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Home Members Von Tycowicz, Christoph, Dr.

von Tycowicz, Christoph, Dr.

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Contact

Position
Head of Research Group
Room
4004
Phone
+49 30 84185-350
Email
Email
Website
Personal Homepage
Division
Mathematics of Complex Systems
Department
Visual and Data-Centric Computing
Group
Geometric Data Analysis and Processing

Projects

Projects as Head

WEAR

WEAR

Within this interdisciplinary, collaborative research project, we will develop mathematical and algorithmic solutions for analyzing adzes/axes and grinding stones -...

WEAR
Model-regularized Learning of Complex Dynamical Behavior

Model-Regularized Learning Of Complex Dynamical Behavior

This project is planned to couple machine learning approaches, especially from the field of Deep Learning, with (reduced) ODE models in the sense that the model becomes...

Model-Regularized Learning Of Complex Dynamical Behavior
MATH+ AA1-20

Geometric Learning for Single-Cell RNA Velocity Modeling

Recent advances in Single-Cell RNA sequencing allow to infer both the gene expression of a cell and the so-called "velocity vector" initializing the changes in that...

Geometric Learning for Single-Cell RNA Velocity Modeling
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Manifold-Valued Graph Neural Networks

Geometry-aware, data-analytic approaches improve understanding and assessment of pathophysiological processes. We will derive a new theoretical framework for deep neural...

Manifold-Valued Graph Neural Networks

Projects as Member

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Elastic Shape Analysis on Manifolds

This project deals with spaces of manifold-valued curves and associated shape spaces, and is based on Riemannian tools for elastic shape analysis. We plan to study...

Elastic Shape Analysis on Manifolds
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Cloth Simulation

In cooperation with one of the leading fashion retailers, we investigate and develop methods to accurately simulate the fitting of cloth.For that we develop methods to...

Cloth Simulation
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Image-based Analysis of in vivo Knee Dynamics

IntroductionThe aim of this project is the development of MRI-based methods and technologies for non-invasive in vivo assessment of s 3D soft tissue kinematics in knee...

Image-based Analysis of in vivo Knee Dynamics
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Dynamic Multi-modal Knee Joint Registration

Changes in limb or joint anatomy (e.g., due to injury or surgery) may lead to functional impairment. Accurate measurement of skeletal kinematics provides the key to...

