2024
Smith, P., McLauchlin, A., Franklin, T., Yan, P., Cunliffe, E., Hasell, T., . . . McDonald, T. O. (2024). A data-driven analysis of HDPE post-consumer recyclate for sustainable bottle packaging. Resources, Conservation and Recycling, 205, 107538. doi:10.1016/j.resconrec.2024.107538DOI: 10.1016/j.resconrec.2024.107538
Accelerating Material Property Prediction using Generically Complete Isometry Invariants. (Preprint)
Kurlin, V. (2024). Polynomial-Time Algorithms for Continuous Metrics on Atomic Clouds of Unordered Points. Match - Communications in Mathematical and in Computer Chemistry, 91(1), 79-108. doi:10.46793/match.91-1.079kDOI: 10.46793/match.91-1.079k
2023
Schwalbe-Koda, D., Widdowson, D. E., Pham, T. A., & Kurlin, V. A. (2023). Inorganic synthesis-structure maps in zeolites with machine learning and crystallographic distances. Digital Discovery. doi:10.1039/d3dd00134bDOI: 10.1039/d3dd00134b
Entropic Trust Region for Densest Crystallographic Symmetry Group Packings. (Journal article)
Torda, M., Goulermas, J. Y., Púcek, R., & Kurlin, V. (2023). Entropic Trust Region for Densest Crystallographic Symmetry Group Packings.. SIAM J. Sci. Comput., 45. doi:10.1137/22M147983XDOI: 10.1137/22M147983X
Density Functions of Periodic Sequences of Continuous Events. (Journal article)
Anosova, O., & Kurlin, V. (2023). Density functions of periodic sequences of continuous events. Journal of Mathematical Imaging and Vision.DOI: 10.1007/s10851-023-01150-1
Elkin, Y., & Kurlin, V. (2023). A New Near-linear Time Algorithm For k-Nearest Neighbor Search Using a Compressed Cover Tree. In Proceedings of Machine Learning Research Vol. 202 (pp. 9267-9311).
Bright, M., Cooper, A. I., & Kurlin, V. (2023). Geographic style maps for two-dimensional lattices. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 79, 1-13. doi:10.1107/S2053273322010075DOI: 10.1107/S2053273322010075
Widdowson, D., & Kurlin, V. (2023). Recognizing Rigid Patterns of Unlabeled Point Clouds by Complete and Continuous Isometry Invariants with no False Negatives and no False Positives. In 2023 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE. doi:10.1109/cvpr52729.2023.00129DOI: 10.1109/cvpr52729.2023.00129
Simplexwise Distance Distributions for finite spaces with metrics and measures. (Journal article)
Kurlin, V. (2023). Simplexwise Distance Distributions for finite spaces with metrics and measures.. CoRR, abs/2303.14161.
The strength of a simplex is the key to a continuous isometry classification of Euclidean clouds of unlabelled points. (Journal article)
Kurlin, V. (2023). The strength of a simplex is the key to a continuous isometry classification of Euclidean clouds of unlabelled points.. CoRR, abs/2303.13486.
2022
Hargreaves, C. J. J., Gaultois, M. W. W., Daniels, L. M. M., Watts, E. J. J., Kurlin, V. A. A., Moran, M., . . . Dyer, M. S. S. (2023). A database of experimentally measured lithium solid electrolyte conductivities evaluated with machine learning. NPJ COMPUTATIONAL MATERIALS, 9(1). doi:10.1038/s41524-022-00951-zDOI: 10.1038/s41524-022-00951-z
Kurlin, V. (2022). Mathematics of 2-Dimensional Lattices. FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. doi:10.1007/s10208-022-09601-8DOI: 10.1007/s10208-022-09601-8
Vriza, A., Sovago, I., Widdowson, D., Kurlin, V., Wood, P. A., & Dyer, M. S. (n.d.). Molecular set transformer: attending to the co-crystals in the Cambridge structural database. Digital Discovery, 1(6), 834-850. doi:10.1039/d2dd00068gDOI: 10.1039/d2dd00068g
Torda, M., Goulermas, J. Y., Kurlin, V., & Day, G. M. (2022). Densest plane group packings of regular polygons. PHYSICAL REVIEW E, 106(5). doi:10.1103/PhysRevE.106.054603DOI: 10.1103/PhysRevE.106.054603
