|This article does not cite any sources. (December 2013)|
A separable filter in image processing can be written as product of two more simple filters. Typically a 2-dimensional convolution operation is separated into 2 onedimensional filters. This reduces the cost of computing the operator.
1. A twodimensional smoothing filter is separated in this sample:
2. Gaussian blur (smoothing)
3. Sobel operator (edge detection)
This works also for Prewitt operator.