Dynamic Multi-modal Knee Joint Registration

Publications

2025
Bi-invariant Geodesic Regression with Data from the Osteoarthritis Initiative Proc. Information Processing in Medical Imaging (IPMI), Lecture Notes in Computer Science, 2025 (in press) Johannes Schade, Christoph von Tycowicz, Martin Hanik BibTeX
arXiv
Tree inference with varifold distances Geometric Science of Information, Lecture Notes in Computer Science, 2025 (accepted for publication) Elodie Maignant, Tim Conrad, Christoph von Tycowicz BibTeX
arXiv
p-Laplacians for Manifold-valued Hypergraphs Geometric Science of Information, Lecture Notes in Computer Science, 2025 (accepted for publication) Jo Andersson Stokke, Ronny Bergmann, Martin Hanik, Christoph von Tycowicz BibTeX
arXiv
2024
Altered knee kinematics after posterior cruciate single-bundle reconstruction - a comprehensive prospective biomechanical in vivo analysis Frontiers in Bioengineering and Biotechnology, Vol.12, 2024 Stephan Oehme, Philippe Moewis, Heide Boeth, Benjamin Bartek, Christoph von Tycowicz, Rainald Ehrig, Georg Duda, Tobias Jung PDF
BibTeX
DOI
De Casteljau's Algorithm in Geometric Data Analysis: Theory and Application Computer Aided Geometric Design, Vol.110, p. 102288, 2024 Martin Hanik, Esfandiar Navayazdani, Christoph von Tycowicz BibTeX
arXiv
DOI
Joint Reconstruction and Segmentation in Undersampled 3D Knee MRI combining Shape Knowledge and Deep Learning Physics in Medicine and Biology, 69(9), 2024 Andreas Kofler, Christian Wald, Christoph Kolbitsch, Christoph von Tycowicz, Felix Ambellan PDF
BibTeX
DOI
Manifold GCN: Diffusion-based Convolutional Neural Network for Manifold-valued Graphs 2024 (under review) Martin Hanik, Gabriele Steidl, Christoph von Tycowicz BibTeX
arXiv
SHREC 2024: Recognition Of Dynamic Hand Motions Molding Clay Computers & Graphics, Vol.123, p. 104012, 2024 Ben Veldhuijzen, Remco C. Veltkamp, Omar Ikne, Benjamin Allaert, Hazem Wannous, Marco Emporio, Andrea Giachetti, Joseph J. LaViola Jr, Ruiwen He, Halim Benhabiles, Adnane Cabani, Anthony Fleury, Karim Hammoudi, Konstantinos Gavalas, Christoforos Vlachos, Athanasios Papanikolaou, Ioannis Romanelis, Vlassis Fotis, Gerasimos Arvanitis, Konstantinos Moustakas, Martin Hanik, Esfandiar Nava-Yazdani, Christoph von Tycowicz BibTeX
DOI
Shape-based Disease Grading via Functional Maps and Graph Convolutional Networks with Application to Alzheimer’s Disease BMC Medical Imaging, Vol.24, 2024 Julius Mayer, Daniel Baum, Felix Ambellan, Christoph von Tycowicz, for the Alzheimer’s Disease Neuroimaging Initiative BibTeX
DOI
2023
Intrinsic shape analysis in archaeology: A case study on ancient sundials Journal on Computing and Cultural Heritage, 16(4), pp. 1-26, 2023 Martin Hanik, Benjamin Ducke, Hans-Christian Hege, Friederike Fless, Christoph von Tycowicz BibTeX
arXiv
DOI
Predicting Shape Development: A Riemannian Method Shape in Medical Imaging, pp. 211-222, 2023 Doğa Türkseven, Islem Rekik, Christoph von Tycowicz, Martin Hanik BibTeX
arXiv
DOI
Sasaki Metric for Spline Models of Manifold-Valued Trajectories Computer Aided Geometric Design, Vol.104, p. 102220, 2023 Esfandiar Navayazdani, Felix Ambellan, Martin Hanik, Christoph von Tycowicz BibTeX
arXiv
DOI
2022
