Raymarching on rasterized shape - opengl-es

I have been wondering how I can combine two methods of rendering in a way that the rasterized on-screen shape serves as a canvas for ray-march based rendering in fragment shader.
Take these beautiful examples: https://www.shadertoy.com/view/XsjXRm or https://www.shadertoy.com/view/MtXSzS
The visible part of them can be roughly represented as sphere. Now what I'd like to do is to put say two spheres into some place in the world and run the regular rasterization pass. The rasterization will yield which pixels are occupied by the models and for those pixels I'd like to actually run the shadertoy ray-marching algorithms to get the desired look (my two spheres look like shadertoy "spheres" in the examples above).
Is this something doable?
P.S. I know rasterization and matrix/spaces transformation quite well, but I have very vague understanding of how ray-marching works. Pardon my ignorance.

This is definitely possible.
The idea is to use the same camera for ray tracing and for rasterization.
You can get the camera's position from the camera matrix in the fragment shader and you can get the camera's direction by subtracting the fragments position from the camera's position and normalizing it.
This way the rays are only cast from the camera to the visible fragments.

Related

Threejs - can you use circleBufferGeometry with Points material?

I am setting up a particle system in threejs by adapting the buffer geometry drawcalls example in threejs. I want to create a series of points, but I want them to be round.
The documentation for threejs points says it accepts geometry or buffer geometry, but I also noticed there is a circleBufferGeometry. Can I use this?
Or is there another way to make the points round besides using sprites? I'm not sure, but it seems like loading an image for each particle would cause a lot of unnecessary overhead.
So, in short, is there a more performant or simple way to make a particle system of round particles (spheres or discs) in threejs without sprites?
If you want to draw each "point"/"particle" as a geometric circle, you can use THREE.InstancedBufferGeometry or take a look at this
The geometry of a Points object defines where the points exist in 3D space. It does not define the shape of the points. Points are also drawn as quads, so they're always going to be a square, though they don't have to appear that way.
Your first option is to (as you pointed out) load a texture for each point. I don't really see how this would introduce "a lot" of overhead, because the texture would only be loaded once, and would be applied to all points. But, I'm sure you have your reasons.
Your other option is to create your own shader to draw the point as a circle. This method takes the point as a square, and discards any fragments (multiple fragments make up a pixel) outside the circle.

Using three.js, how would you project a globe world to a map on the screen?

I am curious about the limits of three.js. The following question is asked mainly as a challenge, not because I actually need the specific knowledge/code right away.
Say you have a game/simulation world model around a sphere geometry representing a planet, like the worlds of the game Populous. The resolution of polygons and textures is sufficient to look smooth when the globe fills the view of an ordinary camera. There are animated macroscopic objects on the surface.
The challenge is to project everything from the model to a global map projection on the screen in real time. The choice of projection is yours, but it must be seamless/continuous, and it must be possible for the user to rotate it, placing any point on the planet surface in the center of the screen. (It is not an option to maintain an alternative model of the world only for visualization.)
There are no limits on the number of cameras etc. allowed, but the performance must be expected to be "realtime", say two-figured FPS or more.
I don't expect ayn proof in the form of a running application (although that would be cool), but some explanation as to how it could be done.
My own initial idea is to place a lot of cameras, in fact one for every pixel in the map projection, around the globe, within a Group object that is attached to some kind of orbit controls (with rotation only), but I expect the number of object culling operations to become a huge performance issue. I am sure there must exist more elegant (and faster) solutions. :-)
why not just use a spherical camera-model (think a 360° camera) and virtually put it in the center of the sphere? So this camera would (if it were physically possible) be wrapped all around the sphere, looking toward the center from all directions.
This camera could be implemented in shaders (instead of the regular projection-matrix) and would produce an equirectangular image of the planet-surface (or in fact any other projection you want, like spherical mercator-projection).
As far as I can tell the vertex-shader can implement any projection you want and it doesn't need to represent a camera that is physically possible. It just needs to produce consistent clip-space coordinates for all vertices. Fragment-Shaders for lighting would still need to operate on the original coordinates, normals etc. but that should be achievable. So the vertex-shader would just need compute (x,y,z) => (phi,theta,r) and go on with that.
Occlusion-culling would need to be disabled, but iirc three.js doesn't do that anyway.

how do I get a projection matrix I can use for a pointlight shadow map?

