Skip navigation
Skip navigation

Geometrical and topological features of isotrigon textures

Nagai, Yoshinori; Maddess, Ted

Description

Isorigon textures are considered from the perspectives of geometry and topology. The textures considered here consist of finite size pixels. Thus we should use discrete mathematics. We use the Gaussian and mean curvatures to characterize textures by introducing the discrete scheme of curvature calculation from our previous work (Mem. Cntr. lnjor. Sci. Kokushikan U 30 (2009) 1-13). We also consider Minkowski functionals using the morphological analysis of images, one of which comes from the...[Show more]

dc.contributor.authorNagai, Yoshinori
dc.contributor.authorMaddess, Ted
dc.date.accessioned2014-04-16T03:06:20Z
dc.date.available2014-04-16T03:06:20Z
dc.identifier.issn0916-2348
dc.identifier.urihttp://hdl.handle.net/1885/11576
dc.description.abstractIsorigon textures are considered from the perspectives of geometry and topology. The textures considered here consist of finite size pixels. Thus we should use discrete mathematics. We use the Gaussian and mean curvatures to characterize textures by introducing the discrete scheme of curvature calculation from our previous work (Mem. Cntr. lnjor. Sci. Kokushikan U 30 (2009) 1-13). We also consider Minkowski functionals using the morphological analysis of images, one of which comes from the application of the Gauss-Bonnet theorem on closed oriented surfaces. This idea is an intrinsic property of surface so that the application of Gauss-Bonnet theorem leads to the topology of surfaces. In the topology of surfaces integrated Gaussian curvature plays a key role. Thus the integrated Gaussian curvature of surfaces consisting of finite size elements is calculated for isotrigon textures. The integrated Gaussian curvature has large values for isotrigon textures and we discuss why this occurs.
dc.format9 pages
dc.publisherThe Kokushikan University Center for Information Science
dc.rightsCopyright held by author
dc.sourceMemoirs of the Kokushikan University Center for Information Science 31 (2010): 1-9
dc.subjectisotrigon
dc.subjecttextures
dc.subjectMinkowski
dc.subjectfunctionals
dc.titleGeometrical and topological features of isotrigon textures
dc.typeJournal article
local.identifier.citationvolume31
dcterms.dateAccepted2010-01-20
dc.date.issued2010-03
local.identifier.absfor170205 - Neurocognitive Patterns and Neural Networks
local.identifier.absfor111303 - Vision Science
local.identifier.ariespublicationu8611701xPUB102
local.type.statusPublished Version
local.contributor.affiliationNagai, Yoshinori, Kokushikan University
local.contributor.affiliationMaddess, Ted, College of Medicine, Biology and Environment, ANU
dc.relationhttp://purl.org/au-research/grants/arc/ce0561903
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage10
local.identifier.absseo920107 - Hearing, Vision, Speech and Their Disorders
dc.date.updated2015-12-08T09:06:36Z
CollectionsANU Research Publications

Download

File Description SizeFormat Image
Nagai Geometrical and Topological Features 2010.pdf764.35 kBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator