TY - CHAP A1 - Lamecker, Hans A1 - Seebaß, Martin A1 - Hege, Hans-Christian A1 - Deuflhard, Peter ED - Fitzpatrick, J. ED - Sonka, Milan T1 - A 3d statistical shape model of the pelvic bone for segmentation T2 - Proc. SPIE Medical Imaging 2004 Y1 - 2004 VL - 5370 SP - 1341 EP - 1351 ER - TY - CHAP A1 - Lamecker, Hans A1 - Seebaß, Martin A1 - Hege, Hans-Christian A1 - Deuflhard, Peter ED - Fitzpatrick, J. ED - Sonka, Milan T1 - A 3D statistical shape model of the pelvic bone for segmentation T2 - Proceedings of SPIE - Volume 5370 Medical Imaging 2004 Y1 - 2004 U6 - https://doi.org/10.1117/12.534145 SP - 1341 EP - 1351 ER - TY - GEN A1 - Hege, Hans-Christian A1 - Seebass, Martin A1 - Stalling, Detlev A1 - Zöckler, Malte T1 - A Generalized Marching Cubes Algorithm Based on Non-Binary Classifications N2 - We present a new technique for generating surface meshes from a uniform set of discrete samples. Our method extends the well-known marching cubes algorithm used for computing polygonal isosurfaces. While in marching cubes each vertex of a cubic grid cell is binary classified as lying above or below an isosurface, in our approach an arbitrary number of vertex classes can be specified. Consequently the resulting surfaces consist of patches separating volumes of two different classes each. Similar to the marching cubes algorithm all grid cells are traversed and classified according to the number of different vertex classes involved and their arrangement. The solution for each configuration is computed based on a model that assigns probabilities to the vertices and interpolates them. We introduce an automatic method to find a triangulation which approximates the boundary surfaces - implicitly given by our model - in a topological correct way. Look-up tables guarantee a high performance of the algorithm. In medical applications our method can be used to extract surfaces from a 3D segmentation of tomographic images into multiple tissue types. The resulting surfaces are well suited for subsequent volumetric mesh generation, which is needed for simulation as well as visualization tasks. The proposed algorithm provides a robust and unique solution, avoiding ambiguities occuring in other methods. The method is of great significance in modeling and animation too, where it can be used for polygonalization of non-manifold implicit surfaces. T3 - ZIB-Report - SC-97-05 Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-2741 ER - TY - CHAP A1 - Nadobny, Johanna A1 - Sullivan, Dennis A1 - Wust, Peter A1 - Seebass, Martin A1 - Deuflhard, Peter A1 - Felix, Roland T1 - A High Resolution Interpretation at Arbitrary Interfaces for the FDTD Method T2 - IEEE Transactions on Microwave Theory and Techniques Y1 - 1998 VL - 46 IS - 11 SP - 1759 EP - 1766 ER - TY - JOUR A1 - Nadobny, Jacek A1 - Sullivan, Dennis A1 - Wust, Peter A1 - Seebaß, Martin A1 - Deuflhard, Peter A1 - Felix, Roland T1 - A High-Resolution Interpolation at Arbitary Interfaces for the FDTD Method JF - IEEE Trans. Microwave Theory Tech. Y1 - 1998 U6 - https://doi.org/10.1109/22.734576 VL - 46 IS - 11 SP - 1759 EP - 1766 ER - TY - GEN A1 - Deuflhard, Peter A1 - Weiser, Martin A1 - Seebass, Martin T1 - A New Nonlinear Elliptic Multilevel FEM Applied to Regional Hyperthermia N2 - In the clinical cancer therapy of regional hyperthermia nonlinear perfusion effects inside and outside the tumor seem to play a not negligible role. A stationary model of such effects leads to a nonlinear Helmholtz term within an elliptic boundary value problem. The present paper reports about the application of a recently designed adaptive multilevel FEM to this problem. For several 3D virtual patients, nonlinear versus linear model is studied. Moreover, the numerical efficiency of the new algorithm is compared with a former application of an adaptive FEM to the corresponding instationary model PDE. T3 - ZIB-Report - SC-98-35 KW - hyperthermia KW - nonlinear elliptic KW - multilevel FEM Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3785 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Weiser, Martin A1 - Seebaß, Martin T1 - A New Nonlinear Elliptic Multilevel FEM Applied to Regional Hyperthermia JF - Comput. Visual. Sci. Y1 - 2000 U6 - https://doi.org/10.1007/PL00013546 VL - 3 SP - 1 EP - 6 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Weiser, Martin A1 - Seebass, Martin T1 - A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning JF - Comput. Vis. Sci. Y1 - 2000 VL - 3 SP - 115 EP - 120 ER - TY - CHAP A1 - Nadobny, Johanna A1 - Wust, Peter A1 - Seebass, Martin A1 - Stalling, Detlev A1 - Hege, Hans-Christian A1 - Deuflhard, Peter A1 - Felix, Roland T1 - A Quantitative Comparison between the VSIE and the FDTD method using Electrically Equivalent Patient and Antenna Models T2 - Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997 Y1 - 1997 SP - 145 ER - TY - CHAP A1 - Lamecker, Hans A1 - Lange, Thomas A1 - Seebaß, Martin