If we couple the local scale and integration scale by a relative integration scale , such that  then for any fixed value of , we obtain a reduced self-similar one-parameter variation, which is frequently used to simplify computational algorithms, for example in corner detection, interest point detection, texture analysis and image matching.
By combining local scale and integration scale using a relative integration scale, we obtain a simplified one-parameter variation that is frequently employed in computational algorithms, such as corner detection, interest point detection, texture analysis, and image matching.