Back facing polygons in opengl - opengl

In OpenGL you can draw only back-facing polygons, only front facing polygons or both. If you render a manifold triangle mesh, then clear the frame-buffer but not the depth buffer, then again render only the back facing polygons. What do expect to see?
I think the following answer given to me is wrong:
You should see the back facing
triangles. The first render pass will
result in the depth buffer having the
depth values of the triangles that are
front facing. The second render pass
you are rendering the back facing
triangles, hence those that have the
greatest depth value. Every triangle
that is rasterized will have its depth
value compared to the current depth
value for that pixel. Since the depth
buffer is set to all the closest depth
values (small values) but is
discriminating on the farthest depth
values (large values) the back facing
triangles will be rendered."
But I think the answer is:
Since the depth buffer is not cleared, and still contains the depth values of the front facing triangles, it would throw out the back facing triangles, and display nothing.
Which answer is correct?

It depends! Assuming the mesh is of an object that is a 2-dimensional manifold (i.e. topologically equivalent to a plane over sufficiently small areas around any point on the surface) and the first pass renders front- and back-facing triangles or just front-facing ones, and the depth function is GL_LESS or GL_LEQUAL then the second paragraph is right, since the front-facing triangles are always in front of the back-facing triangles and hence will always cause the depth test to fail.
Of course, if you use GL_GREATER or GL_GEQUAL as your depth function, the reverse is true so the first paragraph is correct.

I think the second paragraph is false.
Imagine a Moebius band which is a closed manifold. You can see clearly some back facing triangles (in white, front facing are in black) that are closer to the eye. In the second pass they will pass the depth test and be rendered:

Related

In OpenGL, is it possible to draw the edges of the unoccluded triangles only?

I have a mesh to render with OpenGL. What I want is to render its edges, but only the ones of the un-occluded faces. However, I realize that this is not possible with only:
glEnable(GL_DEPTH_TEST); // Enable depth test
glDepthFunc(GL_LEQUAL); // Accept fragment if it closer to the camera than the former one
glPolygonMode(GL_FRONT_AND_BACK, GL_LINE);
since there is no depth information in-between the edges, so the edges of the occluded triangles are still rendered.
A work around is to draw the triangles with GL_FILL first in background color (in my case, white), and then draw the edges separately. But doing so results in artifacts similar to the z-fighting phenomenon, i.e., some edges seem thinner than others or even vanish, as shown below
On the left is what I have, and on the right is what I desire (viewed in MeshLab). Since depth test of triangles seems to be unavoidable in this case, I guess I am also asking:
How can I draw edges over triangles without the z-fighting artifacts?
Note that face culling is not useful, as it only eliminates faces facing backward, but cannot deal with occlusion.
Set a polygon offset for the first pass with glPolygonOffset:
glEnable(GL_POLYGON_OFFSET_FILL);
glPolygonOffset(1, 1);
Disable the polygon offset for the 2nd pass:
glDisable(GL_POLYGON_OFFSET_FILL);
Polygon fill offset manipulates the depth of a fragment by a minimum amount. This results in the depth of the fragments in the first pass being a small amount greater than the depth of the same fragments in the second pass. This is how you get rid of the deep conflict.

GL_TRIANGLE_STRIP and transparency problems

I want to draw transparent polygon(a pyramid for example). Some faces appear transparent where as some faces appear opaque.
Im drawing using GL_TRIANGLE_STRIP.
I have enabled blend mode, but no luck.
Please see the attached image,
This happens because of the draw order of the triangles. Some triangles get drawn first, these write their depth values to the depth texture, then the next triangle comes along and checks if there's something in front of it. If there is, then it won't render.
If a triangle that is at the back renders first, then there's no problem, the triangle in front of it looks at the depth texture, sees that it has a greater z value so it gets correctly rendered, these are the places where the color is less transparent.
The problem arises when the triangle at the front renders first. It writes it's depth value to the depth buffer, then the triangle in the back comes along, sees that there's already something in front of it, so it doesn't get rendered.
You have multiple ways to solve this, you can disable depth testing, sort the triangles so they come in order or use an algorithm like depth peeling. Each of these algorithms have side effects or are simply very complex, this is why you don't see too much transparency in games.

