Contact

Room
4013
Phone
+49 30 84185-299
Email

Projects

Projects as Member

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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
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Spline Models for Shape Trajectory Analysis

The aim of the project is the development of novel methods for the identification of systematic differences in empirically defined distributions of shape trajectories...

Spline Models for Shape Trajectory Analysis

Publications

2024
De Casteljau's Algorithm in Geometric Data Analysis: Theory and Application 2024 (revision under review) Martin Hanik, Esfandiar Navayazdani, Christoph von Tycowicz BibTeX
arXiv
Hanik, Martin
Manifold GCN: Diffusion-based Convolutional Neural Network for Manifold-valued Graphs 2024 (under review) Martin Hanik, Gabriele Steidl, Christoph von Tycowicz BibTeX
arXiv
Hanik, Martin
2023
Geometric Data Analysis: Advancements of the Statistical Methodology and Applications Doctoral thesis, Freie Universität Berlin, Christof Schütte, Christoph von Tycowicz (Advisors), 2023 Martin Hanik PDF
BibTeX
DOI
URN
Hanik, Martin
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
Hanik, Martin
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
Hanik, Martin
Sasaki Metric for Spline Models of Manifold-Valued Trajectories Computer Aided Geometric Design, Vol.104, 2023 Esfandiar Navayazdani, Felix Ambellan, Martin Hanik, Christoph von Tycowicz BibTeX
arXiv
DOI
Hanik, Martin
2022
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
Hanik, Martin
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
Hanik, Martin
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
Hanik, Martin
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
Hanik, Martin
Predicting cognitive scores with graph neural networks through sample selection learning Brain Imaging and Behavior, Vol.16, pp. 1123-1138, 2022 Martin Hanik, Mehmet Arif Demirtaş, Mohammed Amine Gharsallaoui, Islem Rekik BibTeX
arXiv
DOI
Hanik, Martin
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
Hanik, Martin
Triangle meshes of shadow-recieving surfaces of ancient sundials 2022 Martin Hanik, Christoph von Tycowicz BibTeX
DOI
Hanik, Martin
2021
Morphomatics: Geometric morphometrics in non-Euclidean shape spaces 2021 Felix Ambellan, Martin Hanik, Christoph von Tycowicz BibTeX
DOI
Hanik, Martin
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
Hanik, Martin
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
Hanik, Martin
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
Hanik, Martin