Optimized bounding boxes for three-dimensional treatment planning in brachytherapy

Lahanas, M; Kemmerer, T; Milickovic, N; Karouzakis, K; Baltas, D; Zamboglou, N

dc.contributor.author	Lahanas, M	en
dc.contributor.author	Kemmerer, T	en
dc.contributor.author	Milickovic, N	en
dc.contributor.author	Karouzakis, K	en
dc.contributor.author	Baltas, D	en
dc.contributor.author	Zamboglou, N	en
dc.date.accessioned	2014-03-01T01:15:46Z
dc.date.available	2014-03-01T01:15:46Z
dc.date.issued	2000	en
dc.identifier.issn	0094-2405	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13724
dc.subject	minimum bounding box	en
dc.subject	geometrical optimization	en
dc.subject	brachytherapy	en
dc.subject.classification	Radiology, Nuclear Medicine & Medical Imaging	en
dc.title	Optimized bounding boxes for three-dimensional treatment planning in brachytherapy	en
heal.type	journalArticle	en
heal.identifier.primary	10.1118/1.1312808	en
heal.identifier.secondary	http://dx.doi.org/10.1118/1.1312808	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	It is sometimes necessary to determine the optimal value for a direction dependent quantity. Using a search technique based on Powell's quadratic convergent method such an optimal direction can be approximated. The necessary geometric transformations in n-dimensional space are introduced. As an example we consider the approximation of the minimum bounding box of a set of three-dimensional points. Minimum bounding boxes can significantly improve accuracy and efficiency of the calculations in modern brachytherapy treatment planning of the volumes of objects or the dose distribution inside an object. A covariance matrix based approximation method for the minimum bounding box is compared with the results of the search method. The benefits of the use of optimal oriented bounding boxes in brachytherapy treatment planning systems are demonstrated and discussed. (C) 2000 American Association of Physicists in Medicine. [S0094-2405(00)02210-0].	en
heal.publisher	AMER INST PHYSICS	en
heal.journalName	MEDICAL PHYSICS	en
dc.identifier.doi	10.1118/1.1312808	en
dc.identifier.isi	ISI:000090089500017	en
dc.identifier.volume	27	en
dc.identifier.issue	10	en
dc.identifier.spage	2333	en
dc.identifier.epage	2342	en