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

Project Persistent skeletons based on papers in AAM 2019 | CGF 2015 | CAIP 2015

2D HoPeS
  • Paper : A higher-dimensional Homologically Persistent Skeleton.
  • Authors : S. Kalisnik, V. Kurlin, D. Lesnik.
  • Reference : Advances in Applied Mathematics, v.102 (2019), p.113-142.
  • PDF [30 pages, 1M]   url [official link]

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cloud   skeleton
  • Paper : A one-dimensional Homologically Persistent Skeleton of an unstructured point cloud in any metric space.
  • Author : V. Kurlin.
  • Reference : 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]   Slides [pdf, 32 pages, 4.8M]   bib [code: beta-version]

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hieroglyph reconstruction hieroglyph reconstruction
  • Paper: A Homologically Persistent Skeleton is a fast and robust descriptor of interest points in 2D images.
  • Author : V. Kurlin.
  • Reference : Lecture Notes in Computer Science, v. 9265 (2015), p. 606-617.
  • (Proceedings of CAIP 2015: Computer Analysis of Images and Patterns).
  • PDF [extended: 26 pages, 3M]   Poster [pdf, 1.1M]   bib [code: beta]  

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