# alphashape3d v1.3

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## Implementation of the 3D Alpha-Shape for the Reconstruction of 3D Sets from a Point Cloud

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.

# alphashape3d

The package alphashape3d presents the implementation in R of the alpha-shape of a finite set of points in the three-dimensional space. This geometric structure 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, the package alphashape3d 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.

To install:

• the latest released version from CRAN: install.packages("alphashape3d")
• the latest development version without vignette: install_github("alphashape3d","tlafarge",build_vignettes = FALSE) (require "devtools")
• the latest development version: install_github("alphashape3d","tlafarge") (require "devtools")

Authors:

• GPL-2

## Functions in alphashape3d

 Name Description plot.ashape3d Plot the $\alpha$-shape in 3D rtorus Generate points in the torus components_ashape3d Connected subsets computation inashape3d Test of the inside of an $\alpha$-shape alphashape3d-package Computation of the 3D $\alpha$-shape ashape3d 3D $\alpha$-shape computation surfaceNormals Normal vectors computation volume_ashape3d Volume computation No Results!