All Stories

  1. Continuous invariant-based asymmetries of periodic crystals quantify deviations from higher symmetry

    Article • IUCrJ, June 2026, International Union of Crystallography

    Vitaliy Kurlin

  2. A new definition of a crystal structure clarifies the past ambiguities in crystallography

    Article • IUCrJ, May 2024, International Union of Crystallography

    Vitaliy Kurlin

  3. A continuous world of 2-dimensional lattices parameterised by geographic-style coordinates.

    Article • Acta Crystallographica Section A Foundations and Advances, January 2023, International Union of Crystallography

    Vitaliy Kurlin

  4. Skeletonisation algorithms with theoretical guarantees for unorganised point clouds with high levels of noise

    Article • Pattern Recognition, July 2021, Elsevier

    Vitaliy Kurlin

  5. Atmospheric Blocking Pattern Recognition in Global Climate Model Simulation Data

    Article • January 2021, Institute of Electrical & Electronics Engineers (IEEE)

    Vitaliy Kurlin

  6. An Isometry Classification of Periodic Point Sets

    Article • January 2021, Springer Science + Business Media

    Vitaliy Kurlin

  7. One class classification as a practical approach for accelerating π–π co-crystal discovery

    Article • Chemical Science, January 2021, Royal Society of Chemistry

    Vitaliy Kurlin

  8. The Earth Mover’s Distance as a Metric for the Space of Inorganic Compositions

    Article • Chemistry of Materials, December 2020, American Chemical Society (ACS)

    Vitaliy Kurlin

  9. The Earth Mover’s Distance as a Metric for the Space of Inorganic Compositions

    Article • August 2020, American Chemical Society (ACS)

    Vitaliy Kurlin

  10. Encoding and topological computation on textile structures

    Article • Computers & Graphics, August 2020, Elsevier

    Vitaliy Kurlin

  11. Synthesis through unification genetic programming

    Article • June 2020, ACM (Association for Computing Machinery)

    Vitaliy Kurlin

  12. Persistence-based resolution-independent meshes of superpixels

    Article • Pattern Recognition Letters, March 2020, Elsevier

    Vitaliy Kurlin

  13. Voronoi‐Based Similarity Distances between Arbitrary Crystal Lattices

    Article • Crystal Research and Technology, February 2020, Wiley

    Vitaliy Kurlin

  14. The Atmospheric River Tracking Method Intercomparison Project (ARTMIP): Quantifying Uncertainties in Atmospheric River Climatology

    Article • Journal of Geophysical Research Atmospheres, December 2019, American Geophysical Union (AGU)

    Vitaliy Kurlin

  15. Topological data analysis and machine learning for recognizing atmospheric river patterns in large climate datasets

    Article • Geoscientific Model Development, February 2019, Copernicus GmbH

    Vitaliy Kurlin

  16. Development of a Reconstruction Method for Major Vortex Structure around Tandem Flapping Wing Object via Vortex Trajectory Method

    Article • January 2019, American Institute of Aeronautics and Astronautics (AIAA)

