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Optimized bounding boxes for three‐dimensional treatment planning in brachytherapy
Author(s) -
Lahanas M.,
Kemmerer T.,
Milickovic N.,
Karouzakis K.,
Baltas D.,
Zamboglou N.
Publication year - 2000
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.1312808
Subject(s) - minimum bounding box , bounding overwatch , radiation treatment planning , brachytherapy , mathematical optimization , mathematics , quadratic equation , bounding volume , computer science , algorithm , artificial intelligence , geometry , image (mathematics) , radiation therapy , collision detection , medicine , computer security , collision
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.