Towards the mathematic formalization of parametric generalized cylinders and initial results in modeling 3D image data

dc.contributor.author	Κεχρινιώτης, Αριστείδης Ι.	el
dc.contributor.author	Δελήμπασης, Κωνσταντίνος Κ.	el
dc.contributor.author	Τσώνος, Χρήστος	el
dc.contributor.author	Ασημάκης, Νικόλαος Δ.	el
dc.contributor.author	Ασβεστάς, Παντελής Α.	el
dc.date.accessioned	2015-02-08T11:32:09Z
dc.date.issued	2015-02-08
dc.identifier.uri	http://hdl.handle.net/11400/5842
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://ieeexplore.ieee.org/	en
dc.subject	Computer vision
dc.subject	Optimisation
dc.subject	Υπολογιστική όραση
dc.subject	Βελτιστοποίηση
dc.title	Towards the mathematic formalization of parametric generalized cylinders and initial results in modeling 3D image data	en
heal.type	conferenceItem
heal.generalDescription	Proceedings	en
heal.classification	Medicine
heal.classification	Biomedical engineering
heal.classification	Ιατρική
heal.classification	Βιοϊατρική τεχνολογία
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh00006614
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85014237
heal.classificationURI	N/A-Ιατρική
heal.classificationURI	N/A-Βιοϊατρική τεχνολογία
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85029549
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh2003006589
heal.identifier.secondary	DOI: 10.1109/IWSSIP.2009.5367736
heal.dateAvailable	10000-01-01
heal.language	en
heal.access	forever
heal.recordProvider	Τ.Ε.Ι. Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Μηχανικών Βιοϊατρικής Τεχνολογίας Τ.Ε.	el
heal.publicationDate	2009
heal.bibliographicCitation	Kechriniotis, A., Delibasis, K., Tsonos, C., Assimakis, N. and Asvestas, P. (2009). Towards the mathematic formalization of parametric generalized cylinders and initial results in modeling 3D image data. In the 16th International Conference on Systems, Signals and Image Processing. Chalkida, 18th-20th June 2009. pp. 1-5. IEEE.	en
heal.abstract	Generalized cylinders (GCs) have been proposed in computer vision for object modeling in two dimensional images. However approaches so far have not investigated closed form solutions, based on a formal generic definition that covers every possible family of surfaces. In this work we derive the parametric definition of the torus-like surface that is generated when moving a planar closed curve along a three dimensional curve and provide the analytical solution for the distance of an arbitrary point from the surface. As an application, a family of surfaces that approximate a long bone is selected and analytical parametric equations are derived. The measure of match (MoM) between the parametric surface of GC and a three-dimensional (3D) image is defined, using the previously derived analytic parametric equation. The MoM is sampled along pairs of surface shape controlling parameters and its unimodality is evaluated for synthetic 3D image, under various levels of Gaussian noise. Finally, a global optimization technique is applied to determine shape controlling parameter values to fit the synthetic 3D image data.	en
heal.publisher	IEEE	en
heal.fullTextAvailability	true
heal.conferenceName	International Conference on Systems, Signals and Image Processing	en
heal.conferenceItemType	full paper