# [Shader Library] Gaussian Blur Post Processing Filter in GLSL

*A cute nurse half blurred in GeeXLab*

Gaussian blur is a filter widely used in computer graphics. In real time 3D, Gaussian blur is used in many effects like

**depth of field**or

**bloom**.

*Depth of field effect uses Gaussian blur filter*

Many years ago, I wrote a tutorial about image filtering with GLSL where I gave an example of Gaussian filter. Few days ago, Daniel Rakos wrote a detailed article about an efficient Gaussian blur with linear sampling.

Since I’m always looking for new effects and shaders for GeeXlab, I decided to implement Daniel’s work in a GeeXLab demo.

Basically, the gaussian blur filter works with two passes: one vertical and the other horizontal. Why two passes? Wikipedia gives us the answer:

A Gaussian blur effect is typically generated by convolving an image with a kernel of Gaussian values. In practice, it is best to take advantage of the Gaussian Blur’s linearly separable property by dividing the process into two passes. In the first pass, a one-dimensional kernel is used to blur the image in only the horizontal or vertical direction. In the second pass, another one-dimensional kernel is used to blur in the remaining direction. The resulting effect is the same as convolving with a two-dimensional kernel in a single pass, but requires fewer calculations.

Here is the complete vertical gaussian filter used in the demo (you can download the demo at the end of the post):

[Vertex_Shader] void main(void) { gl_Position = ftransform(); gl_TexCoord[0] = gl_MultiTexCoord0; } [Pixel_Shader] uniform sampler2D sceneTex; // 0 uniform float rt_w; // render target width uniform float rt_h; // render target height uniform float vx_offset; float offset[3] = float[]( 0.0, 1.3846153846, 3.2307692308 ); float weight[3] = float[]( 0.2270270270, 0.3162162162, 0.0702702703 ); void main() { vec3 tc = vec3(1.0, 0.0, 0.0); if (gl_TexCoord[0].x<(vx_offset-0.01)) { vec2 uv = gl_TexCoord[0].xy; tc = texture2D(sceneTex, uv).rgb * weight[0]; for (int i=1; i<3; i++) { tc += texture2D(sceneTex, uv + vec2(0.0, offset[i])/rt_h).rgb \ * weight[i]; tc += texture2D(sceneTex, uv - vec2(0.0, offset[i])/rt_h).rgb \ * weight[i]; } } else if (gl_TexCoord[0].x>=(vx_offset+0.01)) { tc = texture2D(sceneTex, gl_TexCoord[0].xy).rgb; } gl_FragColor = vec4(tc, 1.0); }

And here is the complete horizontal gaussian filter used in the demo:

[Vertex_Shader] void main(void) { gl_Position = ftransform(); gl_TexCoord[0] = gl_MultiTexCoord0; } [Pixel_Shader] uniform sampler2D sceneTex; // 0 uniform float rt_w; // render target width uniform float rt_h; // render target height uniform float vx_offset; float offset[3] = float[]( 0.0, 1.3846153846, 3.2307692308 ); float weight[3] = float[]( 0.2270270270, 0.3162162162, 0.0702702703 ); void main() { vec3 tc = vec3(1.0, 0.0, 0.0); if (gl_TexCoord[0].x<(vx_offset-0.01)) { vec2 uv = gl_TexCoord[0].xy; tc = texture2D(sceneTex, uv).rgb * weight[0]; for (int i=1; i<3; i++) { tc += texture2D(sceneTex, uv + vec2(offset[i])/rt_w, 0.0).rgb \ * weight[i]; tc += texture2D(sceneTex, uv - vec2(offset[i])/rt_w, 0.0).rgb \ * weight[i]; } } else if (gl_TexCoord[0].x>=(vx_offset+0.01)) { tc = texture2D(sceneTex, gl_TexCoord[0].xy).rgb; } gl_FragColor = vec4(tc, 1.0); }

The *vx_offset* uniform allows to control the X position of the vertical red line:

*vx_offset = 0.71*

*vx_offset = 0.12*

The

*vx_offset*is controled by the tweak bar and the value is divided by 100: 71 gives 0.71.

**And what about the background image???**

Just visit this page: KusoPOP Nurse by *VampBeauty or this one: vampbeauty.com

With that kind of image, post FX coding is a real pleasure…

## DOWNLOAD

*Left-click to download (right-click disabled)*

### *** You need GeeXLab 0.2.4 or higher to run this demo. ***

Unzip the demo somewhere, start GeeXLab and drop in the main window the demo source code (*GaussianBlur_Effect_Demo.xml*). Gaussian blur shaders are localized in the PostFX_GaussianBlur_Lib.xml file. The shortcut [Ctrl+R] in GeeXLab allows to reload the demo once you have modified the source code.

Enjoy!

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*looks at shots* ummm such a nice advertising posters. I like this tool now we all must have it )))

The math fact is that some convolution kernel are separable : If a square matrix could be obtained from a row and a col vector, the matrix is separable.

Here the explanation :

http://blogs.mathworks.com/steve/2006/10/04/separable-convolution/

Thanks for the separable convolution link. The explanation is simple and clear.

Nice post and nice image

I’m glad to see that my work inspired you to write the demo and article!

Nice to have this in the collection! Since your post, Daniel’s fixed his code’s weights a bit so that they sum to one. I’d recommend fixing your weights to match his.

Thanks Eric, updated!

[…] know were discussed by this article by Daniel Rákos in his article, and also coded up by JeGX in a GLSL shader demo collection. First, I hadn’t thought of using the Pascal’s triangle […]

ulala that girl is HaWT, any hd pic of that? hehe

You could make tc a vec4 and change all the

“texture2D(sceneTex, ).rgb” to

“texture2D(sceneTex, )” and

“gl_FragColor = vec4(tc, 1.0);”

to

“gl_FragColor = vec4(tc);”

and the alpha value is blended as well!

nice boobs

I see a picture of Linda Le(Vampy bit Me) there. Nice.