In higher dimensions, finding the largest empty box has applications in data mining, such as finding large gaps in a multi-dimensional data set [22]. A box ...
A maximal empty rectangle is a rectangle which is not contained in another empty rectangle. Each side of a maximal empty rectangle abuts an obstacle.
Mar 14, 2021 · We revisit a classical problem in computational geometry: finding the largest-volume axis-aligned empty box (inside a given bounding box) amidst n given points ...
Feb 1, 2023 · The problem is to find the maximum empty hyper-rectangle (MEHR) to characterize the largest rectangular region with sides parallel to the axes.
In this paper, we present an algorithm for computing the maximum empty hyper rectangle (MEHR) in three dimensions as a natural generalization of the MER problem ...
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(II)For any d ≥ 3 dź3, we prove that the number of maximum-volume empty boxes amidst n points in R d Rd is always O ( n d ) O(nd) and sometimes Ω ( n ⌊ d / 2 ⌋ ) ...
Jun 2, 2012 · I believe you are looking for the radius of a largest empty ball among your point set, a quantity which goes under the name of dispersion.
Our Monte Carlo-based algorithm discovers interesting maximal empty hyper-rectangles in cases where dimensionality and input size would otherwise make analysis ...
PDF | Given a collection of points in a multi-dimensional space, we consider the problem of finding the set of all possible Maximal Hyper-Rectangle.
Mar 19, 2013 · In higher dimensions, finding an empty axis-parallel box with the maximum volume has applications in data mining, in finding large gaps in a ...