R Implementation of a Polyhedral Approximation to a 3D Set of Points Using the α-Shape

被引：0

作者：

Lafarge, Thomas ^{[1
]}

Pateiro-Lopez, Beatriz ^{[1
]}

Possolo, Antonio ^{[1
]}

Dunkers, Joy P. ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Santiago De Compostela, Spain

来源：

JOURNAL OF STATISTICAL SOFTWARE | 2014年 / 56卷 / 04期

关键词：

set estimation; 3D surface reconstruction; alpha-convexity; alpha-shape; R; CONVEX; MACROMOLECULES; COMPUTATION;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This work presents the implementation in R of the alpha-shape of a finite set of points in the three-dimensional space R-3. 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 R package alphashape3d provides users with tools to facilitate the three-dimensional graphical visualization of the estimated set as well as the computation of important characteristics such as the connected components or the volume, among others.

引用

页数：19

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