A Hierarchical Geodesic Model for Longitudinal Analysis on Manifolds Journal of Mathematical Imaging and Vision, 64(4), pp. 395-407, 2022 (preprint available as ZIB-Report 21-39) Esfandiar Nava-Yazdani, Hans-Christian Hege, Christoph von Tycowicz PDF (ZIB-Report)
BibTeX
DOI
A Kendall Shape Space Approach to 3D Shape Estimation from 2D Landmarks Computer Vision -- ECCV 2022, pp. 363-379, 2022 Martha Paskin, Mason Dean, Daniel Baum, Christoph von Tycowicz BibTeX
arXiv
DOI
A Kendall Shape Space Approach to 3D Shape Estimation from 2D Landmarks -- Source Code and Data 2022 Martha Paskin, Daniel Baum, Mason N. Dean, Christoph von Tycowicz BibTeX
DOI
A Nonlinear Hierarchical Model for Longitudinal Data on Manifolds 2022 IEEE 19th International Symposium on Biomedical Imaging (ISBI), pp. 1-5, 2022 Martin Hanik, Hans-Christian Hege, Christoph von Tycowicz BibTeX
arXiv
DOI
A Soft-Correspondence Approach to Shape-based Disease Grading with Graph Convolutional Networks Proceedings of Machine Learning Research, pp. 85-95, Vol.194, 2022 Julius Mayer, Daniel Baum, Felix Ambellan, Christoph von Tycowicz PDF
BibTeX
Bi-invariant Dissimilarity Measures for Sample Distributions in Lie Groups SIAM Journal on Mathematics of Data Science, 4(4), pp. 1223-1249, 2022 Martin Hanik, Hans-Christian Hege, Christoph von Tycowicz BibTeX
DOI
arXiv
Efficient Riemannian Statistical Shape Analysis with Applications in Disease Assessment Doctoral thesis, Freie Universität Berlin, Christof Schütte, Christoph von Tycowicz (Advisors), 2022 Felix Ambellan PDF
BibTeX
DOI
URN
Estimating 3D Shape of the Head Skeleton of Basking Sharks Using Annotated Landmarks on a 2D Image Master's thesis, Freie Universität Berlin, Daniel Baum, Christoph von Tycowicz, Mason N. Dean (Advisors), 2022 Martha Paskin PDF
BibTeX
ICLR 2022 Challenge for Computational Geomerty & Topology: Design and Results Proceedings of Topology, Algebra, and Geometry in Learning, pp. 269-276, Vol.196, Proceedings of Machine Learning Research, 2022 Adele Myers, Saiteja Utpala, Shubham Talbar, Sophia Sanborn, Christian Shewmake, Claire Donnat, Johan Mathe, Umberto Lupo, Rishi Sonthalia, Xinyue Cui, Tom Szwagier, Arthur Pignet, Andri Bergsson, Søren Hauberg, Dmitriy Nielsen, Stefan Sommer, David Klindt, Erik Hermansen, Melvin Vaupel, Benjamin Dunn, Jeffrey Xiong, Noga Aharony, Itsik Pe’er, Felix Ambellan, Martin Hanik, Esfandiar Navayazdani, Christoph von Tycowicz, Nina Miolane PDF
BibTeX
arXiv
On Gradient Formulas in an Algorithm for the Logarithm of the Sasaki Metric ZIB-Report 22-12 Esfandiar Nava-Yazdani, Martin Hanik, Felix Ambellan, Christoph von Tycowicz PDF
BibTeX
URN
PCL insufficient patients with increased translational and rotational passive knee joint laxity have no increased range of anterior–posterior and rotational tibiofemoral motion during level walking Scientific Reports, 12(1), pp. 1-11, 2022 Stephan Oehme, Philippe Moewis, Heide Boeth, Benjamin Bartek, Annika Lippert, Christoph von Tycowicz, Rainald Ehrig, Georg Duda, Tobias Jung PDF
BibTeX
DOI
SHREC 2022 Track on Online Detection of Heterogeneous Gestures Computers and Graphics, Vol.107, pp. 241-251, 2022 Ariel Caputo, Marco Emporio, Andrea Giachetti, Marco Cristani, Guido Borghi, Andrea D'Eusanio, Minh-Quan Le, Hai-Dang Nguyen, Minh-Triet Tran, Felix Ambellan, Martin Hanik, Esfandiar Navayazdani, Christoph von Tycowicz BibTeX
