Pointsthe
Pointsthe is a term used in computational geometry and data analysis to denote a scalar value assigned to each point in a finite set, intended to summarize local geometric information. The concept combines aspects of local density and directional structure to produce a per-point feature that can be used in machine learning, clustering, and shape analysis.
For a finite point set P in Euclidean space, and a chosen parameter k, let N_k(p) denote
A typical workflow to compute pointsthe values is: (1) build a k-nearest-neighbors structure for P; (2) for
Pointsthe values are designed to be shift-invariant and, with normalization, scale-aware. They tend to be high
Point cloud, density estimation, k-nearest neighbors, local intrinsic dimensionality.