Anosova, O., & Kurlin, V. (2022). Density Functions of Periodic Sequences. In Unknown Conference (pp. 395-408). Springer International Publishing. doi:10.1007/978-3-031-19897-7_31DOI: 10.1007/978-3-031-19897-7_31
Topological Methods for Pattern Detection in Climate Data (Chapter)
Muszynski, G., Kurlin, V., Morozov, D., Wehner, M., Kashinath, K., & Ram, P. (2022). Topological Methods for Pattern Detection in Climate Data. In Unknown Book (pp. 221-235). Wiley. doi:10.1002/9781119467557.ch13DOI: 10.1002/9781119467557.ch13
Kurlin, V. (2022). Algorithms for automated detection of (near-)duplicate periodic crystals. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 78 (pp. E775-E776). Retrieved from https://www.webofscience.com/
Bright, M., Kurlin, V., & Cooper, A. (2022). Mapping the Space of Two-Dimensional Lattices. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 78 (pp. E723-E724). doi:10.1107/S2053273322090568DOI: 10.1107/S2053273322090568
The Crystal Isometry Principle (Conference Paper)
Kurlin, V., Widdowson, D., Cooper, A., & Bright, M. (2022). The Crystal Isometry Principle. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 78 (pp. E293-E294). Retrieved from https://www.webofscience.com/
Kurlin, V., & Widdowson, D. (2022). The pointwise distance distribution is stronger than the pair distribution function. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 78 (pp. E745). doi:10.1107/S2053273322090386DOI: 10.1107/S2053273322090386
Elkin, Y., & Kurlin, V. (2022). Counterexamples expose gaps in the proof of time complexity for cover trees introduced in 2006. Retrieved from http://arxiv.org/abs/2208.09447v1
Bright, M., Anosova, O., & Kurlin, V. (2022). A Formula for the Linking Number in Terms of Isometry Invariants of Straight Line Segments. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 62(8), 1217-1233. doi:10.1134/S0965542522080024DOI: 10.1134/S0965542522080024
Ropers, J., Mosca, M. M., Anosova, O., Kurlin, V., & Cooper, A. I. (2022). Fast Predictions of Lattice Energies by Continuous Isometry Invariants of Crystal Structures. In Unknown Conference (pp. 178-192). Springer International Publishing. doi:10.1007/978-3-031-12285-9_11DOI: 10.1007/978-3-031-12285-9_11
Zhu, Q., Johal, J., Widdowson, D. E., Pang, Z., Li, B., Kane, C. M., . . . Cooper, A. I. (2022). Analogy Powered by Prediction and Structural Invariants: Computationally Led Discovery of a Mesoporous Hydrogen-Bonded Organic Cage Crystal. JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 144(22), 9893-9901. doi:10.1021/jacs.2c02653DOI: 10.1021/jacs.2c02653
Widdowson, D., Mosca, M., Pulido, A., Kurlin, V., & Cooper, A. I. (2022). Average Minimum Distances of periodic point sets are fundamental invariants for mapping all periodic crystals.. MATCH Communications in Mathematical and in Computer Chemistry, 87(3), 529-559. doi:10.46793/match.87-3.529WDOI: 10.46793/match.87-3.529W
Smith, P., & Kurlin, V. (2022). A Practical Algorithm for Degree-<i>k</i> Voronoi Domains of Three-Dimensional Periodic Point Sets. In ADVANCES IN VISUAL COMPUTING, ISVC 2022, PT I Vol. 13598 (pp. 377-391). doi:10.1007/978-3-031-20713-6_29DOI: 10.1007/978-3-031-20713-6_29
A computable and continuous metric on isometry classes of high-dimensional periodic sequences. (Journal article)
Kurlin, V. (2022). A computable and continuous metric on isometry classes of high-dimensional periodic sequences.. CoRR, abs/2205.04388.
Compact Graph Representation of molecular crystals using Point-wise Distance Distributions. (Preprint)
Computable complete invariants for finite clouds of unlabeled points under Euclidean isometry. (Journal article)
Kurlin, V. (2022). Computable complete invariants for finite clouds of unlabeled points under Euclidean isometry.. CoRR, abs/2207.08502.
