@article{DeuflhardWeiserSeebass2000, author = {Deuflhard, Peter and Weiser, Martin and Seebaß, Martin}, title = {A New Nonlinear Elliptic Multilevel FEM Applied to Regional Hyperthermia}, volume = {3}, journal = {Comput. Visual. Sci.}, doi = {10.1007/PL00013546}, pages = {1 -- 6}, year = {2000}, language = {en} } @misc{DeuflhardWeiserSeebass1998, author = {Deuflhard, Peter and Weiser, Martin and Seebass, Martin}, title = {A New Nonlinear Elliptic Multilevel FEM Applied to Regional Hyperthermia}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3785}, number = {SC-98-35}, year = {1998}, abstract = {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.}, language = {en} } @article{DeuflhardWeiserSeebass2000, author = {Deuflhard, Peter and Weiser, Martin and Seebass, Martin}, title = {A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning}, volume = {3}, journal = {Comput. Vis. Sci.}, pages = {115 -- 120}, year = {2000}, language = {en} } @article{GellermannWustStallingetal.2000, author = {Gellermann, Johanna and Wust, Peter and Stalling, Detlev and Seebaß, Martin and Nadobny, Jacek and Hege, Hans-Christian and Deuflhard, Peter and Felix, Roland}, title = {Clinical evaluation and verification of the hyperthermia treatment planning system HyperPlan}, volume = {47(4)}, journal = {Int. J. Radiat. Oncol. Biol. Phys.}, doi = {10.1016/S0360-3016(00)00425-9}, pages = {1145 -- 1156}, year = {2000}, language = {en} } @inproceedings{LameckerLangeSeebass2003, author = {Lamecker, Hans and Lange, Thomas and Seebaß, Martin}, title = {Erzeugung statistischer 3D-Formmodelle zur Segmentierung medizinischer Bilddaten}, booktitle = {Proc. BVM 2003}, publisher = {Springer}, address = {Erlangen}, pages = {398 -- 403}, year = {2003}, language = {en} } @inproceedings{LangeLameckerSeebass2003, author = {Lange, Thomas and Lamecker, Hans and Seebaß, Martin}, title = {Ein Softwarepaket f{\"u}r die modellbasierte Segmentierung anatomischer Strukturen}, booktitle = {Proc. BVM 2003}, address = {Erlangen}, pages = {111 -- 116}, year = {2003}, language = {en} } @inproceedings{LameckerLangeSeebassetal.2003, author = {Lamecker, Hans and Lange, Thomas and Seebaß, Martin and Eulenstein, Sebastian and Westerhoff, Malte and Hege, Hans-Christian}, title = {Automatic Segmentation of the Liver for Preoperative Planning of Resections}, booktitle = {Proc. MMVR 2003}, publisher = {IOS press}, address = {Newport Beach, CA}, pages = {171 -- 173}, year = {2003}, language = {en} } @inproceedings{SeebassLameckerGellermannetal.2004, author = {Seebaß, Martin and Lamecker, Hans and Gellermann, Johanna and Wust, Peter}, title = {The impact of segmentation accuracy on treatment planning for regional hyperthermia}, booktitle = {Proceedings of the 9th International Congress on Hyperthermic Oncology}, year = {2004}, language = {en} } @inproceedings{LameckerSeebassHegeetal.2004, author = {Lamecker, Hans and Seebaß, Martin and Hege, Hans-Christian and Deuflhard, Peter}, title = {A 3D statistical shape model of the pelvic bone for segmentation}, booktitle = {Proceedings of SPIE - Volume 5370 Medical Imaging 2004}, editor = {Fitzpatrick, J. and Sonka, Milan}, doi = {10.1117/12.534145}, pages = {1341 -- 1351}, year = {2004}, language = {en} } @inproceedings{SeebassLameckerLangeetal.2003, author = {Seebaß, Martin and Lamecker, Hans and Lange, Thomas and Gellermann, Johanna and Wust, Peter}, title = {A Statistical Shape Model of the Pelvic Bone for Segmentation}, booktitle = {European Society for Hyperthermic Oncology Annual Meeting Proceedings}, pages = {91 -- 92}, year = {2003}, language = {en} } @inproceedings{LameckerLangeSeebass2002, author = {Lamecker, Hans and Lange, Thomas and Seebaß, Martin}, title = {A Statistical Shape Model for the Liver}, booktitle = {MICCAI 2002}, publisher = {Springer}, doi = {10.1007/3-540-45787-9_53}, pages = {422 -- 427}, year = {2002}, language = {en} } @article{SeebassBeckGellermannetal.2000, author = {Seebaß, Martin and Beck, Rudolf and Gellermann, Johanna and Nadobny, Jacek and Wust, Peter}, title = {Electromagnetic Phased Arrays for Regional Hyperthermia - Optimal Frequency and Antenna Arrangement}, volume = {17(4)}, journal = {Int. J. Hyperthermia}, pages = {321 -- 326}, year = {2000}, language = {en} } @article{WustBeckBergeretal.2000, author = {Wust, Peter and Beck, Rudolf and Berger, J{\"o}rn and F{\"a}hling, Horst and Seebaß, Martin and Wlodarczyk, Waldemar and Hoffmann, Werner and Nadobny, Jacek}, title = {Electric Field Distributions in a Phased-Array Applicator with 12 Channels - Measurements and Numerical Simulations}, volume = {27}, journal = {Medical Physics}, pages = {2565 -- 2579}, year = {2000}, language = {en} } @inproceedings{DeuflhardHegeSeebass2000, author = {Deuflhard, Peter and Hege, Hans-Christian and Seebaß, Martin}, title = {Progress Towards a Combined MRI/Hyperthermia System}, booktitle = {Proceedings Second International Congress HIGH CARE 2000}, address = {Bochum}, year = {2000}, language = {en} } @inproceedings{SeebassStallingZoeckleretal.1997, author = {Seebaß, Martin and Stalling, Detlev and Z{\"o}ckler, Malte and Hege, Hans-Christian and Wust, Peter and Felix, Roland and Deuflhard, Peter}, title = {Surface Mesh Generation for Numerical Simulations of Hyperthermia Treatments}, booktitle = {Proceedings of the 16th Annual Meeting of the European Society for Hyperthermic Oncology (ESHO-97)}, pages = {146}, year = {1997}, language = {en} } @inproceedings{DeuflhardSeebassStallingetal.1997, author = {Deuflhard, Peter and Seebaß, Martin and Stalling, Detlev and Beck, Rudolf and Hege, Hans-Christian}, title = {Hyperthermia Treatment Planning in Clinical Therapy}, booktitle = {Computational Physics, Chemistry and Biology (Proceedings of the 15th IMACS World Congress 1997 on Scientific Computation 3, Modelling and Applied Mathematics)}, editor = {Sydow, Achim}, publisher = {Wissenschaft und Technik Verlag}, pages = {9 -- 17}, year = {1997}, language = {en} } @inproceedings{WustNadobnyGellermannetal.1997, author = {Wust, Peter and Nadobny, Jacek and Gellermann, Johanna and Seebaß, Martin and Stalling, Detlev and Hege, Hans-Christian and Deuflhard, Peter and Felix, Roland}, title = {Patient Models and Algorithms for Hyperthermia Planning}, booktitle = {Proceedings of the 16th Annual Meeting of the European Society for Hyperthermic Oncology ESHO-97}, year = {1997}, language = {en} } @incollection{BeckDeuflhardHegeetal.1996, author = {Beck, Rudolf and Deuflhard, Peter and Hege, Hans-Christian and Seebaß, Martin and Stalling, Detlev}, title = {Numerical Algorithms and Visualization in Medical Treatment Planning}, booktitle = {Visualization and Mathematics 1997}, editor = {Hege, Hans-Christian and Polthier, Konrad}, publisher = {Springer, Heidelberg}, pages = {303 -- 328}, year = {1996}, language = {en} } @inproceedings{BeckHegeSeebassetal.1996, author = {Beck, Rudolf and Hege, Hans-Christian and Seebaß, Martin and