title: Stereotactic dose computation and plan optimization using the convolution theorem. I. Dose computation.
abstract: With Leksell Gamma Knife stereotactic radiosurgery, the dose distribution delivered by a specific helmet can be assumed to remain as a fixed-dose distribution when the shot is moved to different locations within the predefined dose calculation matrix. The convolution theorem may be implemented to take advantage of this fact for fast dose computation and plan construction. Using this technique, the shot spatial arrangement is formulated as a convolution kernel, which is theoretically a three-dimensional multi-delta function. The dose distribution is computed by the convolution of this single-shot dose distribution with the shot convolution kernel. To determine the shot arrangement, an ideal dose distribution is generated based upon the target structure. Deconvolution is then applied to find the convolution kernel which best fits the proposed ideal dose distribution. The primary task of this presentation is to focus on and describe in detail the dose computation using the convolution theorem.
authors.affiliation: Department of Radiation Oncology, University of Miami School of Medicine, Fla. 33101, USA.
authors.forename: X
authors.initials: X
authors.lastname: Wu
authors.forename: J Y
authors.initials: JY
authors.lastname: Ting
authors.forename: A M
authors.initials: AM
authors.lastname: Markoe
authors.forename: H J
authors.initials: HJ
authors.lastname: Landy
authors.forename: J A
authors.initials: JA
authors.lastname: Fiedler
authors.forename: J
authors.initials: J
authors.lastname: Russell
mesh_terms: D000465:Algorithms; D003627:Data Interpretation, Statistical; D005240:Feasibility Studies; D011829:Radiation Dosage; D016634:Radiosurgery