Render a vectorfield with Point Sprites in OpenGL - opengl

I'd like to render a vectorfield visualization with OpenGL. Right now, I have a 3D cube filled with points which I need to replace with arrows. I've read a lot about Point Sprites in OpenGL and they seem to fit my needs pretty good.
I haven't really worked with textures yet, so there are some questions regarding the use of them together with Point Sprites:
First of all, is it possible to easily replace my points with arrows by just using a texture? If so, is it possible to rotate or scale those point sprites by an arbitrary degree using shaders?
If there are other possibilites than point sprites for achieving this, it would also be great to hear about them. I'm using OpenGL 4.2.

Point sprites are always screen-aligned squares. And they have an implementation-dependent maximum size.
If you need to do something like this, you should use a Geometry Shader that takes points as inputs, and outputs a quad (as 4 vertices of a triangle strip). Then you can do whatever you want.
Note that you should try to pass as little information as you can get away with out of the GS. Ideally, for maximum performance, you should only output to gl_Position and to a vec2 indicating where in the quad a particular location is.

is it possible to ... scale those point sprites by an arbitrary degree using shaders?
No, point sprites have an implementation-defined upper limit on size.

Related

Is there a way to implement something like marching squares on a grid drawn with triangle strips?

I am currently drawing a grid using a series of triangle strips. I am using this to render a height field, and generating the vertex data completely in the vertex shader without any input buffers just using the vertex and instance indexes. This is all working fine and is very efficient.
However, I now find myself also needing to implement border lines on this grid. The obvious solution here would be something like marching squares. Basically, what I want to achieve is something like this:
The black dots represent the vertices in the grid that are part of some set, and I want to shade the area inside the red line differently than that outside it.
Naïvely, this seems like it would be easy: Add a value to the vertices that is 1 for vertices in the set and 0 for those outside it, and render differently depending on if the interpolated value is above or below 0.5, for instance.
However, because this is rendered as a triangle strip, this does not quite work. In pracitce, since this is rendered as a triangle strip, this ends up looking like this:
So, half the edges work and half end up with ugly square staircases.
I've now been trying to wrack my brain for days whether there is some trick that could be used to generate the vertex values differently or making a more complicated test than >0.5 to get closer to the intended shape without giving up on the nice and simple triangle strips and having to actually generate geometry ahead of time, but I can not think of one.
Has anyone ever dealt with a similar problem? Is there some clever solution I am missing?
I am doing this in Metal, but I don't expect this to depend much on the specific API used.
It sounds like you're trying to calculate the colors in the fragment shader independently of the mesh underneath. If so, you should decouple the color calculation from the mesh.
Assuming your occupancy is stored in a texture, use textureGather to get the four nearby occupancy values; determine the equation of the boundary; then use the fractional part of the texture coordinates to determine its position relative to the boundary. (The devil here is in the details -- in particularly the ambiguous checker-board pattern case.)
Once you implement the above approach, it's very likely you won't even need the triangle strip mesh anymore -- simply fill your entire drawing area with a single large quad and let the fragment shader to do the rest.

How to draw a sphere in D3D11, given position and radius?

To draw a sphere, one does not need to know anything else but it's position and radius. Thus, rendering a sphere by passing a triangle mesh sounds very inefficient unless you need per-vertex colors or other such features. Despite googling, searching D3D11 documentation and reading Introduction to 3D Programming with DirectX 11, I failed to understand
Is it possible to draw a sphere by passing only the position and radius of it to the GPU?
If not, what is the main principle I have misunderstood?
If yes, how to do it?
My ultimate goal is to pass more parameters later on which will be used by a shader effect.
You will need to implement Geometry Shader. This shader should take Sphere center and radius as input and emit a banch of vertices for rasterization. In general this is called point sprites.
One option would be to use tessellation.
https://en.wikipedia.org/wiki/Tessellation_(computer_graphics)
Most of the mess will be generated on the gpu side.
Note:
In the end you still have more parameters sent to the shaders because the sphere will be split into triangles that will be each rendered individually on the screen.
But the split is done on the gpu side.
While you can create a sphere from a point & vertex on the GPU, it's generally not very efficient. With higher-end GPUs you could use Hardware Tessellation, but even that would be better done a different way.
The better solution is to use instancing and render lots of the same VB/IB of sphere geometry scaled to different positions and sizes.