How to avoid glitches on superposed objects with openGL?

I would like, for example, to stack two cubes A and B.
The matter is that the top face of A is at the exact same position of B's bottom face.
This render some visual glitches as you can see :
Note that the pink grid can sometime be seen through any cube at some angle as well (not expected).
Is there any way to fix this without offsetting all my objects ?
This is called Depth Fighting or Z-Fighting and is caused, that after projection the depth values are subjected to rounding and when depth testing happens the winner of the depth test depends on the rounding of the depth values of the participating fragments.
Is there any way to fix this without offsetting all my objects ?
Yes, there are some techniques using the stencil buffer, with the caveat, that it works only for convex geometry. First you render your overlapping objects with depth testing and depth writes, but without color writes, setting a stencil mask. Next iteration you enable back face culling and draw with depth test disable, stencil test enabled (pass on the used stencil value) and color writes enabled. Within the region of the stencil mask things will overdraw according to the Painter's algorithm (i.e. the layers are in order as they're drawn).

Reverse triangle lookup from affected pixels?

Assume I have a 3D triangle mesh, and a OpenGL framebuffer to which I can render the mesh.
For each rendered pixel, I need to build a list of triangles that rendered to that pixel, even those that are occluded.
The only way I could think of doing this is to individually render each triangle from the mesh, then go through each pixel in the framebuffer to determine if it was affected by the triangle (using the depth buffer or a user-defined fragment shader output variable). I would then have to clear the framebuffer and do the same for the next triangle.
Is there a more efficient way to do this?
I considered, for each fragment in the fragment shader, writing out a triangle identifier, but GLSL doesn't allow outputting a list of integers.
For each rendered pixel, I need to build a list of triangles that rendered to that pixel, even those that are occluded.
You will not be able to do it for entire scene. There's no structure that allow you to associate "list" with every pixel.
You can get list of primitives that affected certain area using select buffer (see glRenderMode(GL_SELECT)).
You can get scene depth complexity using stencil buffer techniques.
If there are 8 triangles total, then you can get list of triangles that effected every pixel using stencil buffer (basically, assign unique (1 << n) stencil value to each triangle, and OR it with existing stencil buffer value for every stencil OP).
But to solve it in generic case, you'll need your own rasterizer and LOTS of memory to store per-pixel triangle lists. The problem is quite similar to multi-layered depth buffer, after all.
Is there a more efficient way to do this?
Actually, yes, but it is not hardware accelerated and OpenGL has nothing to do it. Store all rasterized triangles in OCT-tree. Launch a "ray" through that OCT-tree for every pixel you want to test, and count triangles this ray hits. That's collision detection problem.

Opengl Depth buffer and Culling

Whats's the difference between use back face culling and a buffer of depth in OpenGL?
Backface culling is when OpenGL determines which faces are facing away from the viewer and are therefore unseen. Think of a cube. No matter how your rotate the cube, 3 faces will always be invisible. Figure out which faces these are, remove them from the list of polygons to be drawn and you just halved your drawing list.
Depth buffering is fairly simple. For every pixel of every polygon drawn, compare it's z value to the z buffer. if it's less than the value in the z buffer set the z buffer value as the new z buffer value. If not, discard the pixel. Depth buffering gives very good results but can be fairly slow as each and every pixel requires a value lookup.
In reality there is nothing similar between these two methods and they are often both used. Given a cube you can first cut out half the polygons using culling then draw them using z buffering.
Culling can cut down on the polygons rendered, but it's not a sorting algorithm. That's what Z buffering is.
A given triangle has two sides, the front face and the back face. The side you are looking at is determined by the order the points appear in the vertex list (also called the winding). Typically lists of triangles have alternating winding so that you can reuse the preceding two points but the facing of a given triangle in the strip doesn't alternate. Back face culling is the optimization step where in triangles in the scene which are oriented away from the view are removed from the list of triangles to draw.
A depth buffer (z-buffer) is used to hang onto the closest thing (the depth is relative to the view) that has already been rendered. If the thing that comes up next in the draw list is behind something that I've drawn already (ie, it has a depth that places it farther away) I can skip drawing it, as it is obstructed. If the new thing to draw is closer, I draw it and I update the depth buffer with the new, closer value.