    Vitaliy Kurlin

  17. A higher-dimensional homologically persistent skeleton

    Article • Advances in Applied Mathematics, January 2019, Elsevier

    Vitaliy Kurlin

  18. Resolution-Independent Meshes of Superpixels

    Article • January 2019, Springer Science + Business Media

    Vitaliy Kurlin

  19. A Persistence-Based Approach to Automatic Detection of Line Segments in Images

    Article • December 2018, Springer Science + Business Media

    Vitaliy Kurlin

  20. Atmospheric River Tracking Method Intercomparison Project (ARTMIP): project goals and experimental design

    Article • Geoscientific Model Development, June 2018, Copernicus GmbH

    Vitaliy Kurlin

  21. Superpixels Optimized by Color and Shape

    Article • January 2018, Springer Science + Business Media

    Vitaliy Kurlin

  22. Convex constrained meshes for superpixel segmentations of images

    Article • Journal of Electronic Imaging, September 2017, SPIE

    Vitaliy Kurlin

  23. Computing Invariants of Knotted Graphs Given by Sequences of Points in 3-Dimensional Space

    Article • January 2017, Springer Science + Business Media

    Vitaliy Kurlin

  24. A fast persistence-based segmentation of noisy 2D clouds with provable guarantees

    Article • Pattern Recognition Letters, November 2016, Elsevier

    Vitaliy Kurlin

  25. A Linear Time Algorithm for Embedding Arbitrary Knotted Graphs into a 3-Page Book

    Article • January 2016, Springer Science + Business Media

    Vitaliy Kurlin

  26. Resolution-Independent Superpixels Based on Convex Constrained Meshes Without Small Angles

    Article • January 2016, Springer Science + Business Media

    Vitaliy Kurlin

  27. A one‐dimensional homologically persistent skeleton of an unstructured point cloud in any metric space

    Article • Computer Graphics Forum, August 2015, Wiley

    Vitaliy Kurlin

  28. A Homologically Persistent Skeleton is a Fast and Robust Descriptor of Interest Points in 2D Images

    Article • January 2015, Springer Science + Business Media

    Vitaliy Kurlin

  29. A Linear Time Algorithm for Visualizing Knotted Structures in 3 Pages

    Article • January 2015, Scitepress

    Vitaliy Kurlin

  30. Computing a configuration skeleton for motion planning of two round robots on a metric graph

    Article • October 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Vitaliy Kurlin

  31. Auto-completion of Contours in Sketches, Maps, and Sparse 2D Images Based on Topological Persistence

    Article • September 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Vitaliy Kurlin

  32. A Fast and Robust Algorithm to Count Topologically Persistent Holes in Noisy Clouds

    Article • June 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Vitaliy Kurlin

  33. Computing braid groups of graphs with applications to robot motion planning

    Article • Homology Homotopy and Applications, January 2012, International Press of Boston

    Vitaliy Kurlin

  34. A 1-parameter approach to links in a solid torus

    Article • Journal of the Mathematical Society of Japan, January 2010, Mathematical Society of Japan (Project Euclid)

    Vitaliy Kurlin

  35. FIBER QUADRISECANTS IN KNOT ISOTOPIES

    Article • Journal of Knot Theory and Its Ramifications, November 2008, World Scientific Pub Co Pte Lt

    Vitaliy Kurlin

  36. All 2–dimensional links in 4–space live inside a universal 3–dimensional polyhedron

    Article • Algebraic & Geometric Topology, July 2008, Mathematical Sciences Publishers

    Vitaliy Kurlin

  37. Gauss paragraphs of classical links and a characterization of virtual link groups

    Article • Mathematical Proceedings of the Cambridge Philosophical Society, July 2008, Cambridge University Press

    Vitaliy Kurlin

  38. PERIPHERALLY SPECIFIED HOMOMORPHS OF LINK GROUPS

    Article • Journal of Knot Theory and Its Ramifications, August 2007, World Scientific Pub Co Pte Lt

    Vitaliy Kurlin

  39. THREE-PAGE ENCODING AND COMPLEXITY THEORY FOR SPATIAL GRAPHS

    Article • Journal of Knot Theory and Its Ramifications, January 2007, World Scientific Pub Co Pte Lt

    Vitaliy Kurlin

  40. Compressed Drinfeld associators

    Article • Journal of Algebra, October 2005, Elsevier

    Vitaliy Kurlin

  41. Three-Page Embeddings of Singular Knots

    Article • Functional Analysis and Its Applications, January 2004, Springer Science + Business Media

    Vitaliy Kurlin

  42. Basic embeddings of graphs and Dynnikov's three-page embedding method

    Article • Russian Mathematical Surveys, April 2003, Steklov Mathematical Institute

    Vitaliy Kurlin

  43. Базисные вложения графов и метод трехстраничных вложений Дынникова

    Article • Успехи математических наук, January 2003, Steklov Mathematical Institute

    Vitaliy Kurlin

  44. Dynnikov Three-Page Diagrams of Spatial 3-Valent Graphs

    Article • Functional Analysis and Its Applications, July 2001, Springer Science + Business Media

    Vitaliy Kurlin

  45. Трехстраничные диаграммы Дынникова заузленных $3$-валентных графов

    Article • Функциональный анализ и его приложения, January 2001, Steklov Mathematical Institute

    Vitaliy Kurlin

  46. Basic embeddings into a product of graphs

    Article • Topology and its Applications, April 2000, Elsevier

    Vitaliy Kurlin

  47. The reduction of framed links to ordinary ones

    Article • Russian Mathematical Surveys, August 1999, Steklov Mathematical Institute

    Vitaliy Kurlin

  48. Редукция оснащенных зацеплений к обычным

    Article • Успехи математических наук, January 1999, Steklov Mathematical Institute

    Vitaliy Kurlin