You gotta read GPU Gems 
These are the foam calculations. The top texture is a 4x4 pixel texture which is white in the center and has a 1 pixel black border on the outer edge. This is used as a mask to prevent the inside texture from leaking out into the distance. The texture below it is a special mask along the shoreline that fades from black (all areas without any shoreline foam) to gray (the shoreline) to white (the point where the shore stops crashing). The texture at the bottom is a black and white noise map. I use a material parameter collection to control the ocean across multiple materials (the landscape and the seawater) at the same time. The textures are planar mapped from the top, using a custom world location and set size for alignment. The waves themselves are generated by sine waves.
Aside from using a texture mask, there really is no other option to generating a nice shore wave. So the texture capture and alignment has to be absolutely perfect.
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Begin Object Class=EdGraphPin Name="EdGraphPin_60608"
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Begin Object Class=EdGraphPin Name="EdGraphPin_60605"
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Begin Object Class=EdGraphPin Name="EdGraphPin_60604"
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Begin Object Class=EdGraphPin Name="EdGraphPin_60603"
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Begin Object Class=MaterialExpressionTextureSample Name="MaterialExpressionTextureSample_8"
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Begin Object Name="EdGraphPin_60609"
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Begin Object Name="EdGraphPin_60608"
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Begin Object Name="EdGraphPin_60607"
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Begin Object Name="EdGraphPin_60605"
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Begin Object Name="EdGraphPin_60603"
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Begin Object Name="MaterialExpressionTextureSample_8"
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Begin Object Class=EdGraphPin Name="EdGraphPin_60611"
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Begin Object Class=MaterialExpressionMultiply Name="MaterialExpressionMultiply_33"
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_263"
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Begin Object Name="MaterialExpressionTime_7"
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_264"
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Begin Object Class=MaterialExpressionCollectionParameter Name="MaterialExpressionCollectionParameter_21"
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Begin Object Name="MaterialExpressionCollectionParameter_21"
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_266"
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Begin Object Class=MaterialExpressionCollectionParameter Name="MaterialExpressionCollectionParameter_22"
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Begin Object Name="MaterialExpressionCollectionParameter_22"
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_267"
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Begin Object Class=MaterialExpressionCollectionParameter Name="MaterialExpressionCollectionParameter_23"
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Begin Object Name="MaterialExpressionCollectionParameter_23"
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Begin Object Class=EdGraphPin Name="EdGraphPin_60621"
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Begin Object Class=EdGraphPin Name="EdGraphPin_60620"
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Begin Object Class=MaterialExpressionSphereMask Name="MaterialExpressionSphereMask_2"
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Begin Object Name="EdGraphPin_60623"
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LinkedTo(0)=EdGraphPin'MaterialGraphNode_270.EdGraphPin_60626'
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Begin Object Name="EdGraphPin_60622"
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LinkedTo(0)=EdGraphPin'MaterialGraphNode_271.EdGraphPin_60627'
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Begin Object Name="EdGraphPin_60621"
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LinkedTo(0)=EdGraphPin'MaterialGraphNode_269.EdGraphPin_60625'
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Begin Object Name="EdGraphPin_60620"
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LinkedTo(0)=EdGraphPin'MaterialGraphNode_273.EdGraphPin_60630'
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_269"
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Begin Object Class=MaterialExpressionConstant Name="MaterialExpressionConstant_9"
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Begin Object Name="EdGraphPin_60625"
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Begin Object Name="MaterialExpressionConstant_9"
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_270"
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_271"
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Begin Object Class=MaterialExpressionCollectionParameter Name="MaterialExpressionCollectionParameter_24"
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Begin Object Name="MaterialExpressionCollectionParameter_24"
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_272"
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Begin Object Class=MaterialExpressionCollectionParameter Name="MaterialExpressionCollectionParameter_25"
