Clees, TanjaTanjaCleesHornung, N.N.HornungNikitin, I.I.NikitinNikitina, L.L.NikitinaSteffes-lai, D.D.Steffes-laiKlimenko, S.S.Klimenko2022-03-042022-03-042014https://publica.fraunhofer.de/handle/publica/23689310.1016/j.jocs.2014.06.003We present a generic approach for focused ultrasonic therapy planning on the basis of numerical simulation, multi-objective optimization, stochastic analysis and visualization in virtual environments. A realistic test case is used to demonstrate the approach. RBF metamodeling of simulation results is performed for continuous representation of two optimization objectives. The non-convex Pareto front of the objectives is determined by means of non-dominated set and local improvement algorithms. Uncertainties of metamodeling are estimated by means of a cross-validation procedure. The 3D visualization in virtual environment framework Avango allows detailed inspection of MRT images, the corresponding material model and spatial distribution of the resulting thermal dose.en400journal article