T1 - A Statistical Shape Model for the Liver T2 - MICCAI 2002 Y1 - 2002 U6 - https://doi.org/10.1007/3-540-45787-9_53 SP - 422 EP - 427 PB - Springer ER - TY - CHAP A1 - Seebaß, Martin A1 - Lamecker, Hans A1 - Lange, Thomas A1 - Gellermann, Johanna A1 - Wust, Peter T1 - A Statistical Shape Model of the Pelvic Bone for Segmentation T2 - European Society for Hyperthermic Oncology Annual Meeting Proceedings Y1 - 2003 SP - 91 EP - 92 ER - TY - JOUR A1 - Nadobny, Jacek A1 - Wust, Peter A1 - Seebaß, Martin A1 - Deuflhard, Peter A1 - Felix, Roland T1 - A Volume Surface Integral Equation Method for Solving Maxwell’s Equations in Electrically Inhomogeneous Media Using Tetrahedral Grids JF - IEEE Transactions Microwave Theory Techn. Y1 - 1996 U6 - https://doi.org/10.1109/22.491022 VL - 44 IS - 4 SP - 543 EP - 554 ER - TY - JOUR A1 - Nadobny, Johanna A1 - Wust, Peter A1 - Seebass, Martin A1 - Deuflhard, Peter A1 - Felix, Roland T1 - A Volume-Surface Integral Method for Solving Maxwell’s Equations in Electrically Inhomogeneous Media Using Tetrahedral Grids JF - IEEE Transactions on Microwave Theory and Techniques Y1 - 1996 VL - 44 IS - 4 SP - 543 EP - 554 ER - TY - CHAP A1 - Beck, Rudolf A1 - Hege, Hans-Christian A1 - Seebass, Martin A1 - Wust, Peter A1 - Deuflhard, Peter A1 - Felix, Roland ED - Franconi, Cafiero T1 - Adaptive finite element codes for numerical calculations in hyperthermia treatment planning T2 - Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996 Y1 - 1996 VL - 2 SP - 515 EP - 517 ER - TY - CHAP A1 - Beck, Rudolf A1 - Hege, Hans-Christian A1 - Seebaß, Martin A1 - Wust, Peter A1 - Deuflhard, Peter A1 - Felix, Roland T1 - Adaptive Finite Element Codes for Numerical Calculations in Hyperthermia Treatment Planning T2 - Proceedings of the 17th Congress on Hyperthermic Oncology Y1 - 1996 VL - 2 SP - 515 EP - 517 CY - Rome, Italy ER - TY - CHAP A1 - Deuflhard, Peter A1 - Seebaß, Martin ED - Lai, Choi-Hong ED - Bjorstad, Petter ED - Cross, Mark ED - Widlund, Olof T1 - Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyerthermia T2 - Proc. Eleventh International Conference on Domain Decomposition Methods in Sciences and Engineering Y1 - 1998 SP - 410 EP - 421 CY - Greenwich, UK ER - TY - GEN A1 - Deuflhard, Peter A1 - Seebass, Martin T1 - Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyperthermia N2 - The paper surveys recent progress in a joint mathematical-medical project on cancer therapy planning. Within so-called regional hyperthermia the computational task is to tune a set of coupled radiofrequency antennas such that a carefully measured tumor is locally heated, but any outside hot spots are avoided. A mathematical model of the whole clinical system -- air, applicator with antennas, water bolus, individual patient body -- involves Maxwell's equations in inhomogeneous media and a parabolic bioheat transfer equation, which represents a simplified model of heat transfer in the human body (ignoring strong blood vessel heat transport). Both PDEs need to be computed fast and to medical reliability (!) on a workstation within a clinical environment. This requirement triggered a series of new algorithmic developments to be reported here, among which is an adaptive multilevel FEM for Maxwell's equations, which dominates the numerical simulation time. In total, however, the main bulk of computation time (see Table 3 in Section 4 below) still goes into segmentation -- a necessary preprocessing step in the construction a 3D virtual patient from the input of a stack of 2D computed tomograms (left out here). T3 - ZIB-Report - SC-98-30 KW - hyperthermia KW - Maxwell's equations KW - nonlinear heat transfer KW - finite elements Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3739 ER - TY - CHAP A1 - Deuflhard, Peter A1 - Seebass, Martin ED - Lai, Choi-Hong ED - Bjørstad, Petter E. ED - Cross, Mark ED - Widlund, Olof T1 - Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyperthermia T2 - Procs. Eleventh International Conference on Domain Decomposition Methods Y1 - 1999 SP - 403 EP - 414 PB - DDM-org Press,Bergen ER - TY - GEN A1 - Erdmann, Bodo A1 - Lang, Jens A1 - Seebass, Martin T1 - Adaptive Solutions of Nonlinear Parabolic Equations with Application to Hyperthermia Treatments N2 - We present a self-adaptive finite element method to solve nonlinear evolution problems in 3D. An implicit time integrator of Rosenbrock type is coupled with a multilevel approach in space. The proposed method is applied to hyperthermia treatments to demonstrate its potential for the solving of complicated problems. T3 - ZIB-Report - SC-97-44 Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3130 ER - TY - CHAP A1 - Erdmann, Bodo A1 - Lang, Jens A1 - Seebass, Martin ED - de Vahl Davis, G. ED - Leonardi, E. T1 - Adaptive Solutions of Nonlinear Parabolic Equations with Application to Hyperthermia Treatments T2 - CHT’97 Y1 - 1997 SP - 103 EP - 110 CY - Cesme, Turkey ER -