Is there a faked antialiasing algorithm using the depth buffer?

Lately I implemented the FXAA algorithm into my OpenGL application. I haven't understand this algorithm completely by now but I know that it uses contrast data of the final image to selectively apply blurring. As a post processing effect that makes sense. B since I use deferred shading in my application I already have a depth texture of the scene. Using that it might be much easier and more precise to find edges for applying blur there.

So is there a known antialiasing algorithm using the depth texture instead of the final image to find the edges? By fakes I mean an antialiasing algorithm based on a pixel basis instead of a vertex basis.

After some research I found out that my idea is widely used already in deferred renderers. I decided to post this answer because I came up with my own implementation which I want to share with the community.

Based on the gradient changes of the depth and the angle changes of the normals, there is blurring applied to the pixel.

// GLSL fragment shader

#version 330

in vec2 coord;
out vec4 image;

uniform sampler2D image_tex;
uniform sampler2D position_tex;
uniform sampler2D normal_tex;
uniform vec2 frameBufSize;

void depth(out float value, in vec2 offset)
{
    value = texture2D(position_tex, coord + offset / frameBufSize).z / 1000.0f;
}

void normal(out vec3 value, in vec2 offset)
{
    value = texture2D(normal_tex, coord + offset / frameBufSize).xyz;
}

void main()
{
    // depth

    float dc, dn, ds, de, dw;
    depth(dc, vec2( 0,  0));
    depth(dn, vec2( 0, +1));
    depth(ds, vec2( 0, -1));
    depth(de, vec2(+1,  0));
    depth(dw, vec2(-1,  0));

    float dvertical   = abs(dc - ((dn + ds) / 2));
    float dhorizontal = abs(dc - ((de + dw) / 2));
    float damount = 1000 * (dvertical + dhorizontal);

    // normals

    vec3 nc, nn, ns, ne, nw;
    normal(nc, vec2( 0,  0));
    normal(nn, vec2( 0, +1));
    normal(ns, vec2( 0, -1));
    normal(ne, vec2(+1,  0));
    normal(nw, vec2(-1,  0));

    float nvertical   = dot(vec3(1), abs(nc - ((nn + ns) / 2.0)));
    float nhorizontal = dot(vec3(1), abs(nc - ((ne + nw) / 2.0)));
    float namount = 50 * (nvertical + nhorizontal);

    // blur

    const int radius = 1;
    vec3 blur = vec3(0);
    int n = 0;
    for(float u = -radius; u <= +radius; ++u)
    for(float v = -radius; v <= +radius; ++v)
    {
        blur += texture2D(image_tex, coord + vec2(u, v) / frameBufSize).rgb;
        n++;
    }
    blur /= n;

    // result

    float amount = mix(damount, namount, 0.5);
    vec3 color = texture2D(image_tex, coord).rgb;
    image = vec4(mix(color, blur, min(amount, 0.75)), 1.0);
}

For comparison, this is the scene without any anti-aliasing.

This is the result with anti-aliasing applied.

You may need to view the images at their full resolution to judge the effect. In my view the result is adequate for the simple implementation. The best thing is that there are nearly no jagged artifacts when the camera moves.