Emulating a Gaussian style blur is a popular technique often used in web development, as explained in the documentation:
When the quality property is set to high, it approximates a Gaussian
blur filter
This optimized version of a Gaussian filter/Weierstrass transform is particularly efficient when using power of 2 x/y offsets, allowing for real-time application to video. While the exact result may not be achieved in non-Flash apps, the outcome is remarkably close and imperceptible to most observers.
Various methods exist for implementing a Gaussian blur in html/css/javascript. These include techniques involving CSS drop-shadow effects, HTML5 Canvas manipulation with custom filters, javascript processing of bitmap via byte arrays, amongst others. Each method has its own limitations and benefits, which can be discovered through online research to explore different approaches developed by the community.
I personally utilized an implementation by Mario Klingemann for a quick HTML5 project:
Mario Klingemann has created a fast implementation of an “almost
gaussian blur algorithm” in JavaScript.
I conducted my comparison using the following images and found that StackBlur produced results similar enough to Flash's BlurFilter for me to use it in my project (although slightly darker, potentially due to omitting some normalization steps for speed):
My Air version; quality set to HIGH and x/y filter offset set to 10:
https://i.sstatic.net/kfhkV.png
Here is StackBlur set to a radius of 10:
https://i.sstatic.net/8olzs.png
Here is the original bitmap:
https://i.sstatic.net/hoTIE.png