Before revision:  In this paper, we present an approach to take the shape of the geometry into account when weighting its neighborhoods. This makes the obtained neighborhoods  more reliable in the sense that connectivity also depends on the orientation of the point set.
After revision:  In this paper, we present an approach to take the shape of the geometry , i.e. the normal information, into account. This causes the obtained neighborhoods more reliable in the sense that connectivity also depends on the orientation of the point set.