arXiv
DOI
Triangle meshes of shadow-recieving surfaces of ancient sundials 2022 Martin Hanik, Christoph von Tycowicz BibTeX
DOI
2021
Geodesic B-Score for Improved Assessment of Knee Osteoarthritis Proc. Information Processing in Medical Imaging (IPMI), pp. 177-188, Lecture Notes in Computer Science, 2021 (preprint available as ZIB-Report 21-09) Felix Ambellan, Stefan Zachow, Christoph von Tycowicz PDF (ZIB-Report)
BibTeX
arXiv
DOI
Morphomatics: Geometric morphometrics in non-Euclidean shape spaces 2021 Felix Ambellan, Martin Hanik, Christoph von Tycowicz BibTeX
DOI
Patient specific resurfacing implant knee surgery in subjects with early osteoarthritis results in medial pivot and lateral femoral rollback during flexion: A retrospective pilot study Knee Surgery, Sports Traumatology, Arthroscopy, 2021 Philippe Moewis, René Kaiser, Adam Trepczynski, Christoph von Tycowicz, Leonie Krahl, Ansgar Ilg, Johannes Holz, Georg Duda BibTeX
DOI
Rigid Motion Invariant Statistical Shape Modeling based on Discrete Fundamental Forms Medical Image Analysis, Vol.73, 2021 Felix Ambellan, Stefan Zachow, Christoph von Tycowicz BibTeX
DOI
arXiv
SHREC 2021: Retrieval of Cultural Heritage Objects Computers and Graphics, Vol.100, pp. 1-20, 2021 Ivan Sipiran, Patrick Lazo, Cristian Lopez, Nihar Bagewadi, Benjamin Bustos, Hieu Dao, Shankar Gangisetty, Martin Hanik, Ngoc-Phuong Ho-Thi, Mike Holenderski, Dmitri Jarnikov, Arniel Labrada, Stefan Lengauer, Roxane Licandro, Dinh-Huan Nguyen, Thang-Long Nguyen-Ho, Luis A. Pérez Rey, Bang-Dang Pham, Minh-Khoi Pham, Reinhold Preiner, Tobias Schreck, Quoc-Huy Trinh, Loek Tonnaer, Christoph von Tycowicz, The-Anh Vu-Le BibTeX
DOI
2020
Bi-invariant Two-Sample Tests in Lie Groups for Shape Analysis Shape in Medical Imaging, pp. 44-54, 2020 Martin Hanik, Hans-Christian Hege, Christoph von Tycowicz BibTeX
arXiv
DOI
Geodesic Analysis in Kendall's Shape Space with Epidemiological Applications Journal of Mathematical Imaging and Vision, 62(4), pp. 549-559, 2020 Esfandiar Nava-Yazdani, Hans-Christian Hege, T. J. Sullivan, Christoph von Tycowicz BibTeX
DOI
arXiv
Nonlinear Regression on Manifolds for Shape Analysis using Intrinsic Bézier Splines Proc. Medical Image Computing and Computer Assisted Intervention (MICCAI), pp. 617-626, 2020 Martin Hanik, Hans-Christian Hege, Anja Hennemuth, Christoph von Tycowicz BibTeX
arXiv
DOI
Towards Shape-based Knee Osteoarthritis Classification using Graph Convolutional Networks 2020 IEEE 17th International Symposium on Biomedical Imaging (ISBI 2020), 2020 Christoph von Tycowicz BibTeX
arXiv
DOI
2019
A Geodesic Mixed Effects Model in Kendall's Shape Space Proc. 7th MICCAI workshop on Mathematical Foundations of Computational Anatomy (MFCA), pp. 209-218, Vol.11846, Lecture Notes in Computer Science, 2019 (preprint available as ZIB-Report 19-49) Esfandiar Nava-Yazdani, Hans-Christian Hege, Christoph von Tycowicz PDF (ZIB-Report)
BibTeX
DOI
A Surface-Theoretic Approach for Statistical Shape Modeling Proc. Medical Image Computing and Computer Assisted Intervention (MICCAI), Part IV, pp. 21-29, Vol.11767, Lecture Notes in Computer Science, 2019 (preprint available as ZIB-Report 19-20) Felix Ambellan, Stefan Zachow, Christoph von Tycowicz PDF (ZIB-Report)
