Dr Vitaliy Kurlin: mathematics & computer science

Current research: topological data analysis. Everything is possible!

E-mail: vitaliy.kurlin(at)gmail.com, University of Liverpool, UK

Selected papers in top journals and conferences

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All papers by research topics and chronologically (Google scholar)

2019 : AAM   CTIC  

2D HoPeS
  • S. Kalisnik, V. Kurlin, D. Lesnik.
  • A higher-dimensional Homologically Persistent Skeleton.
  • Advances in Applied Mathematics, v.102 (2019), p.113-142.
  • PDF [30 pages, 1M]   web [project page]   bib [reference]
persistence segments
  • V. Kurlin, G. Muszynski.
  • A persistence-based approach to automatic detection of line segments in images.
  • Proceedings of CTIC 2019 (Computational Topology in Image Context), to appear in LNCS.
  • PDF [14 pages, 2.7M]  

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2018 : GMD   CI

Atmospheric Rivers
multivariate climate data
  • G. Muszynski, K. Kashinath, V. Kurlin, M. Wehner, Prabhat.
  • Towards a topological pattern detection in fluid and climate simulation data.
  • Proceedings of Climate Informatics workshop 2018.
  • PDF [4 pages, 4.6M]   url [official link]

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2017 : EMMCVPR   JEI   MathVis  

mesh reconstruction
  • V. Kurlin, D. Harvey.
  • Superpixels Optimized by Color and Shape (SOCS).
  • Proceedings of EMMCVPR 2017 (Energy Minimization Methods in Computer Vision and Pattern Recognition), 14 pages, LNCS 10746, Springer.
  • PDF [14 pages, 4.9M]   web [project page]   bib [reference]
Voronoi vs CCM
  • J. Forsythe, V. Kurlin.
  • Convex Constrained Meshes for superpixel segmentations of images.
  • Journal of Electronic Imaging, 26(6), 061609 (13 pages), 2017
    (substantially extended version of the conference paper at ISVC 2016).
  • PDF [30 pages, 6.5M]   web [project page]   bib [reference]
knotted protein

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2016 : ISVC   PRL   CCIS

mesh reconstruction
  • J. Forsythe, V. Kurlin, A. Fitzgibbon.
  • Resolution-independent superpixels based on convex constrained meshes without small angles.
  • Proceedings of ISVC 2016: International Symposium on Visual Computing.
  • Lecture Notes in Computer Science, v. 10072, p. 223-233.
  • PDF [10 pages, 3.7M]   web [project page]   bib [reference]
original image noisy input segmentation
  • V. Kurlin.
  • A fast persistence-based segmentation of noisy 2D clouds with provable guarantees.
  • Pattern Recognition Letters, v. 83 (2016), p. 3-12.
  • PDF [full version: 16 pages, 4.2M]   web [project page]   bib [reference]   url [official]
knotted neuron

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2015 : CGF   CAIP   CCCG   IVAPP

cloud   skeleton
  • V. Kurlin.
  • A one-dimensional Homologically Persistent Skeleton of a point cloud in any metric space.
  • Computer Graphics Forum, v. 34, no. 5 (2015), p. 253-262.
  • A special issue devoted to SGP 2015: Eurographics Symposium on Geometry Processing.
  • PDF [10 pages, 3.2M]   web [project page]   bib [reference]   url [official link]
noisy scan reconstruction
  • V. Kurlin.
  • A Homologically Persistent Skeleton is a fast and robust descriptor of interest points in 2D images.
  • Lecture Notes in Computer Science, v. 9256 (2015), p. 606-617.
  • (Proceedings of CAIP 2015: Computer Analysis of Images and Patterns).
  • PDF [12 pages, 1.2M]   web [project page]   bib [reference]   url [official link]
disk packing
  • H. Edelsbrunner, M. Iglesias-Ham, V. Kurlin.
  • Relaxed disk packing.
  • Proceedings of CCCG 2015: Canadian Conference on Computational Geometry, p.128-135.
  • PDF [8 pages, 390K]   web [arXiv:1505.03402]   url [proceedings in pdf, 30M]
a 3-page embedding of a Hopf graph
  • V. Kurlin.
  • A linear time algorithm for visualizing knotted structures in 3 pages.
  • Proceedings of IVAPP 2015: Information Visualization Theory and Applications, p. 5-16.
  • PDF [12 pages, 2.5M]   web [project page]   bib [reference]   url [official link]