Wust, Peter and Deuflhard, Peter and Felix, Roland}, title = {Adaptive Finite Element Codes for Numerical Calculations in Hyperthermia Treatment Planning}, volume = {2}, booktitle = {Proceedings of the 17th Congress on Hyperthermic Oncology}, address = {Rome, Italy}, pages = {515 -- 517}, year = {1996}, language = {en} } @article{NadobnyWustSeebassetal.1996, author = {Nadobny, Jacek and Wust, Peter and Seebaß, Martin and Deuflhard, Peter and Felix, Roland}, title = {A Volume Surface Integral Equation Method for Solving Maxwell's Equations in Electrically Inhomogeneous Media Using Tetrahedral Grids}, volume = {44}, journal = {IEEE Transactions Microwave Theory Techn.}, number = {4}, doi = {10.1109/22.491022}, pages = {543 -- 554}, year = {1996}, language = {en} } @inproceedings{NadobnyWustWlodarczyketal.1996, author = {Nadobny, Jacek and Wust, Peter and Wlodarczyk, Waldemar and Seebaß, Martin and Deuflhard, Peter and M{\"o}nich, Gerhard and Felix, Roland}, title = {Simulation Studies for Combination of Hyperthermia and Magnetic Resonance Systems}, volume = {2}, booktitle = {Proceedings of the 17th Congress on Hyperthermic Oncology}, address = {Rome, Italy}, pages = {549 -- 551}, year = {1996}, language = {en} } @inproceedings{SeebassStallingNadobnyetal.1996, author = {Seebaß, Martin and Stalling, Detlev and Nadobny, Jacek and Wust, Peter and Felix, Roland and Deuflhard, Peter}, title = {Three-Dimensional Finite Elements Mesh Generation for Numerical Simulations of Hyperthermia Treatments}, volume = {2}, booktitle = {Proceedings of the 17th Congress on Hyperthermic Oncology}, address = {Rome, Italy}, pages = {547 -- 548}, year = {1996}, language = {en} } @inproceedings{StallingSeebassHegeetal.1996, author = {Stalling, Detlev and Seebaß, Martin and Hege, Hans-Christian and Wust, Peter and Deuflhard, Peter and Felix, Roland}, title = {HyperPlan - an Integrated System for Treatment Planning in Regional Hyperthermia}, volume = {2}, booktitle = {Proceedings of the 17th Congress on Hyperthermic Oncology}, address = {Rome, Italy}, pages = {552 -- 554}, year = {1996}, language = {en} } @article{WustSeebassNadobnyetal.1996, author = {Wust, Peter and Seebaß, Martin and Nadobny, Jacek and Deuflhard, Peter and M{\"o}nich, Gerhard and Felix, Roland}, title = {Simulation Studies Promote Technological Development of Radiofrequency Phased Array Hyperthermia}, volume = {12}, journal = {Int. Journal of Hyperthermia}, pages = {477 -- 494}, year = {1996}, language = {en} } @article{NadobnySullivanWustetal.1998, author = {Nadobny, Jacek and Sullivan, Dennis and Wust, Peter and Seebaß, Martin and Deuflhard, Peter and Felix, Roland}, title = {A High-Resolution Interpolation at Arbitary Interfaces for the FDTD Method}, volume = {46}, journal = {IEEE Trans. Microwave Theory Tech.}, number = {11}, doi = {10.1109/22.734576}, pages = {1759 -- 1766}, year = {1998}, language = {en} } @inproceedings{NadobnyWustFaehlingetal.1998, author = {Nadobny, Jacek and Wust, Peter and F{\"a}hling, Horst and Stalling, Detlev and Seebaß, Martin and Deuflhard, Peter and Felix, Roland}, title = {Numerical and Experimental Evaluation of E-Field and Absorbed Power in the Pelvic Region Using a Bone-Equivalent Phantom}, booktitle = {Proc. PIERS Progress in Electromagnetic Research Symposium}, address = {Nantes}, pages = {264}, year = {1998}, language = {en} } @inproceedings{StallingSeebassZachow1999, author = {Stalling, Detlev and Seebaß, Martin and Zachow, Stefan}, title = {Mehrschichtige Oberfl{\"a}chenmodelle zur computergest{\"u}tzten Planung in der Chirurgie}, booktitle = {Bildverarbeitung f{\"u}r die Medizin 1999 - Algorithmen, Anwendungen}, publisher = {Springer-Verlag, Berlin}, pages = {203 -- 207}, year = {1999}, language = {en} } @article{WustNadobnySeebassetal.1999, author = {Wust, Peter and Nadobny, Jacek and Seebaß, Martin and Stalling, Detlev and Gellermann, Johanna and Hege, Hans-Christian and Deuflhard, Peter}, title = {Influence of Patient Models and Numerical Methods on Predicted Power Deposition Patterns}, volume = {15}, journal = {Int. Journal Hyperthermia}, number = {6}, pages = {519 -- 540}, year = {1999}, language = {en} } @article{LangErdmannSeebass1999, author = {Lang, Jens and Erdmann, Bodo and Seebaß, Martin}, title = {Impact of Nonlinear Heat Tansfer on Temperature Control in Regional Hypertermia}, volume = {46}, journal = {IEEE Trans. Biomed. Engrg.}, doi = {10.1109/10.784145}, pages = {1129 -- 1138}, year = {1999}, language = {en} } @inproceedings{DeuflhardSeebass1998, author = {Deuflhard, Peter and Seebaß, Martin}, title = {Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyerthermia}, booktitle = {Proc. Eleventh International Conference on Domain Decomposition Methods in Sciences and Engineering}, editor = {Lai, Choi-Hong and Bjorstad, Petter and Cross, Mark and Widlund, Olof}, address = {Greenwich, UK}, pages = {410 -- 421}, year = {1998}, language = {en} } @inproceedings{SeebassStallingHegeetal.1998, author = {Seebaß, Martin and Stalling, Detlev and Hege, Hans-Christian and Wust, Peter and Felix, Roland and Deuflhard, Peter}, title = {New Features of HyperPlan, a Hyperthermia Planning System}, booktitle = {Proc. Hyperthermia in Clincal Oncology}, address = {Venice}, pages = {16}, year = {1998}, language = {en} } @article{SeebassWustGellermannetal.1995, author = {Seebaß, Martin and Wust, Peter and Gellermann, Johanna and Stalling, Detlev and Nadobny, Jacek and Felix, Roland}, title = {Dreidimensionale Simulation der nicht-invasiven Radiowellen-Hyperthermie}, volume = {6}, journal = {Minimal Invasive Medizin}, number = {1}, pages = {29 -- 35}, year = {1995}, language = {en} } @article{GellermannWustStallingetal.2000, author = {Gellermann, Johanna and Wust, Peter and Stalling, Detlev and Seebass, Martin and Nadobny, Johanna and Beck, Rudolf and Hege, Hans-Christian and Deuflhard, Peter and Felix, Roland}, title = {Clinical evaluation and verification of the hyperthermia treatment planning system hyperplan}, volume = {47}, journal = {Int J Radiat Oncol Biol Phys}, number = {4}, pages = {1145 -- 1156}, year = {2000}, language = {en} } @inproceedings{GellermannWustStallingetal.1997, author = {Gellermann, Johanna and Wust, Peter and Stalling, Detlev and Tilly, Wolfgang and Nadobny, Johanna and Seebass, Martin and Deuflhard, Peter and Felix, Roland and Budach, Volker}, title = {First Clinical Experiences with the Hyperthermia Planning System HyperPlan}, booktitle = {Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997}, pages = {79}, year = {1997}, language = {en} } @inproceedings{ErdmannLangSeebass1997, author = {Erdmann, Bodo and Lang, Jens and Seebass, Martin}, title = {Adaptive Solutions of Nonlinear Parabolic Equations with Application to Hyperthermia Treatments}, booktitle = {CHT'97}, editor = {de Vahl Davis, G. and Leonardi, E.