Abstract: Aiming at the problems of Roberts operator being easy to miss detection pixels and sensitive
to noise, an improved edge detection algorithm GRA-Roberts is proposed. By improving the Roberts
operator, the precision and the anti-noise performance is enhanced. Combined with the grey relational
analysis, referring to the improved Roberts operator, the image edge is detected based on the grey
relational grade. The experiment results show that GRA-Roberts can not only get over the above
drawbacks of the Roberts operator algorithm effectively, but also get better detection effects compared
to other related grey relational algorithms.

Key words: Roberts operator, grey relational analysis, anti-noise, edge detection