EBSD-Image

Automatic standard deviation

The Automatic standard deviation operation is to detect the peaks in the Hough transform using the intensity distribution. First the average \mu and the standard deviation \sigma of all the pixels in the Hough transform are calculated. Then, the pixels which are above the average by a certain amount of times the standard deviation are selected as being the Hough peaks. In other words, the pixels above \mu + f\sigma are detected as peaks, where f is the sigma factor.

../../../../../_images/auto_stddev.png

Hough map with peaks detected with f = 1 in red, f = 2 in green and f == 5 in blue

Parameters

The user must specify the sigma factor. Typical factor could be between 1 and 3. Of course, higher the sigma factor higher is the confidence that the selected pixels are Hough peaks. However, if the sigma factor is too high, no peaks will be detected.