Perfect filled triangle rendering algorithm?

Where can I get an algorithm to render filled triangles? Edit3: I cant use OpenGL for rendering it. I need the per-pixel algorithm for this.
My goal is to render a regular polygon from triangles, so if I use this triangle filling algorithm, the edges from each triangle wouldn't overlap (or make gaps between them), because then it would result into rendering errors if I use for example XOR to render the pixels.
Therefore, the render quality should match to OpenGL rendering, so I should be able to define - for example - a circle with N-vertices, and it would render like a circle with any size correctly; so it doesn't use only integer coordinates to render it like some triangle filling algorithms do.
I would need the ability to control the triangle filling myself: I could add my own logic on how each of the individual pixels would be rendered. So I need the bare code behind the rendering, to have full control on it. It should be efficient enough to draw tens of thousands of triangles without waiting more than a second perhaps. (I'm not sure how fast it can be at best, but I hope it wont take more than 10 seconds).
Preferred language would be C++, but I can convert other languages to my needs.
If there are no free algorithms for this, where can I learn to build one myself, and how hard would that actually be? (me=math noob).
I added OpenGL tag since this is somehow related to it.
Edit2: I tried the algo in here: http://joshbeam.com/articles/triangle_rasterization/ But it seems to be slightly broken, here is a circle with 64 triangles rendered with it:
But if you zoom in, you can see the errors:
Explanation: There is 2 pixels overlapping to the other triangle colors, which should not happen! (or transparency or XOR etc effects will produce bad rendering).
It seems like the errors are more visible on smaller circles. This is not acceptable if I want to have a XOR effect for the pixels.
What can I do to fix these, so it will fill it perfectly without overlapped pixels or gaps?
Edit4: I noticed that rendering very small circles isn't very good. I realised this was because the coordinates were indeed converted to integers. How can I treat the coordinates as floats and make it render the circle precisely and perfectly just like in OpenGL ? Here is example how bad the small circles look like:
Notice how perfect the OpenGL render is! THAT is what I want to achieve, without using OpenGL. NOTE: I dont just want to render perfect circle, but any polygon shape.
There's always the half-space method.
OpenGL uses the GPU to perform this job. This is accelerated in hardware and is called rasterization.
As far as i know the hardware implementation is based on the scan-line algorithm.
This used to be done by creating the outline and then filling in the horizontal lines. See this link for more details - http://joshbeam.com/articles/triangle_rasterization/
Edit: I don't think this will produce the lone pixels you are after, there should be a pixel on every line.
Your problem looks a lot like the problem one has when it comes to triangles sharing the very same edge. What is done by triangles sharing an edge is that one triangle is allowed to conquer the space while the other has to leave it blank.
When doing work with a graphic card usually one gets this behavior by applying a drawing order from left to right while also enabling a z-buffer test or testing if the pixel has ever been drawn. So if a pixel with the very same z-value is already set, changing the pixel is not allowed.
In your example with the circles the line of both neighboring circle segments are not exact. You have to check if the edges are calculated differently and why.
Whenever you draw two different shapes and you see something like that you can either fix your model (so they share all the edge vertexes), go for a z-buffer test or a color test.
You can also minimize the effect by drawing edges using a sub-buffer that has a higher resolution and down-sample it. Since this does not effect the whole area it is more cost effective in terms of space and time when compared to down-sampling the whole scene.

