학술논문

Finding the Largest Volume Parallelepipedon of Arbitrary Orientation in a Solid
Document Type
article
Source
IEEE Access, Vol 9, Pp 103600-103609 (2021)
Subject
Parallelogram
parallelepipedon
polyhedron
volume of interest (VOI)
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
Language
English
ISSN
2169-3536
Abstract
3D Computer Vision algorithms are a subject of research and application for several industrial processes. The Volume of Interest (VOI) usually refer to sub-objects with basic shapes for computing these algorithms. However, in many cases the objects are available as irregular shapes with many vertices, and in order to apply algorithms effectively, it is essential to compute the largest volume parallelepipedon contained in 3D objects. There are no other approximation algorithms for finding the largest volume parallelepipedon of arbitrary orientation inscribed in a closed 3D contour with a computational cost better than the algorithm proposed in this paper, been $O(n^{3})$ .