Quantifying the regularity of a 3D set of points on the surface of an ellipsoidal object

Autor(es)

Comin, Cesar H. ^[1] ; Taylor, Gavin J. ^[2] ; Costa, Luciano da F. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Carlos, Dept Comp Sci, Sao Carlos, SP - Brazil

^[2] Lund Univ, Dept Biol, Lund, Skane - Sweden

^[3] Univ Sao Paulo, Sao Carlos Inst Phys, Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PATTERN RECOGNITION LETTERS; v. 133, p. 1-7, MAY 2020.
• Citações Web of Science: 0

Resumo

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. (C) 2020 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 15/22308-2 - Representações intermediárias em Ciência Computacional para descoberta de conhecimento
• Beneficiário: Roberto Marcondes Cesar Junior
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 11/50761-2 - Modelos e métodos de e-Science para ciências da vida e agrárias
• Beneficiário: Roberto Marcondes Cesar Junior
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 18/09125-4 - Representação, caracterização e modelagem de imagens biológicas utilizando redes complexas
• Beneficiário: Cesar Henrique Comin
• Modalidade de apoio: Auxílio à Pesquisa - Regular