In the effort of clearing angular redundancy, hard sampling tends to mis-cluster, i.e., some points on the stings are missed out and become self-contained clusters, so that they would stay alive after the sting removal.
The problem is the sting-thread points and the non-sting-thread point (real edge) have different angular spacing. So that an overly refined hard sampling could cut into a theoretical angular group and split the edge and the sting, yet we want them to stay together so that we can measure the sting against the edge in the same group. If the sting is missed out, then there will be nothing to remove.
The problem is the sting-thread points and the non-sting-thread point (real edge) have different angular spacing. So that an overly refined hard sampling could cut into a theoretical angular group and split the edge and the sting, yet we want them to stay together so that we can measure the sting against the edge in the same group. If the sting is missed out, then there will be nothing to remove.

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