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In DBSCAN:

  • A core point is a point which has at least "MinPts" points inside its Epsilon radius.
  • A border point is a point inside the Epsilon radius of a core point, but it has a number of points inside its own Epsilon radius inferior to "MinPts" so it isn't a core point.
  • A noise point is a point which is neither a core point, nor a border point.

Given these definitions, I conclude that the distance between a Noise Point and Border Point can be less than Epsilon: a noise point could be a noise point because it is inside the Epsilon radius of a border point, but it doesn't have enough neighbors and at the same time it's not in the neighborhood of a core point.

Is this reasoning correct?

Thank you!

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Yes you are correct.

I just gave an example check this image enter image description here

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  • $\begingroup$ Thanks! Waiting for more reply to confirm this, but as I thought that's correct. $\endgroup$
    – SuperFluo
    Jan 11, 2023 at 22:16

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