Computation of the 3D \(\alpha\)-shape
Implementation in R of the \(\alpha\)-shape of a finite set of points in the three-dimensional space. The \(\alpha\)-shape generalizes the convex hull and allows to recover the shape of non-convex and even non-connected sets in 3D, given a random sample of points taken into it. Besides the computation of the \(\alpha\)-shape, this package provides users with functions to compute the volume of the \(\alpha\)-shape, identify the connected components and facilitate the three-dimensional graphical visualization of the estimated set.
Edelsbrunner, H., Mucke, E. P. (1994). Three-Dimensional Alpha Shapes. ACM Transactions on Graphics, 13(1), pp.43-72.