An implicit evolution scheme for active contours and surfaces based on IIR filtering

dc.contributor.author	Δελήμπασης, Κωνσταντίνος Κ.	el
dc.contributor.author	Ασβεστάς, Παντελής Α.	el
dc.contributor.author	Κεχρινιώτης, Αριστείδης Ι.	el
dc.contributor.author	Ματσόπουλος, Γεώργιος Κ.	el
dc.date.accessioned	2015-06-10T14:51:12Z
dc.date.available	2015-06-10T14:51:12Z
dc.date.issued	2015-06-10
dc.identifier.uri	http://hdl.handle.net/11400/15641
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://www.sciencedirect.com/science/article/pii/S0010482514000389	en
dc.subject	3D τμηματοποίηση
dc.subject	Ενεργό περίγραμμα
dc.subject	Ενεργή επιφάνεια
dc.subject	Σιωπηρή Εξέλιξη
dc.subject	Κατάτμηση
dc.subject	3D segmentation
dc.subject	Active contour
dc.subject	Active surface
dc.subject	Implicit evolution
dc.subject	Image segmentation
dc.title	An implicit evolution scheme for active contours and surfaces based on IIR filtering	en
heal.type	journalArticle
heal.classification	Πληροφορική
heal.classification	Ιατρική
heal.classification	Computer science
heal.classification	Medicine
heal.classificationURI	N/A-Πληροφορική
heal.classificationURI	N/A-Ιατρική
heal.classificationURI	http://skos.um.es/unescothes/C00750
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh00006614
heal.identifier.secondary	DOI: 10.1016/j.compbiomed.2014.02.007
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Μηχανικών Βιοϊατρικής Τεχνολογίας Τ.Ε.	el
heal.publicationDate	2014-05-01
heal.bibliographicCitation	Delibasis, K.K., Asvestas, P.A., Kechriniotis, A.I and Matsopoulos, G.K (2014) An implicit evolution scheme for active contours and surfaces based on IIR filtering. Computers in Biology and Medicine. [Online] 48 (1), pp.42-54. Available from: http://www.sciencedirect.com [Accessed 10/06/2015]	en
heal.abstract	In this work, we present an approach for implementing an implicit scheme for the numerical solution of the partial differential equation of the evolution of an active contour/surface. The proposed scheme is applicable to any variant of the traditional active contour (AC), irrespectively of the calculation of the image-based force field and it is readily applicable to explicitly parameterized active surfaces (AS). The proposed approach is formulated as an infinite impulse response (IIR) filtering of the coordinates of the contour/surface points. The poles of the filter are determined by the parameters controlling the shape of the active contour/surface. We show that the proposed IIR-based implicit evolution scheme has very low complexity. Furthermore, the proposed scheme is numerically stable, thus it allows the convergence of the AC/AS with significantly fewer iterations than the explicit evolution scheme. It also possesses the separability property along the two parameters of the AS, thus it may be applied to deformable surfaces, without the need to store and invert large sparse matrices. We implemented the proposed IIR-based implicit evolution scheme in the Vector Field Convolution (VFC) AC/AS using synthetic and clinical volumetric data. We compared the segmentation results with those of the explicit AC/AS evolution, in terms of accuracy and efficiency. Results show that the VFC AC/AS with the proposed IIR-based implicit evolution scheme achieves the same segmentation results with the explicit scheme, with considerably less computation time.	en
heal.publisher	Elsevier	en
heal.journalName	Computers in Biology and Medicine	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true