TY - JOUR A1 - von Tycowicz, Christoph A1 - Ambellan, Felix A1 - Mukhopadhyay, Anirban A1 - Zachow, Stefan T1 - An Efficient Riemannian Statistical Shape Model using Differential Coordinates JF - Medical Image Analysis N2 - We propose a novel Riemannian framework for statistical analysis of shapes that is able to account for the nonlinearity in shape variation. By adopting a physical perspective, we introduce a differential representation that puts the local geometric variability into focus. We model these differential coordinates as elements of a Lie group thereby endowing our shape space with a non-Euclidean structure. A key advantage of our framework is that statistics in a manifold shape space becomes numerically tractable improving performance by several orders of magnitude over state-of-the-art. We show that our Riemannian model is well suited for the identification of intra-population variability as well as inter-population differences. In particular, we demonstrate the superiority of the proposed model in experiments on specificity and generalization ability. We further derive a statistical shape descriptor that outperforms the standard Euclidean approach in terms of shape-based classification of morphological disorders. Y1 - 2018 U6 - https://doi.org/10.1016/j.media.2017.09.004 VL - 43 IS - 1 SP - 1 EP - 9 ER - TY - JOUR A1 - Zinser, Max A1 - Zachow, Stefan A1 - Sailer, Hermann T1 - Bimaxillary "rotation advancement" procedures in patients with obstructive sleep apnea: A 3-dimensional airway analysis of morphological changes JF - International Journal of Oral & Maxillofacial Surgery Y1 - 2013 U6 - https://doi.org/10.1016/j.ijom.2012.08.002 VL - 42 IS - 5 SP - 569 EP - 578 ER - TY - JOUR A1 - Saevarsson, Stefan A1 - Sharma, Gulshan A1 - Amiri, Shahram A1 - Montgomery, Sigrun A1 - Ramm, Heiko A1 - Lichti, Derek A1 - Lieck, Robert A1 - Zachow, Stefan A1 - Anglin, Carolyn T1 - Radiological method for measuring patellofemoral tracking and tibiofemoral kinematics before and after total knee replacement JF - Bone and Joint Research Y1 - 2012 UR - http://www.bjr.boneandjoint.org.uk/content/1/10/263.short U6 - https://doi.org/10.1302/2046-3758.110.2000117 VL - 1 IS - 10 SP - 263 EP - 271 ER - TY - GEN A1 - Deuflhard, Peter A1 - Zachow, Stefan T1 - Mathematische Therapie- und Operationsplanung Y1 - 2012 SP - 89 EP - 90 PB - Berliner Wirtschaftsgespräche e.V. CY - Berlin ER - TY - GEN A1 - Bindernagel, Matthias A1 - Kainmüller, Dagmar A1 - Ramm, Heiko A1 - Lamecker, Hans A1 - Zachow, Stefan T1 - Analysis of inter-individual anatomical shape variations of joint structures T2 - Proc. Int. Society of Computer Assisted Orthopaedic Surgery (CAOS) Y1 - 2012 IS - 210 ER - TY - CHAP A1 - Nguyen, The Duy A1 - Lamecker, Hans A1 - Kainmüller, Dagmar A1 - Zachow, Stefan ED - Ayache, Nicholas ED - Delingette, Hervé ED - Golland, Polina ED - Mori, Kensaku T1 - Automatic Detection and Classification of Teeth in CT Data T2 - Proc. Medical Image Computing and Computer Assisted Intervention (MICCAI) Y1 - 2012 VL - 7510 SP - 609 EP - 616 ER - TY - JOUR A1 - Nguyen, The Duy A1 - Kainmüller, Dagmar A1 - Lamecker, Hans A1 - Zachow, Stefan T1 - Automatic bone and tooth detection for CT-based dental implant planning JF - Int. J. Computer Assisted Radiology and Surgery Y1 - 2012 VL - 7, Supplement 1 IS - 1 SP - 293 EP - 294 PB - Springer ER - TY - CHAP A1 - Lamecker, Hans A1 - Zöckler, Maja A1 - Haberl, Hannes A1 - Zachow, Stefan A1 - Hege, Hans-Christian T1 - Statistical shape modeling for craniosynostosis planning T2 - 2nd International Conference Advanced Digital Technology in Head and Neck Reconstruction 2005, Abstract Volume Y1 - 2005 SP - 64 CY - Banff, Alberta ER - TY - JOUR A1 - Westermark, Anders A1 - Zachow, Stefan A1 - Eppley, Barry T1 - 3D osteotomy planning in maxillofacial surgery, including 3D soft tissue prediction JF - Journal of Craniofacial Surgery Y1 - 2005 VL - 16(1) SP - 100 EP - 104 ER - TY - JOUR A1 - Zachow, Stefan A1 - Hege, Hans-Christian A1 - Deuflhard, Peter T1 - Maxillofacial surgery planning with 3D soft tissue prediction - modeling, planning, simulation JF - 2. Int. Conf. on Advanced Digital Technology in Head and Neck Reconstruction, Abstract 33 Y1 - 2005 SP - 64 CY - Banff, Alberta, CA ER -