Elkin, Y., & Kurlin, V. (2022). Counterexamples expose gaps in the proof of time complexity for cover trees introduced in 2006. In 2022 IEEE WORKSHOP ON TOPOLOGICAL DATA ANALYSIS AND VISUALIZATION (TOPOINVIS 2022) (pp. 9-17). doi:10.1109/TopoInVis57755.2022.00008DOI: 10.1109/TopoInVis57755.2022.00008
Density Functions of Periodic Sequences. (Conference Paper)
Anosova, O., & Kurlin, V. (2022). Density Functions of Periodic Sequences.. In É. Baudrier, B. Naegel, A. Krähenbühl, & M. Tajine (Eds.), DGMM Vol. 13493 (pp. 395-408). Springer. Retrieved from https://doi.org/10.1007/978-3-031-19897-7
Families of point sets with identical 1D persistence. (Journal article)
Smith, P., & Kurlin, V. (2022). Families of point sets with identical 1D persistence.. CoRR, abs/2202.00577.
Paired compressed cover trees guarantee a near linear parametrized complexity for all k-nearest neighbors search in an arbitrary metric space. (Journal article)
Elkin, Y., & Kurlin, V. (2022). Paired compressed cover trees guarantee a near linear parametrized complexity for all k-nearest neighbors search in an arbitrary metric space.. CoRR, abs/2201.06553.
Widdowson, D. E., & Kurlin, V. A. (2022). Resolving the data ambiguity for periodic crystals. In Advances in Neural Information Processing Systems Vol. 35.
2021
Elkin, Y., & Kurlin, V. (2021). Isometry Invariant Shape Recognition of Projectively Perturbed Point Clouds by the Mergegram Extending 0D Persistence. MATHEMATICS, 9(17). doi:10.3390/math9172121DOI: 10.3390/math9172121
Isometry invariant shape recognition of projectively perturbed point clouds by the mergegram extending 0D persistence (Preprint)
DOI: 10.48550/arxiv.2111.04617
Introduction to invariant-based machine learning for periodic crystals (Conference Paper)
Ropers, J., Mosca, M. M., Anosova, O., & Kurlin, V. (2021). Introduction to invariant-based machine learning for periodic crystals. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 77 (pp. C671). Retrieved from https://www.webofscience.com/
Muszynski, G., Prabhat., Balewski, J., Kashinath, K., Wehner, M., Kurlin, V., & SOC, I. C. (2021). Atmospheric Blocking Pattern Recognition in Global Climate Model Simulation Data. In 2020 25TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION (ICPR) (pp. 677-684). doi:10.1109/ICPR48806.2021.9412736DOI: 10.1109/ICPR48806.2021.9412736
A Fast Approximate Skeleton with Guarantees for Any Cloud of Points in a Euclidean Space (Chapter)
Elkin, Y., Liu, D., & Kurlin, V. (2021). A Fast Approximate Skeleton with Guarantees for Any Cloud of Points in a Euclidean Space. In Topological Methods in Data Analysis and Visualization VI (pp. 245-269). Springer Nature. doi:10.1007/978-3-030-83500-2_13DOI: 10.1007/978-3-030-83500-2_13
A Proof of the Invariant-Based Formula for the Linking Number and Its Asymptotic Behaviour (Chapter)
Bright, M., Anosova, O., & Kurlin, V. (2021). A Proof of the Invariant-Based Formula for the Linking Number and Its Asymptotic Behaviour. In Numerical Geometry, Grid Generation and Scientific Computing (Vol. 143, pp. 37-60). Springer Nature. doi:10.1007/978-3-030-76798-3_3DOI: 10.1007/978-3-030-76798-3_3
Anosova, O., & Kurlin, V. (2021). An Isometry Classification of Periodic Point Sets. In Unknown Conference (pp. 229-241). Springer International Publishing. doi:10.1007/978-3-030-76657-3_16DOI: 10.1007/978-3-030-76657-3_16
Easily computable continuous metrics on the space of isometry classes of all 2-dimensional lattices. (Journal article)
Bright, M., Cooper, A. I., & Kurlin, V. (2021). Easily computable continuous metrics on the space of isometry classes of all 2-dimensional lattices.. CoRR, abs/2109.10885.
Elkin, Y., & Kurlin, V. (2021). Isometry invariant shape recognition of projectively perturbed point clouds by the mergegram extending 0D persistence.. CoRR, abs/2111.04617.
Widdowson, D., & Kurlin, V. (2021). Pointwise distance distributions of periodic sets.. CoRR, abs/2108.04798.