OpenGL, applying texture from image to isosurface

I have a program in which I need to apply a 2-dimensional texture (simple image) to a surface generated using the marching-cubes algorithm. I have access to the geometry and can add texture coordinates with relative ease, but the best way to generate the coordinates is eluding me.
Each point in the volume represents a single unit of data, and each unit of data may have different properties. To simplify things, I'm looking at sorting them into "types" and assigning each type a texture (or portion of a single large texture atlas).
My problem is I have no idea how to generate the appropriate coordinates. I can store the location of the type's texture in the type class and use that, but then seams will be horribly stretched (if two neighboring points use different parts of the atlas). If possible, I'd like to blend the textures on seams, but I'm not sure the best manner to do that. Blending is optional, but I need to texture the vertices in some fashion. It's possible, but undesirable, to split the geometry into parts for each type, or to duplicate vertices for texturing purposes.
I'd like to avoid using shaders if possible, but if necessary I can use a vertex and/or fragment shader to do the texture blending. If I do use shaders, what would be the most efficient way of telling it was texture or portion to sample? It seems like passing the type through a parameter would be the simplest way, but possible slow.
My volumes are relatively small, 8-16 points in each dimension (I'm keeping them smaller to speed up generation, but there are many on-screen at a given time). I briefly considered making the isosurface twice the resolution of the volume, so each point has more vertices (8, in theory), which may simplify texturing. It doesn't seem like that would make blending any easier, though.
To build the surfaces, I'm using the Visualization Library for OpenGL and its marching cubes and volume system. I have the geometry generated fine, just need to figure out how to texture it.
Is there a way to do this efficiently, and if so what? If not, does anyone have an idea of a better way to handle texturing a volume?
Edit: Just to note, the texture isn't simply a gradient of colors. It's actually a texture, usually with patterns. Hence the difficulty in mapping it, a gradient would've been trivial.
Edit 2: To help clarify the problem, I'm going to add some examples. They may just confuse things, so consider everything above definite fact and these just as help if they can.
My geometry is in cubes, always (loaded, generated and saved in cubes). If shape influences possible solutions, that's it.
I need to apply textures, consisting of patterns and/or colors (unique ones depending on the point's "type") to the geometry, in a technique similar to the splatting done for terrain (this isn't terrain, however, so I don't know if the same techniques could be used).
Shaders are a quick and easy solution, although I'd like to avoid them if possible, as I mentioned before. Something usable in a fixed-function pipeline is preferable, mostly for the minor increase in compatibility and development time. Since it's only a minor increase, I will go with shaders and multipass rendering if necessary.
Not sure if any other clarification is necessary, but I'll update the question as needed.
On the texture combination part of the question:
Have you looked into 3d textures? As we're talking marching cubes I should probably immediately say that I'm explicitly not talking about volumetric textures. Instead you stack all your 2d textures into a 3d texture. You then encode each texture coordinate to be the 2d position it would be and the texture it would reference as the third coordinate. It works best if your textures are generally of the type where, logically, to transition from one type of pattern to another you have to go through the intermediaries.
An obvious use example is texture mapping to a simple height map — you might have a snow texture on top, a rocky texture below that, a grassy texture below that and a water texture at the bottom. If a vertex that references the water is next to one that references the snow then it is acceptable for the geometry fill to transition through the rock and grass texture.
An alternative is to do it in multiple passes using additive blending. For each texture, draw every face that uses that texture and draw a fade to transparent extending across any faces that switch from one texture to another.
You'll probably want to prep the depth buffer with a complete draw (with the colour masks all set to reject changes to the colour buffer) then switch to a GL_EQUAL depth test and draw again with writing to the depth buffer disabled. Drawing exactly the same geometry through exactly the same transformation should produce exactly the same depth values irrespective of issues of accuracy and precision. Use glPolygonOffset if you have issues.
On the coordinates part:
Popular and easy mappings are cylindrical, box and spherical. Conceptualise that your shape is bounded by a cylinder, box or sphere with a well defined mapping from surface points to texture locations. Then for each vertex in your shape, start at it and follow the normal out until you strike the bounding geometry. Then grab the texture location that would be at that position on the bounding geometry.
I guess there's a potential problem that normals tend not to be brilliant after marching cubes, but I'll wager you know more about that problem than I do.
This is a hard and interesting problem.
The simplest way is to avoid the issue completely by using 3D texture maps, especially if you just want to add some random surface detail to your isosurface geometry. Perlin noise based procedural textures implemented in a shader work very well for this.
The difficult way is to look into various algorithms for conformal texture mapping (also known as conformal surface parametrization), which aim to produce a mapping between 2D texture space and the surface of the 3D geometry which is in some sense optimal (least distorting). This paper has some good pictures. Be aware that the topology of the geometry is very important; it's easy to generate a conformal mapping to map a texture onto a closed surface like a brain, considerably more complex for higher genus objects where it's necessary to introduce cuts/tears/joins.
You might want to try making a UV Map of a mesh in a tool like Blender to see how they do it. If I understand your problem, you have a 3D field which defines a solid volume as well as a (continuous) color. You've created a mesh from the volume, and now you need to UV-map the mesh to a 2D texture with texels extracted from the continuous color space. In a tool you would define "seams" in the 3D mesh which you could cut apart so that the whole mesh could be laid flat to make a UV map. There may be aliasing in your texture at the seams, so when you render the mesh it will also be discontinuous at those seams (ie a triangle strip can't cross over the seam because it's a discontinuity in the texture).
I don't know any formal methods for flattening the mesh, but you could imagine cutting it along the seams and then treating the whole thing as a spring/constraint system that you drop onto a flat surface. I'm all about solving things the hard way. ;-)
Due to the issues with texturing and some of the constraints I have, I've chosen to write a different algorithm to build the geometry and handle texturing directly in that as it produces surfaces. It's somewhat less smooth than the marching cubes, but allows me to apply the texcoords in a way that works for my project (and is a bit faster).
For anyone interested in texturing marching cubes, or just blending textures, Tommy's answer is a very interesting technique and the links timday posted are excellent resources on flattening meshes for texturing. Thanks to both of them for their answers, hopefully they can be of use to others. :)

