Finding the Largest Volume Parallelepipedon of Arbitrary Orientation in a Solid

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 ).INDEX TERMS Parallelogram, parallelepipedon, polyhedron, volume of interest (VOI).

A Computer-Aided Inspection System to Predict Quality Characteristics in Food Technology

“…Several works use Magnetic Resonance Imaging (MRI) as image acquisition technique [10] [11] [12][13] [6]. The acquisition of MRI is carried out in a non-invasive, non-intrusive, non-ionizing and innocuous way, so samples of analyzed meat can be marketed and consumed safely, since they are not destroyed or contaminated at all [14]. The content of lean meat in pork is evaluated in [15] and the distribution of intramuscular fat in beef is determined in [16].…”