Topologic, geometric, or graph-theoretic properties of skeletal curves

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aut.researcherKlette, Gisela
dc.contributor.advisorPetkov, N
dc.contributor.authorKlette, G
dc.date.accessioned2011-11-23T08:25:43Z
dc.date.available2011-11-23T08:25:43Z
dc.date.copyright2007-01-26
dc.date.issued2007-01-26
dc.date.submitted2006-10
dc.description.abstractMedical imaging is still mainly focusing on visualization and data communication. However, applications of digital image analysis methods in biomedical research are also increasing, due to demands and developments in hardware, image analysis software, and methodology. Shape simplification procedures are already important modules of software packages. The literature offers a large number of papers about algorithms, which aim at deforming images into topologically equivalent images; the latter ones should represent the shape of complex objects in a simplified form. This thesis reviews and extends the diversity of approaches published in this area with respect to properties of algorithms and characterizations of simple points. It contributes in particular with new theoretical results. Topologic thinning methods deliver digital curves (skeletons), which are used to describe objects in digital images. The thesis shows that different applications require different constraints and adjustments of general thinning or curve analysis procedures. It also studies the effect of increased grid resolution (e.g., trying to utilize progress in hardware) for the potential accuracy of measurements based on skeletons. The thesis illustrates results by contributing to one particular application (i.e., analysis of astrocytes in human brain tissue), for example by verifying the efficiency of calculated features for classification.
dc.identifier.citationPages 1 - 132
dc.identifier.isbn90-367-2844-4 (print) 90-367-2845-2 (online)
dc.identifier.urihttps://hdl.handle.net/10292/2646
dc.publisherAUT University
dc.relation.urihttp://irs.ub.rug.nl/ppn/298831856
dc.rightsAuckland University of Technology (AUT) encourages public access to AUT information and supports the legal use of copyright material in accordance with the Copyright Act 1994 (the Act) and the Privacy Act 1993. Unless otherwise stated, copyright material contained on this site may be in the intellectual property of AUT, a member of staff or third parties. Any commercial exploitation of this material is expressly prohibited without the written permission of the owner.
dc.rights.accessrightsOpenAccess
dc.subjectAnalysis of digital curves
dc.subjectSimple points
dc.subjectThinning
dc.subjectTopology
dc.subjectBranch nodes
dc.subjectMedical image processing
dc.titleTopologic, geometric, or graph-theoretic properties of skeletal curves
dc.typeDoctoral Thesis
dc.typeThesis/Dissertation
pubs.organisational-data/AUT
pubs.organisational-data/AUT/Design & Creative Technologies
pubs.organisational-data/AUT/Design & Creative Technologies/School of Computing & Mathematical Science
thesis.degree.grantorRijksuniversiteit Groningen, The Netherlands
thesis.degree.namePhd
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