BibTeX
DOI
An as-invariant-as-possible GL+(3)-based Statistical Shape Model Proc. 7th MICCAI workshop on Mathematical Foundations of Computational Anatomy (MFCA), pp. 219-228, Vol.11846, Lecture Notes in Computer Science, 2019 (preprint available as ZIB-Report 19-46) Felix Ambellan, Stefan Zachow, Christoph von Tycowicz PDF (ZIB-Report)
BibTeX
DOI
Statistical Shape Models - Understanding and Mastering Variation in Anatomy Biomedical Visualisation, Paul M. Rea (Ed.), Springer Nature Switzerland AG, 1, pp. 67-84, 2019, ISBN: 978-3-030-19384-3, ISBN: 978-3-030-19385-0 (preprint available as ZIB-Report 19-13) Felix Ambellan, Hans Lamecker, Christoph von Tycowicz, Stefan Zachow PDF (ZIB-Report)
BibTeX
DOI
2018
A Shape Trajectories Approach to Longitudinal Statistical Analysis ZIB-Report 18-42 Esfandiar Nava-Yazdani, Hans-Christian Hege, Christoph von Tycowicz, T. J. Sullivan PDF
BibTeX
URN
An Efficient Riemannian Statistical Shape Model using Differential Coordinates Medical Image Analysis, 43(1), pp. 1-9, 2018 (preprint available as ZIB-Report 16-69) Christoph von Tycowicz, Felix Ambellan, Anirban Mukhopadhyay, Stefan Zachow PDF (ZIB-Report)
BibTeX
DOI
Ultra-short echo-time (UTE) imaging of the knee with curved surface reconstruction-based extraction of the patellar tendon ISMRM (International Society for Magnetic Resonance in Medicine), 26th Annual Meeting 2018, Paris, France, 2018 Martin Krämer, Marta Maggioni, Christoph von Tycowicz, Nick Brisson, Stefan Zachow, Georg Duda, Jürgen Reichenbach BibTeX
2016
Geometric Flows of Curves in Shape Space for Processing Motion of Deformable Objects Computer Graphics Forum, 35(2), 2016 (preprint available as ZIB-Report 16-29) Christopher Brandt, Christoph von Tycowicz, Klaus Hildebrandt PDF (ZIB-Report)
BibTeX
DOI
2015
Animating articulated characters using wiggly splines ACM SIGGRAPH / Eurographics Symposium on Computer Animation, pp. 101-109, 2015 Christian Schulz, Christoph von Tycowicz, Hans-Peter Seidel, Klaus Hildebrandt BibTeX
DOI
Measuring 3D knee dynamics using center out radial ultra-short echo time trajectories with a low cost experimental setup ISMRM (International Society for Magnetic Resonance in Medicine), 23rd Annual Meeting 2015, Toronto, Canada, 2015 Martin Krämer, Karl-Heinz Herrmann, Heide Boeth, Christoph von Tycowicz, Christian König, Stefan Zachow, Rainald Ehrig, Hans-Christian Hege, Georg Duda, Jürgen Reichenbach BibTeX
Real-time Nonlinear Shape Interpolation ACM Transactions on Graphics, 34(3), pp. 34:1-34:10, 2015 Christoph von Tycowicz, Christian Schulz, Hans-Peter Seidel, Klaus Hildebrandt BibTeX
DOI
Reducing Memory Requirements in Scientific Computing and Optimal Control Multiple Shooting and Time Domain Decomposition Methods, T. Carraro, M. Geiger, S. Koerkel, R. Rannacher (Eds.), pp. 263-287, 2015 Sebastian Götschel, Christoph von Tycowicz, Konrad Polthier, Martin Weiser PDF
BibTeX
2014
Animating Deformable Objects Using Sparse Spacetime Constraints ACM Transactions on Graphics, 33(4), pp. 109:1-109:10, 2014 Christian Schulz, Christoph von Tycowicz, Hans-Peter Seidel, Klaus Hildebrandt BibTeX
DOI
