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Morse Theory and Persisten Homology for Toplogical Analysis of 3D Images of Complex Materials

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Delgado-Friedrichs, Olaf; Robins, Vanessa; Sheppard, Adrian

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We develop topologically accurate and compatible definitions for the skeleton and watershed segmentation of a 3D digital object that are computed by a single algorithm. These definitions are based on a discrete gradient vector field derived from a signed

dc.contributor.authorDelgado-Friedrichs, Olaf
dc.contributor.authorRobins, Vanessa
dc.contributor.authorSheppard, Adrian
dc.coverage.spatialCNIT La Defense Paris, France
dc.date.accessioned2015-12-08T22:16:49Z
dc.date.created27 Oct - 30 Oct 2014
dc.identifier.isbn9781479957514
dc.identifier.urihttp://hdl.handle.net/1885/30849
dc.description.abstractWe develop topologically accurate and compatible definitions for the skeleton and watershed segmentation of a 3D digital object that are computed by a single algorithm. These definitions are based on a discrete gradient vector field derived from a signed
dc.publisherIEEE Signal Processing Society
dc.relation.ispartofseries2014 IEEE International Conference on Image Processing (ICIP)
dc.sourceProceedings of the 2014 IEEE International Conference on Image Processing (ICIP)
dc.titleMorse Theory and Persisten Homology for Toplogical Analysis of 3D Images of Complex Materials
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
dc.date.issued2014
local.identifier.absfor080106 - Image Processing
local.identifier.absfor020406 - Surfaces and Structural Properties of Condensed Matter
local.identifier.absfor080109 - Pattern Recognition and Data Mining
local.identifier.ariespublicationu8606713xPUB77
local.type.statusPublished Version
local.contributor.affiliationDelgado-Friedrichs, Olaf, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRobins, Vanessa, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationSheppard, Adrian, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage4872
local.bibliographicCitation.lastpage4876
local.identifier.doi10.1109/ICIP.2014.7025987
dc.date.updated2015-12-08T08:04:38Z
local.identifier.scopusID2-s2.0-84931054152
CollectionsANU Research Publications

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