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vaporization state, and the coagulation state of the tissue. The simulation of RF ablation typically uses a coupled system of PDEs for the electric potential and the heat transfer. [7] I. Altrogge, T. Pätz, T. Kröger, H.-O. Peitgen, and T. Preusser. Optimization and fast estimation of vessel cooling for RF ablation. In World Congress on Medical Physics and Biomedical Engineering, September 2009, Munich, Germany, volume 25/4 of IFMBE Proceedings, pages 1202–1205. Springer, 2010. [8] I. Altrogge, T. Preusser, T. Kröger, S. Haase, T. Pätz, and R. M. Kirby. Sensitivity analysis for the optimization of radiofrequency ablation in the presence of material parameter uncertainty. Submitted to International Journal for Uncertainty Quantification, 2011. [9] T. Kröger, T. Pätz, I. Altrogge, A. Schenk, K. S. Lehmann, B. B. Frericks, J.-P. Ritz, H.-O. Peitgen, and T. Preusser. Fast estimation of the vascular cooling in RFA based on numerical simulation. Open Biomed Eng J, 4:16–26, 2010. [10] T. Pätz, T. Kröger, and T. Preusser. Simulation of radiofrequency ablation including water evaporation. In World Congress on Medical Physics and Biomedical Engineering, September 2009, Munich, Germany, volume 25/4 of IFMBE Proceedings, pages 1287–1290. Springer, 2010. [11] T. Pätz and T. Preusser. Simulation of water evaporation during radiofrequency ablation using composite finite elements. In Proceedings of the 1st Conference on Multiphysics Simulation – Advanced Methods for Industrial Engineering, 2010. [12] T. Pätz and T. Preusser. Composite finite elements for a phase-change model. Submitted to SIAM Journal on Scientific Computing, 2011. [13] T. Pätz and T. Preusser. Simulation of water evaporation during radiofrequency ablation using composite finite elements. The International Journal of Multiphysics, Special Edition: Multiphysics Simulations – Advanced Methods for Industrial Engineering, pages 145–156, 2011. 120
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Segmentation of Stochastic Images u
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Abstract The task of segmentation,
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7.5 Segmentation of Stochastic Imag
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Chapter 1 Introduction The developm
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Figure 1.3: This thesis combines fi
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the presentation of the stochastic
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Chapter 2 Image Segmentation and Li
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Chapter 3 SPDEs and Polynomial Chao
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Chapter 4 Discretization of SPDEs F
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Chapter 4 Discretization of SPDEs 4
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Chapter 4 Discretization of SPDEs a
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Chapter 5 Stochastic Images
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Chapter 5 Stochastic Images Figure
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Chapter 5 Stochastic Images like qu
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Chapter 5 Stochastic Images Figure
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Chapter 6 Segmentation of Stochasti
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6.1 Random Walker Segmentation on S
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6.2 Ambrosio-Tortorelli Segmentatio
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