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Begin Object Name="MaterialExpressionCollectionParameter_25"
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_273"
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Begin Object Class=MaterialExpressionSine Name="MaterialExpressionSine_2"
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Begin Object Name="EdGraphPin_60630"
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LinkedTo(0)=EdGraphPin'MaterialGraphNode_268.EdGraphPin_60620'
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Begin Object Name="MaterialExpressionSine_2"
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LinkedTo(0)=EdGraphPin'MaterialGraphNode_273.EdGraphPin_60629'
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Begin Object Name="EdGraphPin_60632"
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Begin Object Name="EdGraphPin_60631"
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LinkedTo(0)=EdGraphPin'MaterialGraphNode_253.EdGraphPin_60578'
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_275"
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Begin Object Class=MaterialExpressionCollectionParameter Name="MaterialExpressionCollectionParameter_26"
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Begin Object Name="MaterialExpressionCollectionParameter_26"
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_276"
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Begin Object Class=EdGraphPin Name="EdGraphPin_60638"
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Begin Object Class=EdGraphPin Name="EdGraphPin_60636"
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Begin Object Class=EdGraphPin Name="EdGraphPin_60635"
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Begin Object Class=MaterialExpressionTextureSample Name="MaterialExpressionTextureSample_9"
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Begin Object Name="EdGraphPin_60641"
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Begin Object Name="EdGraphPin_60640"
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Begin Object Name="EdGraphPin_60639"
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Begin Object Name="EdGraphPin_60638"
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Begin Object Name="EdGraphPin_60637"
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Begin Object Name="EdGraphPin_60636"
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Begin Object Name="EdGraphPin_60635"
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Begin Object Name="MaterialExpressionTextureSample_9"
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Begin Object Class=MaterialGraphNode Name="MaterialGraphNode_277"
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Begin Object Class=EdGraphPin Name="EdGraphPin_60643"
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Begin Object Class=EdGraphPin Name="EdGraphPin_60642"
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Begin Object Class=MaterialExpressionMultiply Name="MaterialExpressionMultiply_36"
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Begin Object Name="EdGraphPin_60644"
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LinkedTo(0)=EdGraphPin'MaterialGraphNode_254.EdGraphPin_60579'
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Begin Object Name="EdGraphPin_60643"
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you don’t have to rely on a texture mask.
you can even make a shore wave using depthbias alpha (see this example), which is why I suggested distancefields in the first place (should be superior to depthbias alpha and as of 4.12 the landscape is in theory creating proper distancefield data)
And again, that method doesn’t define the shore, it defines the distance from the surface to the ground. You can have a sandbar very close to the surface of the water, but not breaking, and both the depth biased and distance to nearest methods will assume it is a shoreline and start generating waves where there shouldn’t be any at all.
The only way to accurately determine the shoreline is through a texture mask or a skirt mesh. Vertex painting is too expensive if you’re going to cover the entire ocean with vertices, and skirt meshes won’t work for very large oceans, so this leaves the texture option as the best one. If you do use a depth-based method, it will only be good for rocking seas and simple foam, not waves along the shore.
well yes, but then all you have to do is ensure there is a smooth slope underwater so the shader won’t make these mistakes. if you don’t want waves, no smooth slope.
with the proper underwater slope, the depth-based method can still produce quite good results for waves along the shore
here’s the same sample again as video: link. it’s a topdown game so it’s not that detailed but it can work
having a slope underwater is a small concession you have to make but it still produces natural results (btw IRL you see a sandbar close to the surface of the water it will have waves anyway). but if you really don’t want to make it then you’ll have to go for the more expensive methods
But that top down game is not really relevant anyway unless your game has similar camera constraints in which case you can fake things way more easily even with the standard depth fade.
You cannot use the same method and have it look the same when the player has more control over the camera angles, like a fps or especially a third person view with camera zoom in/out.
Anyways, when using distance fields you will have to disable generated distance fields for all your static meshes so that you can just read the landscape df (I’m assuming that can be done, haven’t tried it).
