Quantifying the regularity of a 3D set of points on the surface of an ellipsoidal object
Comin, Cesar H. ; Taylor, Gavin J. LU
and Costa, Luciano da F.
(2020)
In Pattern Recognition Letters
133.
p.1-7
- Abstract
Several natural and artificial structures, such as human skin and mammals cortices, exhibit a compound organization, with basic elements being distributed along a surface. The problem of quantifying the geometrical uniformity of this type of biological and physical compound structures is addressed in this work. This required the solution of several problems, including the detection, along the surface, of the borders of the compound system, defining the adjacency between the elements in the 3D space, and obtaining a reference of uniformity for calculating the polygonality. Specific approaches were devised and applied to address each of these difficulties, including connectivity criteria ensuring the adjacency to remain within the... (More)
Several natural and artificial structures, such as human skin and mammals cortices, exhibit a compound organization, with basic elements being distributed along a surface. The problem of quantifying the geometrical uniformity of this type of biological and physical compound structures is addressed in this work. This required the solution of several problems, including the detection, along the surface, of the borders of the compound system, defining the adjacency between the elements in the 3D space, and obtaining a reference of uniformity for calculating the polygonality. Specific approaches were devised and applied to address each of these difficulties, including connectivity criteria ensuring the adjacency to remain within the considered surface as well as the extension of the polygonality, originally suggested for 2D structures, to 3D compound systems. The potential of the so-obtained method is illustrated with respect to compound eyes of fungus gnats (small, forest dwelling flies), and interesting results are reported and discussed, including the fact that the uniformity tends to increase toward the center of the system, and the absence of correlation with two measurements traditionally used for characterizing this type of eyes.
(Less)
- author
- Comin, Cesar H.
; Taylor, Gavin J.
LU
and Costa, Luciano da F.
- organization
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- 3D Regularity, Compound structure, Ellipsoid hexagonal tilling
- in
- Pattern Recognition Letters
- volume
- 133
- pages
- 7 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:85079644277
- ISSN
- 0167-8655
- DOI
- 10.1016/j.patrec.2020.02.012
- language
- English
- LU publication?
- yes
- id
- 73096461-68af-41b4-9576-29fe1430d82a
- date added to LUP
- 2020-03-03 14:28:20
- date last changed
- 2024-04-03 04:06:55
@article{73096461-68af-41b4-9576-29fe1430d82a,
abstract = {{<p>Several natural and artificial structures, such as human skin and mammals cortices, exhibit a compound organization, with basic elements being distributed along a surface. The problem of quantifying the geometrical uniformity of this type of biological and physical compound structures is addressed in this work. This required the solution of several problems, including the detection, along the surface, of the borders of the compound system, defining the adjacency between the elements in the 3D space, and obtaining a reference of uniformity for calculating the polygonality. Specific approaches were devised and applied to address each of these difficulties, including connectivity criteria ensuring the adjacency to remain within the considered surface as well as the extension of the polygonality, originally suggested for 2D structures, to 3D compound systems. The potential of the so-obtained method is illustrated with respect to compound eyes of fungus gnats (small, forest dwelling flies), and interesting results are reported and discussed, including the fact that the uniformity tends to increase toward the center of the system, and the absence of correlation with two measurements traditionally used for characterizing this type of eyes.</p>}},
author = {{Comin, Cesar H. and Taylor, Gavin J. and Costa, Luciano da F.}},
issn = {{0167-8655}},
keywords = {{3D Regularity; Compound structure; Ellipsoid hexagonal tilling}},
language = {{eng}},
pages = {{1--7}},
publisher = {{Elsevier}},
series = {{Pattern Recognition Letters}},
title = {{Quantifying the regularity of a 3D set of points on the surface of an ellipsoidal object}},
url = {{http://dx.doi.org/10.1016/j.patrec.2020.02.012}},
doi = {{10.1016/j.patrec.2020.02.012}},
volume = {{133}},
year = {{2020}},
}