Concepts and Algorithms for the Deformation, Analysis, and Compression of Digital Shapes Doctoral thesis, Freie Universität Berlin, Konrad Polthier (Advisor), 2014 Christoph von Tycowicz PDF
BibTeX
DOI
URN
Geometry processing MATHEON - Mathematics for Key Technologies, EMS Publishing House, pp. 341-355, 2014, ISBN: 978-3-03719-137-8 Konrad Polthier, Alexander Bobenko, Klaus Hildebrandt, Ralf Kornhuber, Christoph von Tycowicz, Harry Yserentant, Günter M. Ziegler BibTeX
DOI
2013
An Efficient Construction of Reduced Deformable Objects ACM Transactions on Graphics, 32(6), pp. 213:1-213:10, 2013 Christoph von Tycowicz, Christian Schulz, Hans-Peter Seidel, Klaus Hildebrandt BibTeX
DOI
2012
Interactive spacetime control of deformable objects ACM Transactions on Graphics, 31(4), pp. 71:1-71:8, 2012 Klaus Hildebrandt, Christian Schulz, Christoph von Tycowicz, Konrad Polthier BibTeX
DOI
Modal Shape Analysis beyond Laplacian Computer Aided Geometric Design, 29(5), pp. 204-2018, 2012 Klaus Hildebrandt, Christian Schulz, Christoph von Tycowicz, Konrad Polthier PDF
BibTeX
DOI
2011
Context-based Coding of Adaptive Multiresolution Meshes Computer Graphics Forum, 30(8), pp. 2231-2245, 2011 Christoph von Tycowicz, Felix Kälberer, Konrad Polthier PDF
BibTeX
DOI
Interactive surface modeling using modal analysis ACM Transactions on Graphics, 30(5), pp. 119:1-119:11, 2011 (preprint available as ) Klaus Hildebrandt, Christian Schulz, Christoph von Tycowicz, Konrad Polthier BibTeX
DOI
2010
Eigenmodes of Surface Energies for Shape Analysis Advances in Geometric Modeling and Processing (Proceedings of Geometric Modeling and Processing 2010), Vol.6130, pp. 296-314, Bernard Mourrain, Scott Schaefer, Guoliang Xu (Eds.), Springer Berlin / Heidelberg, 2010 Klaus Hildebrandt, Christian Schulz, Christoph von Tycowicz, Konrad Polthier PDF
BibTeX
DOI
2009
Lossless Compression of Adaptive Multiresolution Meshes XXII Brazilian Symposium on Computer Graphics and Image Processing, pp. 80-87, 2009 Felix Kälberer, Christoph von Tycowicz, Konrad Polthier PDF
BibTeX
DOI
2008
Measuring and Enhancing the Legibility of GPU-rendered Text Eurographics 2008 Short Papers, pp. 45-48, 2008 Christoph von Tycowicz, Jörn Loviscach BibTeX
2007
Addressing Mobile Phone Diversity in Ubicomp Experience Development UbiComp 2007: Ubiquitous Computing, 9th International Conference, pp. 447-464, Vol.4717, Lecture Notes in Computer Science, 2007 Chris Greenhalgh, Steve Benford, Adam Drozd, Martin Flintham, Alastair Hampshire, Leif Oppermann, Keir Smith, Christoph von Tycowicz BibTeX
DOI
EQUIP2: A Platform for Mobile Phone-based Game Development Concepts and Technologies for Pervasive Games - A Reader for Pervasive Gaming Research, Shaker Verlag, pp. 153-178, 2007, ISBN: 978-3-8322-6223-5 Chris Greenhalgh, Steve Benford, Adam Drozd, Martin Flintham, Alastair Hampshire, Leif Oppermann, Keir Smith, Christoph von Tycowicz BibTeX
Love City: A Text-Driven, Location-Based Mobile Phone Game Played Between 3 Cities Pervasive Gaming Applications - A Reader for Pervasive Gaming Research, Shaker Verlag, pp. 285-312, 2007, ISBN: 978-3-8322-6224-2 Leif Oppermann, R. Jacobs, M. Watkins, R. Shackford, Christoph von Tycowicz, M. Wright, M. Capra, Chris Greenhalgh, Steve Benford BibTeX