If you also want df for shadows and whatnot then obviously your material will also read the df of any mesh near the water plane… you cant have both working perfectly at the same time.
Have you tried using a 16bit landscape heightmap (select HDR compression in the texture settings)? from my limited testing it looks a lot less jaggy but you are not wrong when you said you are limited to pixel accuracy when using that method 
If your shore area is only a small part of your landscape then you can crop that part out from a higher resolution heightmap (like 4k +, assuming you have the means to do that ofc is your heightmap made in world machine?), then it’s just a simple matter of mapping it properly to match your landscape.
the method would work all the same if using distance fields. plus that game was done in UE3, I would expect more from UE4 
but regular meshes causing shore waves wouldn’t be a disaster would it? in most cases I would even think it’d be the intended behavior
actually I’ve been thinking about making a request for “distance field channels” (limited to 4 channels, so storing the DistanceField as a Vector4 rather than a Float) but I think Epic won’t like the performance implications
Not a disaster but the intended behavior (at least the way I see it) would be mesh df + landscape df… but you cant have that when a nearby mesh overrides the landscape df.
That sounds great to me but yeah… I don’t think Epic will like it either it feels to me they are way too strict when it comes to adding new features (even though it can just be optional :rolleyes:).
Even though distance to nearest works on landscape, my method for generating waves had waves appearing over sand bars, and not nice sine waves: the entire sandbar just faded between white and blue. My wave-generation method using a gradient around the shoreline did not work with depth-based methods because it had waves crashing and distorting where no waves should be crashing at all. Once again, the only thing you can get with distance based functions is a very simple foam around the object itself. The distance-field method does not render fast enough for games, and the depth-based method does not produce waves around objects. So the best method, the only method that is sure to work when determining the shoreline, is a texture mask. And don’t knock it! This is how Assassin’s Creed III made their water: with a 512x512 texture mask for the shoreline. And their water was lovely.
Even though distance to nearest works on landscape, my method for generating waves had waves appearing over sand bars, and not nice sine waves: the entire sandbar just faded between white and blue. My wave-generation method using a gradient around the shoreline did not work with depth-based methods because it had waves crashing and distorting where no waves should be crashing at all. Once again, the only thing you can get with distance based functions is a very simple foam around the object itself. The distance-field method does not render fast enough for games, and the depth-based method does not produce waves around objects. So the best method, the only method that is sure to work when determining the shoreline, is a texture mask. And don’t knock it! This is how Assassin’s Creed III made their water: with a 512x512 texture mask for the shoreline. And their water was lovely.
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The texture method is not working with 3D generated waves like the ocean community project or the physical water surface from the marketplace. It only works for flat water that does not crawl up and down on landscapes and other shore objects. Distance field based can do this.
A completely different technique, day dreaming really, might be to use wave particles that react naturally to objects and assign them foam. But this is a rather high-hanging fruit.
Actually, that’s not impossible, or nearly as taxing as you think. GPU particles collide really easily with scene depth and distance fields. If you can use the GPU to render water particles, it is really easy to do so. Not for an entire ocean, but for a shoreline, yeah, it’s totally feasible. NVIDIA Flexworks has small-scale water simulations down pat. I’m sure lower quality ones would work well for shorelines.
Technically if it can work in a distance field it can also work in a texture, since you can encode distance fields as textures. It may just be there is an additional step needed to transform height date or whatever texture data you have into something more like a distance field. In general, blurring the values a ton will make it work better with something like gerstner waves.
It is very difficult to have a gerstner wave that reacts to the shoreline without making sure that the field has mostly continuous low curvature. Any sharp changes of any kind will cause a huge discontinuity in the wave. You need more of a very averaged direction towards the shore rather than an exact height field (though heightfield and local DF still useful for FX like wave crests hitting rocks in open water, the rock DF doesnt need to alter the wave direction just spawn foam + FX).
