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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.

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organization
publishing date
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
2020-10-13 13:47:23
@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},
  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},
}