Got about 7 minutes in until my brain rejected it. Stunning work, good on you for being so good at maths! I wish I could understand what you've done properly

You have done some good work on this issue. I am a retired expert in Fourier theory and it is interesting to see how the FFT still rocks on 50 years ago when I first used it.

Can’t believe I am learning Physics in a Unity tutorial-this is so well-made!

I was at a computer graphics company (on of the first doing commercial work) in 1987 and saw what was at the time an astounding, color still of a perspective view of the surface of a calm sea, bathed in the golden light of a sunset. It had taken hours, perhaps even over night, to render on a minicomputer. It was quite advanced at the time. I was told by the guy who modeled the scene that it involved sin/cos functions, which was more or less obvious because it was periodic but I didn't really understand how (and the source was FORTRAN, which had to be batch processed from a stack of Hollerith [IBM ]cards). So it was a pleasure to find this explanation.

Hope there's more videos coming! They are all beautifully presented.

Amazing work man! Getting the feeling that this is gonna blow up

Man, youtube recommendations have been awesome lately! Finding all of these small but amazing channels left and right

This is awesome, hope you’ll cover ocean shading, LOD management etc as you’ve said!

THIS IS GREAT. THANK YOU!! its so hard to find detailed breakdowns of complex topics that arent targeted to specialists or total beginners. 100% sub'd and excited to see what else you have to offer! THANKS AGAIN.

This is very high quality content, thank you! I hope you're doing great and will return with more great stuff!

Great video! Thanks for covering the math and describing the issues involved.

I've personally had instances when we were at anchor, the current came from the north and was stronger than the wind coming from the south. Pushing the ship with her stern towards the wind. The strangest part was that the waves also came from the south hitting the transom. It's like a huge bass drum being kicked irregularly

What a great video! Thank you for going into the details and providing detailed references.

Man, this is awesome. A bit dense/condensed, but an excellent high level overview-- I learned a lot. I'm completely new to FFT, so I know that I'm going to be checking out the 3B1B video next, but this was honestly the coolest introduction.

I implemented your GitHub code in a unity project with XR enabled. These waves look awesome in VR. I assumed performance would be an issue, but it runs perfectly. Thanks for creating this. Giving me an awesome jumping off point for a novel VR experience.

this video is just awesome.And I am really interested in topics the current video does not mention like ocean shader and mesh LOD.Looking forward to see more about these!

Outstanding work . Speechless but still commenting seeing how underrated this vid is .

Omg this channel is insane! I really loved your videos. Keep up man!

What a very outstanding explanation, i love your work!

wow this looks ultra realistic, good job!

Never thought fourier transforms would work for me one day Dude the world is a better place with u in it So you could help people understand better and more tangible Great job Keep up the good work

Great topic and extremely detailed, such great work nice!

Very easy to understand :) Thank you for making this video

Subscribed, you deserve more attention on youtube. Thanks for that video!

Super useful and very nicely done!

Awesome 🔥🔥🔥 Instantly attention captured

Fantastic work, thank you

Excellent video! Great job.

Dude. Your video is great. Keep up the good work.

Pretty cool to see the applications of what you learn in differential equations

Great explenation and visualisation!

nice job man keep going amazing content!

This is superb! Definitely subscribing!

This is so interesting. People like you make games beautiful. Thank you :)

Thank you for good knowledge, I will try to digest it into use.

Im not sure the accuracy of this, but I’ve read that there is something about pink noise as the spectrum of the ocean, it has a characteristic rise in amplitude as the frequency decreases. What’s interesting is that the pink noise is invariant under Fourier transform, and I wonder if applying this randomness instead of Gaussian would change the already beautiful results. Looking forward to more content!

Beautiful work!

Beautiful presentation. Subbed!

Really interesting and well made!!

One of the best video on the topic!

Great work! Thanks!

It's great work. Thank you!

Very nice work! I thought the foam was a bit much on some of the waves. They gave the impression that they were hitting some rocks that were out of the frame. Then again there must be an indication of reflected waves if it was the case which I did not notice. It's amazing how we get attuned to how the sea behaves: our vestibular system starts doing some Fourier analysis after spending some time on the see and we get sea legs when we are back on land.

Huge like to this , great explanation! bravo!

This is so cool... I've gotta try this method in my Archipelago project! Thank you for posting!

Thanks for the knowledge.

Subbed, very nicely presented overview

Great explanation!

Your videos are honestly amazing! Thank you and keep it up!

This is amazing work - I'll be looking out for a Patreon page soon. I hope you keep making videos - subscribed!

I once worked on a lobster fishing boat 90 miles off the coast of North Carolina, and there were rare occasions where the ocean was amazingly flat, as depicted in this simulation. But most of the time there were rolling hills and even mountains of water.

