Publications

Journal Articles

  1. & A persistence landscapes toolbox for topological statistics. Journal of Symbolic Computation 78, 91-114.
  2. & Quantifying similarity of pore-geometry in nanoporous materials. Nature Communications 8, 15396
  3. & 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.
  4. & Topological microstructure analysis using persistence landscapes. Physica D: Nonlinear Phenomena 334, 60-81.
  5. & A Boundary Integral Method for Computing Eddy Currents in Non-Manifold Thin Conductors. IEEE Transactions on Magnetics 52(3), 1-4.
  6. & Fast Computation of Cuts With Reduced Support by Solving Maximum Circulation Problems. IEEE Transactions on Magnetics 51(3), 1-4.
  7. & Computing fundamental groups from point clouds. Applicable Algebra in Engineering, Communication and Computing 26(1-2), 27-48.
  8. & Towards topological analysis of high-dimensional feature spaces. Computer Vision and Image Understanding 121, 21-26.
  9. & Topology Preserving Thinning of Cell Complexes. IEEE Transactions on Image Processing 23(10), 4486-4495.
  10. & Simplification of complexes for persistent homology computations. Homology, Homotopy and Applications 16(1), 49-63.
  11. & Lazy Cohomology Generators: A Breakthrough in (Co)homology Computations for CEM. IEEE Transactions on Magnetics 50(2), 577-580.
  12. & Physics inspired algorithms for (co)homology computations of three-dimensional combinatorial manifolds with boundary. Computer Physics Communications 184(10), 2257-2266.
  13. & Cohomology in 3D Magneto-Quasistatics Modeling. Communications in Computational Physics 14(01), 48-76.
  14. & A Randomized Subdivision Algorithm for Determining the Topology of Nodal Sets. SIAM Journal on Scientific Computing 35(5), B1034-B1054.
  15. & A novel technique for cohomology computations in engineering practice. Computer Methods in Applied Mechanics and Engineering 253, 530-542.
  16. & Distributed computation of coverage in sensor networks by homological methods. Applicable Algebra in Engineering, Communication and Computing 23(1-2), 29-58.
  17. A fast algorithm to compute cohomology group generators of orientable 2-manifolds. Pattern Recognition Letters 33(11), 1468-1476.
  18. & Efficient generalized source field computation forh-oriented magnetostatic formulations. The European Physical Journal Applied Physics 53(2), 20801
  19. & Coreduction Homology Algorithm for Regular CW-Complexes. Discrete & Computational Geometry 46(2), 361-388.
  20. & Critical Analysis of the Spanning Tree Techniques. SIAM Journal on Numerical Analysis 48(4), 1601-1624.
  21. & 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. & Computational Topology in Image Context.
  2. & Computational Topology in Image Context.
  3. & Computer Analysis of Images and Patterns.

Conference Contributions

  1. & (2017). T-Ω formulation with higher order hierarchical basis functions for non simply connected conductors. Presented at 2016 IEEE Conference on Electromagnetic Field Computation (CEFC),, 1-1. doi:10.1109/CEFC.2016.7816343
  2. & (2014). Combinatorial invariants of multidimensional topological network data. Presented at 2014 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2014, doi:10.1109/GlobalSIP.2014.7032235