455
    @freya7455 2 года назад

    This is absolutely stunning! Does anyone know the best way to achieve the effect shown at the end where the flow fields follow the mouse coordinates?

    • @HatsuneSquidward
      @HatsuneSquidward Год назад

      Lots of vector math. Probably a lot of ways to do it, but I would get the mouse position and have all the vectors slowly track towards it. You'd have to ditch the perlin noise

  • @sagielevy
    @sagielevy 2 года назад +3

    Great stuff man!
    How did you get it to run this well in realtime? Did you eventually implement it for the GPU?

  • @AVCD44
    @AVCD44 8 месяцев назад

    Amazing

  • @ynschannel_
    @ynschannel_ 8 месяцев назад

    It's all Javascript?. Love it.

  • @abdelrahman5094
    @abdelrahman5094 2 года назад +1

    insane video quality

    • @ChrisCourses
      @ChrisCourses  2 года назад

      Thanks man, excited for the next one

  • @aubisoka
    @aubisoka Год назад

    Amazing! Where can i learn to do this? I did not find it on your Homepage.

  • @benrobo8
    @benrobo8 2 года назад +2

    Am shut of words, like WOW 👏👌👌😍😍!! This is Great, well done Chris. Was wandering if a crash course is available on this flow fields algorithm.

    • @sofakinguseless32
      @sofakinguseless32 2 года назад +1

      😆😆🤣

    • @ChrisCourses
      @ChrisCourses  2 года назад +1

      Hell yeah man, appreciate the response! Don't have anything in store at the moment since my course backlog is so full right now, but wouldn't be a bad idea to get something out within the next week while it's still fresh in my mind lol. Will prob post on my tutorial site at some point if I do decide to go through with it, but either way, can always send you the code if you'd like to get a look at the full thing 🙌

    • @benrobo8
      @benrobo8 2 года назад

      @@ChrisCourses sure chris appreciate

  • @coldman91
    @coldman91 9 месяцев назад

    Hey! Have you tried using wave amplitude?

  • @seanballais
    @seanballais 3 дня назад

    What's the name for the closing music? I love it!

  • @blackrack2008
    @blackrack2008 Год назад

    Your particles and paths are clumping up because you're using a convergent noise. You can fix this by using curl noise, you'll get much better results

  • @user-tl1gy2fq7x
    @user-tl1gy2fq7x Год назад

    Isn't your vectory-lib still available ? I can't find it... is there an equivalent ? I want to use Perlin noise and mouse-hover effects like shown at the end of your video

  • @Four_Eyes
    @Four_Eyes 2 года назад

    after my own heart ✨

  • @JohnWasinger
    @JohnWasinger Год назад

    Awesome shout out to the coding train!

  • @atomictraveller
    @atomictraveller Год назад

    re: "ken perlin the third (not really)"
    julius orion smith III at stanford's ccrma provides the most heroically extensive reference for audio dsp you'll find ;)

  • @jstro-hobbytech
    @jstro-hobbytech 6 месяцев назад

    Good video. I hope the nft comment was sarcasm that went over my head.

  • @tachrayonic2982
    @tachrayonic2982 8 месяцев назад +1

    Instead of capping the speed at 5, I wonder what would happen if you "Made the velocity approach the desired value"
    That is to say, each flow field point can be multiplied by your desired speed to create a desired velocity at that point.
    Then, you use a drag function (Multiplying the velocity by something less than 1, such as 0.95) to control the velocity.
    In this case, you would subtract the desired velocity, apply the drag, then add the desired velocity back in.
    What this does is it makes the velocity approach the desired value, in the same way the a drag function used on its own would make the velocity approach 0.

    • @tachrayonic2982
      @tachrayonic2982 8 месяцев назад

      Having messed around with homing projectiles in Unity, I would take this another step further.
      I would assign each object an Angular Velocity, that is to say a measure of how the direction it is moving is rotating with time.
      Using the desired direction taken from the flow field, I would accelerate this Angular velocity towards the desired direction.
      Without angular drag, this would absolutely overshoot the desired direction, potentially creating really interesting effects.
      I have used this exact system in 3 dimensions, when I set out with the goal to get a cluster of homing projectiles to avoid clumping up when given the same target. I can't say it was super successful, but it was certainly interesting. Unfortunately you couldn't really see the spread from the point of the one launching the projectiles.

  • @htspencer9084
    @htspencer9084 8 месяцев назад

    I've been using perlin noise for yonks but had no idea it was invented for Tron!

  • @erturkyorulmaz7376
    @erturkyorulmaz7376 6 месяцев назад

    👏Have you shared your Perlin Noice code in any other video?

  • @claudiusraphael9423
    @claudiusraphael9423 9 месяцев назад

    Nice backgroundmusic! lol, that aside: it reminds me hard of the boundary when waves intersections become foam due to the difference in air contained/submerged. Tried to film that, but humans have laserfocus and much of the beauty is lost when tracked with just a camera. But the Flow Fields are very similar if not identical.

