Publications

Journal Articles

  1. Dlotko, P., Kapidani, B., Pitassi, S., Specogna, R. Fake Conductivity or Cohomology: Which to Use When Solving Eddy Current Problems With $h$ -Formulations? IEEE Transactions on Magnetics 55 6 1 4
  2. Dlotko, P., Wanner, T. Rigorous cubical approximation and persistent homology of continuous functions Computers & Mathematics with Applications 75 5 1648 1666
  3. Lee, Y., Barthel, S., Dłotko, P., Moosavi, S., Hess, K., Smit, B., Dlotko, P. High-Throughput Screening Approach for Nanoporous Materials Genome Using Topological Data Analysis: Application to Zeolites Journal of Chemical Theory and Computation 14 8 4427 4437
  4. Kanari, L., Dłotko, P., Scolamiero, M., Levi, R., Shillcock, J., Hess, K., Markram, H., Dlotko, P. A Topological Representation of Branching Neuronal Morphologies Neuroinformatics 16 1 3 13
  5. Reimann, M., Nolte, M., Scolamiero, M., Turner, K., Perin, R., Chindemi, G., Dłotko, P., Levi, R., Hess, K., Markram, H., Dlotko, P. Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function Frontiers in Computational Neuroscience 11
  6. Bubenik, P., Dłotko, P., Dlotko, P. A persistence landscapes toolbox for topological statistics Journal of Symbolic Computation 78 91 114
  7. Lee, Y., Barthel, S., Dłotko, P., Moosavi, S., Hess, K., Smit, B., Dlotko, P. Quantifying similarity of pore-geometry in nanoporous materials Nature Communications 8 15396
  8. Dlotko, P., Wanner, T. Topological microstructure analysis using persistence landscapes Physica D: Nonlinear Phenomena 334 60 81
  9. Kapidani, B., Dlotko, P., Alotto, P., Bettini, P., Specogna, R., Dlotko, P. Computation of Relative 1-Cohomology Generators From a 1-Homology Basis for Eddy Currents Boundary Integral Formulations IEEE Transactions on Magnetics 52 10 1 6
  10. Bettini, P., Dlotko, P., Specogna, R., Dlotko, P. A Boundary Integral Method for Computing Eddy Currents in Non-Manifold Thin Conductors IEEE Transactions on Magnetics 52 3 1 4
  11. Dłotko, P., Kapidani, B., Specogna, R., Dlotko, P. Fast Computation of Cuts With Reduced Support by Solving Maximum Circulation Problems IEEE Transactions on Magnetics 51 3 1 4
  12. Brendel, P., Dłotko, P., Ellis, G., Juda, M., Mrozek, M., Dlotko, P. Computing fundamental groups from point clouds Applicable Algebra in Engineering, Communication and Computing 26 1-2 27 48
  13. Wagner, H., Dłotko, P., Dlotko, P. Towards topological analysis of high-dimensional feature spaces Computer Vision and Image Understanding 121 21 26
  14. Dlotko, P., Specogna, R., Dlotko, P. Topology Preserving Thinning of Cell Complexes IEEE Transactions on Image Processing 23 10 4486 4495
  15. Dlotko, P., Specogna, R., Dlotko, P. Lazy Cohomology Generators: A Breakthrough in (Co)homology Computations for CEM IEEE Transactions on Magnetics 50 2 577 580
  16. Dłotko, P., Wagner, H., Dlotko, P. Simplification of complexes for persistent homology computations Homology, Homotopy and Applications 16 1 49 63
  17. Dłotko, P., Specogna, R., Dlotko, P. Physics inspired algorithms for (co)homology computations of three-dimensional combinatorial manifolds with boundary Computer Physics Communications 184 10 2257 2266
  18. Dłotko, P., Specogna, R., Dlotko, P. Cohomology in 3D Magneto-Quasistatics Modeling Communications in Computational Physics 14 01 48 76
  19. Cochran, G., Wanner, T., Dlotko, P., Dlotko, P. A Randomized Subdivision Algorithm for Determining the Topology of Nodal Sets SIAM Journal on Scientific Computing 35 5 B1034 B1054
  20. Dłotko, P., Specogna, R., Dlotko, P. A novel technique for cohomology computations in engineering practice Computer Methods in Applied Mechanics and Engineering 253 530 542
  21. Dłotko, P., Ghrist, R., Juda, M., Mrozek, M., Dlotko, P. Distributed computation of coverage in sensor networks by homological methods Applicable Algebra in Engineering, Communication and Computing 23 1-2 29 58
  22. Dłotko, P., Dlotko, P. A fast algorithm to compute cohomology group generators of orientable 2-manifolds Pattern Recognition Letters 33 11 1468 1476
  23. Dłotko, P., Specogna, R., Dlotko, P. Efficient generalized source field computation forh-oriented magnetostatic formulations The European Physical Journal Applied Physics 53 2 20801
  24. Dłotko, P., Kaczynski, T., Mrozek, M., Wanner, T., Dlotko, P. Coreduction Homology Algorithm for Regular CW-Complexes Discrete & Computational Geometry 46 2 361 388
  25. Dłotko, P., Specogna, R., Dlotko, P. Critical Analysis of the Spanning Tree Techniques SIAM Journal on Numerical Analysis 48 4 1601 1624
  26. Dłotko, P., Specogna, R., Trevisan, F., Dlotko, P. Automatic generation of cuts on large-sized meshes for the T–Ω geometric eddy-current formulation Computer Methods in Applied Mechanics and Engineering 198 47-48 3765 3781

Books

  1. Brendel, P., Dłotko, P., Mrozek, M., Zelazna, N., Dlotko, P. Computational Topology in Image Context
  2. Dłotko, P., Kropatsch, W., Wagner, H., Dlotko, P. Computer Analysis of Images and Patterns

Conference Contributions

  1. Khebir, A., Dlotko, P., Kapidani, B., Kouki, A., Specogna, R. T-Ω formulation with higher order hierarchical basis functions for non simply connected conductors 2016 IEEE Conference on Electromagnetic Field Computation (CEFC) 1 1
  2. Henselman, G., Dlotko, P., Dlotko, P. Combinatorial invariants of multidimensional topological network data 2014 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2014