}, address = {Cesme, Turkey}, pages = {103 -- 110}, year = {1997}, language = {en} } @inproceedings{ErdmannLangSeebass1998, author = {Erdmann, Bodo and Lang, Jens and Seebass, Martin}, title = {Optimization of Temperature Distributions for Regional Hyperthermia based on a Nonlinear Heat Transfer Model}, volume = {858}, booktitle = {Biotransport}, editor = {Diller, K.}, pages = {36 -- 46}, year = {1998}, language = {en} } @article{ErdmannLangSeebass1999, author = {Erdmann, Bodo and Lang, Jens and Seebass, Martin}, title = {The Impact of a Nonlinear Heat Transfer Model for Temperature Control in Regional Hyperthermia}, volume = {49}, journal = {IEEE Transactions on Biomedical Engineering}, number = {9}, pages = {1129 -- 1138}, year = {1999}, language = {en} } @inproceedings{LameckerSeebassHegeetal.2004, author = {Lamecker, Hans and Seebaß, Martin and Hege, Hans-Christian and Deuflhard, Peter}, title = {A 3d statistical shape model of the pelvic bone for segmentation}, volume = {5370}, booktitle = {Proc. SPIE Medical Imaging 2004}, editor = {Fitzpatrick, J. and Sonka, Milan}, pages = {1341 -- 1351}, year = {2004}, language = {en} } @inproceedings{LameckerSeebassLangeetal.2004, author = {Lamecker, Hans and Seebass, Martin and Lange, Thomas and Hege, Hans-Christian and Deuflhard, Peter}, title = {Visualization of the variability of 3D statistical shape models by animation}, volume = {98}, booktitle = {Proc. Medicine Meets Virtual Reality}, editor = {Westwood, J.}, publisher = {IOS Press}, pages = {190 -- 196}, year = {2004}, language = {en} } @inproceedings{NadobnySullivanWustetal.1998, author = {Nadobny, Johanna and Sullivan, Dennis and Wust, Peter and Seebass, Martin and Deuflhard, Peter and Felix, Roland}, title = {A High Resolution Interpretation at Arbitrary Interfaces for the FDTD Method}, volume = {46}, booktitle = {IEEE Transactions on Microwave Theory and Techniques}, number = {11}, pages = {1759 -- 1766}, year = {1998}, language = {en} } @inproceedings{NadobnyWustSeebassetal.1995, author = {Nadobny, Johanna and Wust, Peter and Seebass, Martin and Deuflhard, Peter and Felix, Roland}, title = {The Use of the Volume-Surface Integral Equation Method (VSIE) for Antenna Problems}, booktitle = {Proc. COST 244 meeting on Reference Models for Bioelectromagnetic Test of Mobile Communication Systems, Roma, November 1994}, editor = {Simunic, D.}, pages = {67 -- 74}, year = {1995}, language = {en} } @article{NadobnyWustSeebassetal.1996, author = {Nadobny, Johanna and Wust, Peter and Seebass, Martin and Deuflhard, Peter and Felix, Roland}, title = {A Volume-Surface Integral Method for Solving Maxwell's Equations in Electrically Inhomogeneous Media Using Tetrahedral Grids}, volume = {44}, journal = {IEEE Transactions on Microwave Theory and Techniques}, number = {4}, pages = {543 -- 554}, year = {1996}, language = {en} } @inproceedings{NadobnyWustSeebassetal.1997, author = {Nadobny, Johanna and Wust, Peter and Seebass, Martin and Stalling, Detlev and Hege, Hans-Christian and Deuflhard, Peter and Felix, Roland}, title = {A Quantitative Comparison between the VSIE and the FDTD method using Electrically Equivalent Patient and Antenna Models}, booktitle = {Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997}, pages = {145}, year = {1997}, language = {en} } @inproceedings{NadobnyWustWlodarczyketal.1996, author = {Nadobny, Johanna and Wust, Peter and Wlodarczyk, Waldemar and Seebass, Martin and Deuflhard, Peter and Felix, Roland}, title = {Simulation Studies for Combination of Hyperthermia and Magnetic Resonance Systems}, volume = {2}, booktitle = {Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996}, editor = {Franconi, Cafiero}, pages = {549 -- 551}, year = {1996}, language = {en} } @inproceedings{SeebassStallingNadobnyetal.1996, author = {Seebass, Martin and Stalling, Detlev and Nadobny, Johanna and Wust, Peter and Felix, Roland and Deuflhard, Peter}, title = {Three-Dimensional Finite Element Mesh Generation for Numerical Simulations of Hyperthermia Treatments}, volume = {2}, booktitle = {Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996}, editor = {Franconi, Cafiero}, pages = {547 -- 548}, year = {1996}, language = {en} } @inproceedings{SeebassStallingZoeckleretal.1997, author = {Seebass, Martin and Stalling, Detlev and Z{\"o}ckler, M. and Hege, Hans-Christian and Wust, Peter and Felix, Roland and Deuflhard, Peter}, title = {Surface Mesh Generation for Numerical Simulations of Hyperthermia Treatments}, booktitle = {Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997}, pages = {146}, year = {1997}, language = {en} } @inproceedings{StallingSeebassHegeetal.1996, author = {Stalling, Detlev and Seebass, Martin and Hege, Hans-Christian and Wust, Peter and Deuflhard, Peter and Felix, Roland}, title = {HyperPlan - an integrated system for treatment planning in regional hyperthermia}, volume = {2}, booktitle = {Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996}, editor = {Franconi, Cafiero}, pages = {552 -- 554}, year = {1996}, language = {en} } @inproceedings{WustNadobnyGellermannetal.1997, author = {Wust, Peter and Nadobny, Johanna and Gellermann, Johanna and Seebass, Martin and Stalling, Detlev and Hege, Hans-Christian and Deuflhard, Peter and Budach, Volker and Felix, Roland}, title = {Patient Models and Algorithms for Hyperthermia Planning}, booktitle = {Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997}, pages = {75}, year = {1997}, language = {en} } @article{WustNadobnySeebassetal.1999, author = {Wust, Peter and Nadobny, Johanna and Seebass, Martin and Stalling, Detlev and Gellermann, Johanna and Hege, Hans-Christian and Deuflhard, Peter and Felix, Roland}, title = {Influence of patient models and numerical methods on predicted power deposition patterns}, volume = {15}, journal = {Int. J. Hyperthermia}, number = {6}, pages = {519 -- 540}, year = {1999}, language = {en} } @article{WustSeebassNadobnyetal.1996, author = {Wust, Peter and Seebass, Martin and Nadobny, Johanna and Deuflhard, Peter and M{\"o}nich, Gerhard and Felix, Roland}, title = {Simulation studies promote technological development of radiofrequency phased array hyperthermia}, volume = {12}, journal = {Int J Hyperthermia}, number = {4}, pages = {477 -- 494}, year = {1996}, language = {en} } @article{WustFahlingWlodarczyketal.2001, author = {Wust, Peter and Fahling, Horst and Wlodarczyk, Waldemar and Seebass, Martin and Gellermann, Johanna and Deuflhard, Peter and Nadobny, Johanna}, title = {Antenna arrays in the SIGMA-eye applicator}, volume = {28}, journal = {Med Phys}, number = {8}, pages = {1793 -- 1805}, year = {2001}, language = {en} } @misc{HegeSeebassStallingetal.1997, author = {Hege, Hans-Christian and Seebass, Martin and Stalling, Detlev and Z{\"o}ckler, Malte}, title = {A Generalized Marching Cubes Algorithm Based on Non-Binary Classifications}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-2741}, number = {SC-97-05}, year = {1997}, abstract = {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.}, language = {en} }