2020
Hargreaves, C. J., Dyer, M. S., Gaultois, M. W., Kurlin, V. A., & Rosseinsky, M. J. (2020). The Earth Mover’s Distance as a Metric for the Space of Inorganic Compositions. Chemistry of Materials, 32(24), 10610-10620. doi:10.1021/acs.chemmater.0c03381DOI: 10.1021/acs.chemmater.0c03381
Vriza, A., Canaj, A. B., Vismara, R., Kershaw Cook, L. J., Manning, T. D., Gaultois, M. W., . . . Rosseinsky, M. J. (n.d.). One class classification as a practical approach for accelerating π–π co-crystal discovery. Chemical Science. doi:10.1039/d0sc04263cDOI: 10.1039/d0sc04263c
Widdowson, D., Mosca, M., Pulido, A., Kurlin, V., & Cooper, A. I. (2020). The asymptotic behaviour and a near linear time algorithm for isometry invariants of periodic sets. Retrieved from http://arxiv.org/abs/2009.02488v4
The Earth Mover’s Distance as a Metric for the Space of Inorganic Compositions (Journal article)
Hargreaves, C., Dyer, M., Gaultois, M., Kurlin, V., & Rosseinsky, M. J. (2020). The Earth Mover’s Distance as a Metric for the Space of Inorganic Compositions. doi:10.26434/chemrxiv.12777566.v1DOI: 10.26434/chemrxiv.12777566.v1
Bright, M., & Kurlin, V. (2020). Encoding and topological computation on textile structures. Computers & Graphics, 90, 51-61. doi:10.1016/j.cag.2020.05.014DOI: 10.1016/j.cag.2020.05.014
Welsch, T., & Kurlin, V. (2020). Synthesis through Unification Genetic Programming. In GECCO'20: PROCEEDINGS OF THE 2020 GENETIC AND EVOLUTIONARY COMPUTATION CONFERENCE (pp. 1029-1036). doi:10.1145/3377930.3390208DOI: 10.1145/3377930.3390208
Mosca, M. M., & Kurlin, V. (2020). Voronoi-Based Similarity Distances between Arbitrary Crystal Lattices. CRYSTAL RESEARCH AND TECHNOLOGY, 55(5). doi:10.1002/crat.201900197DOI: 10.1002/crat.201900197
Kurlin, V., & Muszynski, G. (2020). Persistence-based resolution-independent meshes of superpixels. PATTERN RECOGNITION LETTERS, 131, 300-306. doi:10.1016/j.patrec.2020.01.014DOI: 10.1016/j.patrec.2020.01.014
Siddiqui, M. A., & Kurlin, V. (2020). Polygonal Meshes of Highly Noisy Images based on a New Symmetric Thinning Algorithm with Theoretical Guarantees. In VISAPP: PROCEEDINGS OF THE 15TH INTERNATIONAL JOINT CONFERENCE ON COMPUTER VISION, IMAGING AND COMPUTER GRAPHICS THEORY AND APPLICATIONS, VOL 4: VISAPP (pp. 137-146). doi:10.5220/0009340301370146DOI: 10.5220/0009340301370146
The Mergegram of a Dendrogram and Its Stability. (Conference Paper)
Elkin, Y., & Kurlin, V. (2020). The Mergegram of a Dendrogram and Its Stability.. In J. Esparza, & D. Král' (Eds.), MFCS Vol. 170 (pp. 32:1). Schloss Dagstuhl - Leibniz-Zentrum für Informatik. Retrieved from https://www.dagstuhl.de/dagpub/978-3-95977-159-7
2019
Rutz, J. J., Shields, C. A., Lora, J. M., Payne, A. E., Guan, B., Ullrich, P., . . . Viale, M. (n.d.). The Atmospheric River Tracking Method Intercomparison Project (ARTMIP): Quantifying Uncertainties in Atmospheric River Climatology. Journal of Geophysical Research: Atmospheres. doi:10.1029/2019jd030936DOI: 10.1029/2019jd030936
Kurlin, V., & Smith, P. (2020). Resolution-Independent Meshes of Superpixels. In ADVANCES IN VISUAL COMPUTING, ISVC 2019, PT I Vol. 11844 (pp. 194-205). doi:10.1007/978-3-030-33720-9_15DOI: 10.1007/978-3-030-33720-9_15
Kurlin, V. (2019). HOW TO CORRECTLY SAMPLE UNIT CELLS IN COMPUTER SIMULATIONS OF CRYSTAL STRUCTURES. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 75 (pp. E547). doi:10.1107/S2053273319090090DOI: 10.1107/S2053273319090090
Kurlin, V. (2019). MATHEMATICAL JUSTIFICATIONS FOR CRYSTAL SYSTEMS, BRAVAIS LATTICES AND A NEW CONTINUOUS CLASSIFICATION. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 75 (pp. E768). doi:10.1107/S2053273319087886DOI: 10.1107/S2053273319087886
Muszynski, G., Kashinath, K., Kurlin, V., Wehner, M., & Prabhat. (2019). Topological data analysis and machine learning for recognizing atmospheric river patterns in large climate datasets. GEOSCIENTIFIC MODEL DEVELOPMENT, 12(2), 613-628. doi:10.5194/gmd-12-613-2019DOI: 10.5194/gmd-12-613-2019
