The implementation of an algorithm to find the convex hull of a set of three-dimensional points

Author:

Day A. M.1

Affiliation:

1. Univ. of East Anglia, Norwich, UK

Abstract

A detailed description of the implementation of a three-dimensional convex hull algorithm is given. The problems experienced in the production and testing of a correct and robust implementation of a geometric algorithm are discussed. Attention is paid to those issues that are often brushed over in the theoretical descriptions but cause errors in a real computation. These include degeneracies such as coplanar points, floating-point errors, and other special, but not necessarily degenerate, cases.

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Graphics and Computer-Aided Design

Reference9 articles.

1. Geometric modeling of solid objects by using a face adjacency graph representation

2. BRAID I. Notes on a geometric modeller. C.A.D. Group Doc. 101 Univ. of Cambridge U.K. June 1979. BRAID I. Notes on a geometric modeller. C.A.D. Group Doc. 101 Univ. of Cambridge U.K. June 1979.

3. DAY A.M. The implementation of an algorithm to find the convex hull of a three dimensional set of points. Memo CGP 87/5 Dept. of Computing Science Univ. of East Anglia Norwich U.K. 1987. DAY A.M. The implementation of an algorithm to find the convex hull of a three dimensional set of points. Memo CGP 87/5 Dept. of Computing Science Univ. of East Anglia Norwich U.K. 1987.

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