  • @AKU666
    @AKU666 5 месяцев назад

    I know about Flow Fields because i'm in community of Beyond All Reason game. We don't use it in pathfinding system though.

  • @jaysonwalsh7666
    @jaysonwalsh7666 7 месяцев назад

    What programmes do you use?

  • @BrainInACat
    @BrainInACat Год назад

    cant tell what language your using here ( I am new) is it javascript or maybe python? would love to know~

  • @vachila643
    @vachila643 2 года назад

    My Gosh...why is this video so underrated aaahhhh, it is so entertaining and informative
    How did you even find theses sound effects Haha You're doing awesome man!!!

  • @deepgawande6511
    @deepgawande6511 2 года назад

    That was awesome (maja aya)

  • @baronvonbeandip
    @baronvonbeandip 8 месяцев назад

    Commenting for the algorithm

  • @BrianHagertyLawyer
    @BrianHagertyLawyer 2 месяца назад

    Have you made any of this code available?

  • @PixelatedBrain7
    @PixelatedBrain7 2 года назад +2

    Nice you should collab with frank laboratory.

  • @sanjaysinghbhandari3793
    @sanjaysinghbhandari3793 2 года назад

    niceeee

  • @mickyr171
    @mickyr171 2 года назад

    Lol, i used to build fields this way, as a grid, its the same way everyone does them, all you need is a function that takes in an x,y coordinate and spits out a vector based on some math, then you can make a field to represent any force at any location, far easier and far more powerful because you dont have an entire grid cell taking up the same vector

  • @JonathanZigler
    @JonathanZigler 8 месяцев назад +1

    Unit vectors could have normalized the field

  • @Zenzicubic
    @Zenzicubic Год назад +1

    Cool, your next challenge is to write the Perlin noise function yourself. It really is not that difficult if you research vector math. Also as someone who knows a bit about physics, the mathematical basis of flowing water (the Navier Stokes equations) do use something similar to flow fields.

  • @WhateverOwO
    @WhateverOwO 8 месяцев назад

    2:15
    Water DOES follow a vector field to move and interact, it's the velocity field and that field follows the Navier-Stokes equations

    • @WhateverOwO
      @WhateverOwO 8 месяцев назад

      water has one condition to have a valid velocity field tho, that's that the divergence of the velocity field has to be 0 because water is not compressible and because of the mass conservation rule

  • @simplyD11
    @simplyD11 8 месяцев назад

    Go 3d with this, for example using it for murmuration of birds in the sky 🙂

  • @Wrigggy
    @Wrigggy 6 месяцев назад

    change it so the particles affect the field itself (gravity).

  • @whoami-404
    @whoami-404 2 года назад

    use it as an audio visualizer

    • @epicm999
      @epicm999 6 месяцев назад

      Interesting use case

  • @bhanubhattarai13
    @bhanubhattarai13 8 месяцев назад

    Similar to recent Apple event animation.

  • @fitradical
    @fitradical 2 года назад

    Q U A L I T Y

  • @arktessellator_10
    @arktessellator_10 3 месяца назад

    should have simply studied code base of manim and how vector flow field is evaluated in general using numerical math methods used to solve differential equations like runge kutta method (all available in manim library), that would have been a lot quicker and more correct way for you.

  • @ThankYouESM
    @ThankYouESM Год назад

    Hi, I am a Python beginner, here asking if you can please build for the public an open source Python application that will convert our Python script close as possible into purely a Javascript code basically making it 1000* times easier for the vast majority of people to develop Javascript applications to quite an extent, therefore... we can have the best of both worlds. It doesn't have to be anywhere complicated like a 3D game engine, Thanks.

  • @DerSolinski
    @DerSolinski 8 месяцев назад

    Who need Boids lol

  • @DiamondDF
    @DiamondDF 8 месяцев назад

    The Beauty of Math*

  • @garlic-os
    @garlic-os 8 месяцев назад +1

    Such a cool video! Too bad you participate in NFTs.

  • @prouddesk6577
    @prouddesk6577 Год назад

    the voice 💀

  • @dreamer2178
    @dreamer2178 2 года назад

    Cool video but NFTs? Really? Man I can't escape those scams anywhere, can I?

  • @__hannibaal__
    @__hannibaal__ 8 месяцев назад

    Ha ha ha; it s look easy… ha; you need too much mathematic, numerical analysis, mechanics, fluid mechanics; continuum medium mechanics; partiel differential equations, …………. Finit element method, ……, theory of matrix, linear algebra; differential geometry……..;
    Programming skill : fortran or C/C++ preference…… real simulation

  • @gameworkerty
    @gameworkerty 8 месяцев назад

    "NFT", ope Im out.