좋은 강의 영상입니다! 많은 도움이 되었습니다~! 정말 감사합니다.

pretty nice video ! thanks a lot !

This is the content I'm here for! 👏

What a genius applying these advanced transforming things. Only thing you could have added is clouds /sky movement to make it even more vivid.

Fantastic! Wish I saw this earlier

Amazing video!

Dude, you are legend!

Really great content.

Maaaan KZfaq always recommends videos explaining the gap in your understanding for an exam perfectly right after the exam XD

Spectacular !

Great video!

Great video.

really nice!

dude you really deserve millions of subscribers

Looked at the code and have no idea what half the stuff does but I understand the concept. Really high quality waves though, looks amazing.

Очень круто! Спасибо, что решил поделиться.

It's incredible !!!!

Excellent and fascinating work. It is very neat how you can synthesize a realistically-looking ocean based on rigorous physics of wave dynamics. I have one comment regarding the rendering, for example at 11:05. While the theory used is certainly for non-breaking waves, and therefore the waves by themselves would not produce foam, one can easily imagine a situation where the foam is pre-existing and the waves just move it around. Now, what happens in this animation extract is that the white patches (which I perceive as foam) move with the wave crests. In my opinion, you would get a more realistic effect if the foam remained on the air-water interface essentially at the same points in space horizontally, and the waves simply propagated over it. If you want to be maximally realistic, you could consider the back and forth motion associated with the horizontal oscillations produced by each wave cycle, and even, possibly, the slow drift, produced by the Stokes drift (although that latter aspect would not add much to the realism on the time scale of a few seconds).

Hello! What parameters can be used to obtain a wave with large peaks as, for example, for Gerstner waves? Or does this method not provide for such an approach? Thanks! Amazing work!

AMAZING!!

Outstanding.

You're a genius.............thank you!

Wow this is just amazing. most of the description went over my head but i am still very impressed. How would you go about combining this with onshore waves around an island? to have breaking waves coming from all angles?

amazing. Please do more videos like this

When something conceptually and mathematically so elegant works so well for so long in so many different fields, it probably holds some fundamental meaning.

Amazing!!!!

Awesome!

Sir! Thank You for Your work! That's very valuable material and it is a matter of time for Your channel to go viral! I would be awesome if You could cover these topics in more details

It's an amazing effort, I noticed there's also foam around the edge of the rowboat. It seems like there's a little too much uniformity and too much foam. It might look a little boring to remove some of that garnish, but it should look more realistic with less foam or maybe the foam triggers only a little more at the extremes

It is nice to hear your slav accent

astonishing

Following this closely! Currently using Crest HDRP

Очень интересно !

Awesome work, dude! How long did it this project take?

Amazing! Can imagine what enormous computations are required to add there some solitons to simulate waves with negative slope...

Mind = blown, I'm probably gonna have to watch this like 30 times before I fully understand how it works.

Neat! I'm surprised inverse FFT isn't used in procedural generation more often.

Who’s here from the Acerola ocean video?

amazing

Awesome video. How do you get the white caps on the waves?I didn't see an explanation for how that was modelled.

amazing work .. i like the stuff you shared, great knowledge

Very nice video, definitely be interested in seeing the follow up on the other stuff you talked about. One thing I'll mention, is that when you exit the Unity world, those problems with "Pipelinestalls" and things aren't really issues. In API's like Vulkan, asynchronous execution of GPU commands is not only an option, its *expected and default behavior*. You can even separate the FFT step *entirely* from your rendering, have it be performed at a lower frame rate, and even *interpolate* the results by looking a head, but I digress. What you would probably do in this case is use double buffering, use the GPU to write the output in one buffer, and on the next frame use another buffer, allowing you to safely copy the information you need to your CPU while it is calculating the next buffer. No pipeline stalls period. What you would really want to do however, is calculate boyancy *on the GPU* instead, then copy *that* data to the host which is much much smaller.

mind boggling.

i would like to see a video about combining two waves from different directions :)

This is an excellent video! I'm a little confused by what the texture above h0k (9:35) is representing, are the values for kx, kz, and omega in the r, g, and b channels respectively? I noticed while reading through your code that WaveData stores vec4, so im a little confused about what data is being represented in the texture. I would appreciate any clarification and thanks again for this amazing video!!

What about the foam around objects (like the boat)? Do you simply use particle effects or are those also done on the water shader? If so how?

This I nice.can it be implemented and visualized in MATLAB?secondly I was wondering if there could be another video on fluid structure interactions ?

Great work! I am researching FFT and shader languages to develop the same ocean simulation myself. Do you think the shader graph of unity can make this simulation as well? It is a lot of math and I wonder if it is worth making so much effort as the shader graph seems easier. What do you think?

Hi! any Idea of how can I integrate dynamic waves and foam, and does buyoancy script come included?