Skeletonisation Algorithms with Theoretical Guarantees for Unorganised Point Clouds with High Levels of Noise (Preprint)
DOI: 10.48550/arxiv.1901.03319
Smith, P., & Kurlin, V. (2021). Skeletonisation algorithms with theoretical guarantees for unorganised point clouds with high levels of noise. PATTERN RECOGNITION, 115. doi:10.1016/j.patcog.2021.107902DOI: 10.1016/j.patcog.2021.107902
Correction: Development of a Reconstruction Method for Major Vortex Structure around Tandem Flapping Wing Object via Vortex Trajectory Method (Conference Paper)
Ban, N., Yamazaki, W., & Kurlin, V. (2019). Correction: Development of a Reconstruction Method for Major Vortex Structure around Tandem Flapping Wing Object via Vortex Trajectory Method. In AIAA Scitech 2019 Forum. American Institute of Aeronautics and Astronautics. doi:10.2514/6.2019-2224.c1DOI: 10.2514/6.2019-2224.c1
Ban, N., Yamazaki, W., & Kurlin, V. (2019). Development of a Reconstruction Method for Major Vortex Structure around Tandem Flapping Wing Object via Vortex Trajectory Method. In AIAA Scitech 2019 Forum. American Institute of Aeronautics and Astronautics. doi:10.2514/6.2019-2224DOI: 10.2514/6.2019-2224
Kurlin, V., & Muszynski, G. (2019). A Persistence-Based Approach to Automatic Detection of Line Segments in Images. In COMPUTATIONAL TOPOLOGY IN IMAGE CONTEXT, CTIC 2019 Vol. 11382 (pp. 137-150). doi:10.1007/978-3-030-10828-1_11DOI: 10.1007/978-3-030-10828-1_11
Resolution-Independent Meshes of Superpixels. (Conference Paper)
Kurlin, V., & Smith, P. (2019). Resolution-Independent Meshes of Superpixels.. In G. Bebis, R. Boyle, B. Parvin, D. Koracin, D. Ushizima, S. Chai, . . . P. Xu (Eds.), ISVC (1) Vol. 11844 (pp. 194-205). Springer. Retrieved from https://doi.org/10.1007/978-3-030-33720-9
2018
Muszynski, G., Kashinath, K., Kurlin, V., Wehner, M., & Prabhat. (2018, September 19). Towards a topological pattern detection in fluid and climate simulation data. In Climate Informatics (pp. 4 pages). Boulder, Colorado, US. Retrieved from https://www2.cisl.ucar.edu/
Kurlin, V., Muszynski, G., Wehner, M., Shields, C., Rutz, J., Leung, L. -Y., & Ralph, M. (2018). Atmospheric River Tracking Method Intercomparison Project (ARTMIP): project goals and experimental design. Geoscientific Model Development, 11(6), 2455-2474. doi:10.5194/gmd-11-2455-2018DOI: 10.5194/gmd-11-2455-2018
Muszynski, G., Kashinath, K., Kurlin, V., & Wehner, M. (2018). Topological Data Analysis and Machine Learning for RecognizingAtmospheric River Patterns in Large Climate Datasets. doi:10.5194/gmd-2018-53DOI: 10.5194/gmd-2018-53
Kurlin, V., & Harvey, D. (2018). Superpixels optimized by color and shape. In Lecture Notes in Computer Science (pp. 14 pages). Venice, Italy: Springer Nature. Retrieved from http://kurlin.org/
2017
Convex constrained meshes for superpixel segmentations of images. (Journal article)
Forsythe, J., & Kurlin, V. (2017). Convex constrained meshes for superpixel segmentations of images. JOURNAL OF ELECTRONIC IMAGING, 26(6). doi:10.1117/1.JEI.26.6.061609DOI: 10.1117/1.JEI.26.6.061609
A Higher-Dimensional Homologically Persistent Skeleton (Journal article)
Kalisnik, S., Kurlin, V., & Lesnik, D. (2019). A Higher-Dimensional Homologically Persistent Skeleton. Advances in Applied Mathematics, 102(January 2019), 113-142. doi:10.1016/j.aam.2018.07.004DOI: 10.1016/j.aam.2018.07.004
Kurlin, V. (2017). Computing Invariants of Knotted Graphs Given by Sequences of Points in 3-Dimensional Space. In Mathematics and Visualization (pp. 349-363). Springer International Publishing. doi:10.1007/978-3-319-44684-4_21DOI: 10.1007/978-3-319-44684-4_21
Forsythe, J., & Kurlin, V. (2017). Convex constrained meshes for superpixel segmentations of images.. J. Electronic Imaging, 26, 61609.