I have implemented a jump flooding method that can convert seeds into voronoi diagrams (look it up in the pixeljunk shooter paper), and next I want to make it work with landscape edges. All I should have to do is render the heightmap into an RT and detect pixels that straddle the waterZ (like sobel method) and encode those pixels as seeds and every other pixel as black and then run the jump flood. Fingers crossed. If I get something good I will share it with you guys.
That sounds really interesting Ryan, I would love to hear more about it when you have the time! 
So I haven’t had time to do that yet but it occurs to me many of you guys probably dont know about this photoshop trick to convert masks into distance fields. This has some big limitations like the spread radius is not very big, so you will want to downsize your texture if the gradient is not reaching far enough, but it works.
So here are the steps.
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Bring in an image of your heightfield into photoshop. Here is a snip from the kite terrain I used to demonstrate:
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Use Levels tool to make it black and white at the water level. It will be helpful to take a 2nd screenshot with matching camera angle with some object placed right at the waterline so you can make sure you get the right spot.
(ie, the white needs to be any terrain above the water… you could even make your landscape shader do this for you automatically pretty easily by doing “if Z > water, 1, else 0”)
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Use the Select->color range tool to select all the whites:
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Make a new layer and fill in the selection with white. Then fill in the original background layer with black. No image for this step.
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Add a layer style to the new top layer. The settings are very important. This is one of the most hidden, powerful tricks in photoshop that nobody seems to know about.
It needs to be: Stroke: Position=Outside, Fill Type=Gradient, Style=Shape Burst. Then make sure toset the size appropriately.
Also if this was more of a true distance field like for a font, you would want to choose Position=Center so that the distance field goes inside too and is at 0.5 on the border. Since we don’t care about waves going on top of the beach we don’t need to waste the limited range in that area.
You should then get something like this which is much more usable as a wave map from shore, but note it isn’t perfect as it treats even tiny pebbles poking up through the water as islands. So you may choose to mask some parts of it separately.
You could then blur this texture a bit to remove some of the sharp corners and then convert it into a normal map using the nvidia filters and end up with a decent vector map for the waves.
You would want to make sure to fade out the contribution of this vector map before it reaches flatness or in areas that have intersections going two ways. This would work much better with an island than a valley like I did here but hopefully you get the idea.
For this valley I probably should have used a bit of a thinner width for the gradient since you can’t really have the waves going out further than half the width of the ‘lake’ which seems to be what I created above. Still hope its useful.
I would probably fix the small outcroppings dominating the image by removing them from the first pass before adding the stroke filter, and then moving them to another layer with a much darker white value and set it to ‘ligten’ or something so it would have its contribution pushed beneath the island gradients. Then you may have to still mask the areas where the direction sharply goes opposite directions.
Just tried to do that last part but for the life of me I can no longer find out how to “Apply layer style” and “rasterize layer” is greyed out (wtf)… hmmmm I used to do both of those things all the time.
(edit: found how to bake image style. for some reason they decided to needlessly rename that to be layer style-> create later. why must they do this, that name doesn’t even make sense :P)
Thanks for the nice tutorial!
Regarding distance fields and Gerstner waves, or 3D water is general, I recently started looking into the topic and bought the Physical Water Surface from the Marketplace, which is a straight Gerstner Sum of some 19 components as I remember. I works really well with the distance field based foam using the DistanceToNearestSurface node and then some material node magic on top of that. Really nice organic foam while the waves are going up and down around objects. Will post a little video when the shader is somewhat final.
Yep you’re right, didn’t know about this at all. 
Thank you for such an in depth explanation Ryan, I can see this being useful for much more than just water. Going to put this on my to do list and try it out asap. Thanks!
I tested the distance field based approach and at least for us it is the way to go. Thanks for pointing me to it. To be honest, a week ago I did not know the distancetonearestsurface node even exists
1:50 with the foam grawling under the rock is the stuff!
How goes with this project? Were you able to solve the?