I'm currently working on a project that uses shadowtextures to render shadows.
It was pretty easy for spotlights, since only 1 texture in the direction of the spotlight is needed, but its a little more difficult since it needs either 6 textures in all directions or 1 texture that somehow renders all the obects around the pointlight.
And thats where my problem is. How can I generate a Projection matrix that somehow renders all the object in a 360 angle around the pointlight?
Basicly how do create a fisheye (or any other 360 degree camera) vertex shader?
How can I generate a Projection matrix that somehow renders all the object in a 360 angle around the pointlight?
You can't. A 4x4 projection matrix in homogenous space cannot represent any operation which would result in bending the edges of polygons. A straight line stays a straight line.
Basicly how do create a fisheye (or any other 360 degree camera) vertex shader?
You can't do that either, at least not in the general case. And this is not a limit of the projection matrix in use, but a general limit of the rasterizer. You could of course put the formula for fisheye distortion into the vertex shader. But the rasterizer will still rasterize each triangle with straight edges, you just distort the position of the corner points of each triangle. This means that it will only be correct for tiny triangles covering a single pixel. For larger triangles, you completely screw up the image. If you have stuff like T-joints, this even results in holes or overlaps in objects which actually should be perfectly closed.
It was pretty easy for spotlights, since only 1 texture in the direction of the spotlight is needed, but its a little more difficult since it needs either 6 textures in all directions or 1 texture that somehow renders all the obects around the pointlight.
The correct solution for this would be using a single cube map texture, with provides 6 faces. In a perfect cube, each face can then be rendered by a standard symmetric perspective projection with a field of view of 90 degrees both horizontally and vertically.
In modern OpenGL, you can use layered rendering. In that case, you attach each of the 6 faces of the cube map as a single layer to an FBO, and you can use the geometry shader to amplify your geomerty 6 times, and transform it according to the 6 different projection matrices, so that you still only need one render pass for the complete shadow map.
There are some other vendor-specific extensions which might be used to further optimize the cube map rendering, like Nvidia's NV_viewport_swizzle (available on Maxwell and newer GPUs), but I only mention this for completness.

Bump map sprite casting shadows on itself

I've got a fairly simple implementation of normal map lighting working for 2D sprites in webgl (GLSL shaders) which I was able to adapt & optimize from an example. It uses just one directional light and works fine for my purposes. Sprites are rendered flat (2D), only the light direction and normals are 3D vectors. Vertex rotation only happens around the z axis, so it's fairly easy-peasy.
I was hoping to add a bump (height) map to cast shadows. There are 3D bump map shadow casting examples and papers available online, but they're more complex than I need and the math goes over my head; I haven't found an example or explanation of how one might do a simple 2D case.
My first inclination is as follows: for the current pixel in the fragment shader, trace back along the direction of the light and check the altitude of the neighbouring bump map pixel. If it's higher than the light direction vector at that point, then that pixel is in the shade. However since "tall" pixels on the bump map may cast shadow across > 1 pixel distance, I'd have to keep testing pixel by pixel in that direction until I find one tall enough to cast a shadow (or reach the edge of the texture, or reach some arbitrary limit.)
This doesn't sound very optimal, especially for larger textures. I've read that if statements in shaders aren't so fast. Is there a faster/better method?
What you are looking for is called parallax (occlusion) mapping.
It's a technique that does exactly what you described, and it can be understood as on-bumpmap ray tracing in tangent space.
Here are some articles:
nVidia - Per-Pixel displacement (w/ sphere tracing)
nVidia - Cone Tracing for PM
AMD - POM
The ways to optimize search are similar to ordinary raytracing and include: sphere tracing, cone tracing, binary search and similar, instead of constant stepping function.
P. S. If you know the name of some rendering technique, it's generally good idea to Google it adding 'nVidia', 'crytek' or 'gpu' in front of the name, it will show you much more relevant results.
Hope this helps.

3D view frustum culling, ray casting

I need additional theory on view frustum culling to better understand how to implement it. I understand that ray casting is involved in order to figure out what objects are in front, thus figuring out which objects not to render.
I am concerned about CPU usage. From what I understand, I should be casting out rays by my camera's width * height, and maybe increase the amount of rays depending how far the camera sees. Additionally, I would have to multiply that by the amount of object in the scene to verify which is closest to the ray.
Is my understanding of this concept accurate? How exactly could I do this more efficiently?
edit:
The goal is to achieve some type of voxel engine where the world can be sub-divided-up using an oct-tree. It could consist of hundreds of thousands of cubes.
I don't think view frustum culling involves ray casting usually.
Normally you'd just z-transform all your geometry and then clip any polygons whose vertices fall outside of the viewport, or whose z value is greater or less than the near/far clipping planes.
Ray casting would be a lot more expensive, as you are essentially testing each pixel in the viewport to see if there's a polygon behind it, which is potentially NUMBER_OF_PIXELS * NUMBER_OF_POLYGONS math operations, instead of just NUMBER_OF_POLYGONS.
EDIT:
Oh, I see: You're trying to create a voxel-space world like Minecraft. That's a bit different.
The trick there is to make use of the fact that you know the world is a grid to avoid doing calculations for geometry that is occluded by cubes that are closer to the camera.
I'm still not sure that ray casting is the best approach for this - I suspect you want something like an oct-tree structure that lets you discard large groups of blocks quickly, but I'll let somebody with more experience of building such things weigh in ;-)
EDIT 2:
Looks like somebody else on StackOverflow had the same problem (and they used octrees): Culling techniques for rendering lots of cubes

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