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For the purpose of DBSCAN clustering, the points are classified as core points, (directly-) reachable points and outliers, as follows: A point p is a core point if at least minPts points are within distance ε of it (including p). A point q is directly reachable from p if point q is within distance ε from core point p. Points are only said to ...
English: Illustration of en:DBSCAN cluster analysis (minPts=3). Points around A are core points. Points B and C are not core points, but are density-connected via the cluster of A (and thus belong to this cluster). Point N is Noise, since it is neither a core point nor reachable from a core point.
A point p is a core point if at least MinPts points are found within its ε-neighborhood () (including point p itself). In contrast to DBSCAN , OPTICS also considers points that are part of a more densely packed cluster, so each point is assigned a core distance that describes the distance to the MinPts th closest point:
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A cluster in DBSCAN is only guaranteed to consists of at least 1 core point. Since border points that belong to more than 1 cluster will be "randomly" (usually: first-come) assigned to one of the clusters, a core point may not be able to retain/get all its neighbors. Thus, it may be smaller than minPts. One dimensional example: minPts=4, epsilon=1:
In the plane (d = 2), if there are b vertices on the convex hull, then any triangulation of the points has at most 2n – 2 – b triangles, plus one exterior face (see Euler characteristic). If points are distributed according to a Poisson process in the plane with constant intensity, then each vertex has on average six surrounding triangles.
urban street sport involving climbing and leaping, using buildings, walls, curbs to ricochet off much as if one were on a skateboard, often in follow-the-leader style. Originally a phonetic form of the French word parcours, which means "a run, a route" Also known as, or the predecessor to, "free running", developed by Sébastien Foucan. parole
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