Staff Dr. Behrend Heeren

Mr. Heeren is now at Nexocraft. This page is no longer maintained.

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Teaching

Summer semester 2020

Winter semester 2019/20

Winter semester 2018/19

See teaching activities of the whole group.

Completed Research Projects

4D structural analysis of the sugar beet geometry

Project D4, BMBF competence network.

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Our goal is developing techniques for model-based 3D reconstruction and classification of storage root geometry from tomographic data, i.e. data obtained from laser scans and MRI. We aim in comparing different cultivars subject to different soil, management and environmental conditions. Furthermore we investigate the temporal variation of sugar beet growth by applying and generalizing regression methods to the space of beets.

Our tools are robust and non-supervised, that means they improve previous and-measured methods and corresponding empirical scales. Furthermore, recent results suggest that our methods are capable to statistically separate genotypic from environmental features. Hence the proposed techniques are relevant and effective tools to optimize plant breeding.

A Functional Map Approach to Shape Spaces

German-Israeli Foundation.

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Discrete Riemannian calculus on shape space

Project C05, DFG SFB 1060.

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Geodesic Paths in Shape Space

Project 5, FWF NFN S117.

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Publications

  1. Consistent curvature approximation on Riemannian shape spaces. A. Effland, B. Heeren, M. Rumpf, and B. Wirth. IMA J. Numer. Anal., 42(1):78–106, 2022. BibTeX DOI arXiv
  2. Shape space - a paradigm for character animation in computer graphics. B. Heeren and M. Rumpf. Technical Report 07, Mathematisches Forschungsinstitut Oberwolfach, 2020. BibTeX DOI
  3. Statistical shape analysis of tap roots: a methodological case study on laser scanned sugar beets. B. Heeren, S. Paulus, H. Goldbach, H. Kuhlmann, A.-K. Mahlein, M. Rumpf, and B. Wirth. BMC Bioinformatics, 21:335, 2020. BibTeX DOI PDF
  4. Discrete Riemannian calculus on shell space. B. Heeren, M. Rumpf, M. Wardetzky, and B. Wirth. In R. Nochetto and A. Bonito, editors, Geometric Partial Differential Equations - Part I, volume 21 of Handbook of Numerical Analysis, pages 621–679. Elsevier, 2020. BibTeX DOI
  5. Geometric optimization using nonlinear rotation-invariant coordinates. J. Sassen, B. Heeren, K. Hildebrandt, and M. Rumpf. Computer Aided Geometric Design, 77:101829, 2020. BibTeX DOI arXiv
  6. Elastic correspondence between triangle meshes. D. Ezuz, B. Heeren, O. Azencot, M. Rumpf, and M. Ben-Chen. Comput. Graph. Forum, 38(2):121–134, 2019. presented at EUROGRAPHICS 2019. BibTeX DOI
  7. Variational time discretization of Riemannian splines. B. Heeren, M. Rumpf, and B. Wirth. IMA J. Numer. Anal., 39(1):61–104, 2018. BibTeX PDF arXiv
  8. Principal geodesic analysis in the space of discrete shells. B. Heeren, C. Zhang, M. Rumpf, and W. Smith. Comput. Graph. Forum, 37(5):173–184, 2018. BibTeX PDF DOI
  9. Working memory capacity and the functional connectome - insights from resting-state fMRI and voxelwise eigenvector centrality mapping. S. Markett, M. Reuter, B. Heeren, B. Lachmann, B. Weber, and C. Montag. Brain Imaging and Behavior, 12(1):238–246, 2018. BibTeX
  10. Optimization of the branching pattern in coherent phase transitions. P. W. Dondl, B. Heeren, and M. Rumpf. C. R. Math. Acad. Sci. Paris, 354(6):639–644, 2016. BibTeX DOI arXiv
  11. Numerical Methods in Shape Spaces and Optimal Branching Patterns. B. Heeren. PhD thesis, University of Bonn, 2016. BibTeX
  12. Splines in the space of shells. B. Heeren, M. Rumpf, P. Schröder, M. Wardetzky, and B. Wirth. Comput. Graph. Forum, 35(5):111–120, 2016. BibTeX PDF
  13. Voxelwise eigenvector centrality mapping of the human functional connectome reveals an influence of the catechol-o-methyltransferase val158met polymorphism on the default mode and somatomotor network. S. Markett, C. Montag, B. Heeren, R. Sariyska, B. Lachmann, B. Weber, and M. Reuter. Brain Structure and Function, 221:2755–2765, 2016. BibTeX DOI
  14. Shell PCA: statistical shape modelling in shell space. C. Zhang, B. Heeren, M. Rumpf, and W. Smith. In Proc. of IEEE International Conference on Computer Vision, 1671–1679. 2015. BibTeX PDF DOI
  15. Exploring the geometry of the space of shells. B. Heeren, M. Rumpf, P. Schröder, M. Wardetzky, and B. Wirth. Comput. Graph. Forum, 33(5):247–256, 2014. BibTeX PDF
  16. Discrete geodesic regression in shape space. B. Berkels, P. T. Fletcher, B. Heeren, M. Rumpf, and B. Wirth. In Proc. of International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, volume 8081 of Lecture Notes in Computer Science, 108–122. Springer, 2013. BibTeX PDF DOI
  17. Time-discrete geodesics in the space of shells. B. Heeren, M. Rumpf, M. Wardetzky, and B. Wirth. Comput. Graph. Forum, 31(5):1755–1764, 2012. BibTeX PDF DOI
  18. Geodätische im Raum von Schalenformen. B. Heeren. diploma thesis, Institut für Numerische Simulation, Universität Bonn, 2011. BibTeX