In image processing, a Gaussian blur is the result of blurring an image by a Gaussian function.
A halftone print rendered smooth through Gaussian blur
In photography, bokeh is the aesthetic quality of the blur produced in out-of-focus parts of an image, whether foreground or background or both. It is created by using a wide aperture lens.
Gaussian blur
…effect of this blurring technique is a smooth blur resembling that of viewing the image through a translucent screen, distinctly different from the bokeh effect produced by an out-of-focus lens or the shadow of an object under usual illumination. Gaussian smoothing is also used as a pre-processing stage…
Coarse bokeh on a photo shot with an 85 mm lens and 70 mm entrance pupil diameter, which corresponds to f/1.2
An example of a portrait photo (of Katherine Maher). Note the 'swirly' bokeh.
How the bokeh varies with the aperture
An extremely shallow depth of field, a common effect in macrophotography, emphasizes bokeh.