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2014 : CVPR   CTIC   ICRoM

count holes in a cloud
  • V. Kurlin.
  • A fast and robust algorithm to count topologically persistent holes in noisy clouds.
  • Proceedings of CVPR 2014: Computer Vision and Pattern Recognition, p. 1458-1463
    (top 3 conference in Computer Science, the highest h-index conference in any field).
  • pdf [extended: 10 pages, 1.6M]   web [project page]   bib [reference]
noisy input automatic output
  • V. Kurlin.
  • Auto-completion of contours in sketches, maps and sparse 2D images based on topological persistence.
  • Proceedings of workshop CTIC (Computational Topology in Image Context) at SYNASC 2014
  • (Symposium on Symbolic and Numeric Algorithms for Scientific Computing), p. 594-601.
  • PDF [8 pages, 1.1M]   web [project page]   bib [reference]   bib [code: beta-version]
round robots in a metric graph
  • V. Kurlin, M. Safi-Samghabadi.
    Computing a skeleton of the configuration space of 2 round robots on a metric graph.
  • Proceedings of ICRoM 2014: International Conference on Robotics and Mechatronics, p. 723-729.
  • PDF [7 pages, 370K]   Slides [pdf, 32 pages, 1.6M]   url [official link]

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2013 : JAPS Image-A

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2012 : HHA

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2008 - 2010 : earlier work in pure mathematics

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2005 - 2007 : postdoctoral work

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2001 - 2004 : PhD studies

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1999 - 2000 : MSc studies

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Invited lectures at international conferences

2017-2018 | 2016 | 2015 | 2011-2014 | 2007-2010 | 2005-2006 | 1999-2004

Oral presentations given in 2017-2018

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Oral presentations given in 2016

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Oral presentations given in 2015

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Oral presentations given in 2011-2014

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Oral presentations given in 2007-2010

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Oral presentations given in 2005-2006

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Oral presentations given in 1999-2004

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Seminar of the Topological Data Analysis group

The seminar is on Fridays at 13.00 in the 3rd floor meeting room of the MIF.

Autumn 2018 | Spring 2018 | Autumn 2017

Group seminars in Autumn 2018

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Group seminars in Spring 2017

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Group seminars in Autumn 2017

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Smaller research grants, see also larger awards

LMS logo Since 2017 the organiser of the network Applied Algebraic Topology covering 3 meetings per year at the Universities of Liverpool (with Dr Ana Garcia), Queen Mary (G.Bianconi, M.Farber) and Southampton (J.Brodzki, J.Grbić), funded by the London Mathematical Society (value about 4.2K GBP since 2017).
EPSRC logo EPSRC vacation bursaries (value 2×2.7K GBP) at the University of Liverpool for 2nd year undergraduates Simon Hirst (2017) and Gee Jack (2018).
LMS logo Summer bursary of the London Mathematical Society for Philip Smith (value 1.1K GBP) to work on the project Superpixel meshes for faster image and video processing in August - September 2016, closely related to the collaboration with Microsoft Research Cambridge.
IAS image Christopherson/Knott fellowship at Institute of Advanced Study (left after moving to Liverpool, UK). Title : Optimal meshes of superpixels for faster image processing (7.5K GBP 3-month teaching replacement).
Alan Turing Institute logo Conference grant (3K GBP, jointly with M.Grinfeld and M.Haw) to run the ATI strategic workshop on 14 March 2016 : Topological Data Analysis in Materials Science and Engineering.
LMS logo Travel grant of the London Mathematical Society to give the contributed 20-min talk Topological Computer Vision in the section Mathematical Image and Signal Processing at 7ECM (European Congress of Mathematicians) at TU Berlin on 18-22 July 2016.
ESF logo Travel grant (1.7K Euros) by the ACAT (Applied and Computational Algebraic Topology) network of ESF (European Science Foundation) to visit IST Austria (March 2015).
EC logo INTAS PhD Fellowship (10K Euros) at Moscow State University (Russia), March 2001 - February 2003, covered research collaboration at Universities of Montpellier II, Liverpool, Dijon, Toulouse III, Paris VII.

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Co-authors in the alphabetical order

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