OpenGL texturing via vertex alphas, how to avoid following diagonal lines?

http://img136.imageshack.us/img136/3508/texturefailz.png
This is my current program. I know it's terribly ugly, I found two random textures online ('lava' and 'paper') which don't even seem to tile. That's not the problem at the moment.
I'm trying to figure out the first steps of an RPG. This is a top-down screenshot of a 10x10 heightmap (currently set to all 0s, so it's just a plane), and I texture it by making one pass per texture per quad, and each vertex has alpha values for each texture so that they blend with OpenGL.
The problem is that, notice how the textures trend along diagonals, and even though I'm drawing with GL_QUAD, this is presumably because the quads are turned into sets of two triangles and then the alpha values at the corners have more weight along the hypotenuses... But I wasn't expecting that to matter at all. By drawing quads, I was hoping that even though they were split into triangles at some low level, the vertex alphas would cause the texture to radiate in a circular outward gradient from the vertices.
How can I fix this to make it look better? Do I need to scrap this and try a whole different approach? IS there a different approach for something like this? I'd love to hear alternatives as well.
Feel free to ask questions and I'll be here refreshing until I get a valid answer, so I'll comment as fast as I can.
Thanks!!
EDIT:
Here is the kind of thing I'd like to achieve. No I'm obviously not one of the billions of noobs out there "trying to make a MMORPG", I'm using it as an example because it's very much like what I want:
http://img300.imageshack.us/img300/5725/runescapehowdotheytile.png
How do you think this is done? Part of it must be vertex alphas like I'm doing because of the smooth gradients... But maybe they have a list of different triangle configurations within a tile, and each tile stores which configuration it uses? So for example, configuration 1 is a triangle in the topleft and one in the bottomright, 2 is the topright and bottomleft, 3 is a quad on the top and a quad on the bottom, etc? Can you think of any other way I'm missing, or if you've got it all figured out then please share how they do it!
The diagonal artefacts are caused by having all of your quads split into triangles along the same diagonal. You define points [0,1,2,3] for your quad. Each quad is split into triangles [0,1,2] and [1,2,3]. Try drawing with GL_TRIANGLES and alternating your choice of diagonal. There are probably more efficient ways of doing this using GL_TRIANGLE_STRIP or GL_QUAD_STRIP.
i think you are doing it right, but you should increase the resolution of your heightmap a lot to get finer tesselation!
for example look at this heightmap renderer:
mdterrain
it shows the same artifacts at low resolution but gets better if you increase the iterations
I've never done this myself, but I've read several guides (which I can't find right now) and it seems pretty straight-forward and can even be optimized by using shaders.
Create a master texture to control the mixing of 4 sub-textures. Use the r,g,b,a components of the master texture as a percentage mix of each subtextures ( lava, paper, etc, etc). You can easily paint a master texture using paint.net, photostop, gimp and just paint into each color channel. You can compute the resulting texture before hand using all 5 textures OR you can calculate the result on the fly with a fragment shader. I don't have a good example of either, but I think you can figure it out given how far you've come.
The end result will be "pixel" pefect blending (depends on the textures resolution and filtering) and will avoid the vertex blending issues.