arrow
Return

Parsimonious Simplicial Intersection Algorithm

delete2025-12-01
delete0
PRE
AI
C
Conor McCoid *
DOI:10.1145/3766904delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
Intersection algorithms are crucial in many applications, but they may not be robust. Without robustness, these algorithms may fail to correctly identify large intersections. To prevent that, this article develops a parsimonious algorithm for the intersection of simplices. This generalizes earlier algorithms on triangle and tetrahedral intersections. This article outlines the algorithm and its parsimony and proves its consistency. Numerical experiments confirm its applicability.
Keywords:
numerical geometric intersection
simplices
robustness

Journal

ACM Transactions on Mathematical Software cover
ACM Transactions on Mathematical Software
IF:
3.2
Papers:
33
Citations:
5.1K

Organization

L
laval university
Scholars:
2.5W
Papers: 2.2W
Citations: 96