The 'Canny' method uses two thresholds.
For example, if the threshold is [0.1 0.15] then the edge pixels above the upper limit(0.15) are considered and edge pixels below the threshold(0.1) are discarded.
Now, you may have a question "what about the pixels in between upper and lower threshold"?
They are considered only if they are connected to pixels in the upper threshold. Thus we get a clean edge.
For more details, refer to input arguments section of below link.