2016
Kurlin, V., Forsythe, J., & Fitzgibbon, A. (2016). Resolution-independent superpixels based on convex constrained meshes without small angles. In Lecture Notes in Computer Science. Las-Vegas, USA: Springer Verlag (Germany): Series. doi:10.1007/978-3-319-50835-1_21DOI: 10.1007/978-3-319-50835-1_21
Kurlin, V. (2016). A fast persistence-based segmentation of noisy 2D clouds with provable guarantees. Pattern Recognition Letters, 83(1), 3-12. doi:10.1016/j.patrec.2015.11.025DOI: 10.1016/j.patrec.2015.11.025
A Linear Time Algorithm for Embedding Arbitrary Knotted Graphs into a 3-Page Book (Chapter)
Kurlin, V., & Smithers, C. (2016). A Linear Time Algorithm for Embedding Arbitrary Knotted Graphs into a 3-Page Book. In Unknown Book (Vol. 598, pp. 99-122). doi:10.1007/978-3-319-29971-6_6DOI: 10.1007/978-3-319-29971-6_6
2015
Edelsbrunner, H., Iglesias-Ham, M., & Kurlin, V. (2015). Relaxed Disk Packing. Retrieved from http://arxiv.org/abs/1505.03402v1
Auto-completion of Contours in Sketches, Maps and Sparse 2D Images Based on Topological Persistence (Conference Paper)
Kurlin, V. (2014). Auto-completion of Contours in Sketches, Maps and Sparse 2D Images Based on Topological Persistence. In 16TH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC 2014) (pp. 594-601). doi:10.1109/SYNASC.2014.85DOI: 10.1109/SYNASC.2014.85
A Homologically Persistent Skeleton is a Fast and Robust Descriptor of Interest Points in 2D Images (Conference Paper)
Kurlin, V. (2015). A Homologically Persistent Skeleton is a Fast and Robust Descriptor of Interest Points in 2D Images. In COMPUTER ANALYSIS OF IMAGES AND PATTERNS, CAIP 2015, PT I Vol. 9256 (pp. 606-617). doi:10.1007/978-3-319-23192-1_51DOI: 10.1007/978-3-319-23192-1_51
A Linear Time Algorithm for Visualizing Knotted Structures in 3 Pages (Conference Paper)
Kurlin, V. (2015). A Linear Time Algorithm for Visualizing Knotted Structures in 3 Pages. In Proceedings of the 6th International Conference on Information Visualization Theory and Applications. SCITEPRESS - Science and and Technology Publications. doi:10.5220/0005259900050016DOI: 10.5220/0005259900050016
Kurlin, V. (2015). A one-dimensional homologically persistent skeleton of an unstructured point cloud in any metric space. Computer Graphics Forum, 34(5), 253-262. doi:10.1111/cgf.12713DOI: 10.1111/cgf.12713
Relaxed Disk Packing. (Conference Paper)
Ham, M. I., Edelsbrunner, H., & Kurlin, V. (2015). Relaxed Disk Packing.. In CCCG. Queen's University, Ontario, Canada. Retrieved from https://cccg.ca/proceedings/2015/
2014
Computing a configuration skeleton for motion planning of two round robots on a metric graph (Conference Paper)
Kurlin, V., & Safi-Samghabadi, M. (2014). Computing a configuration skeleton for motion planning of two round robots on a metric graph. In 2014 SECOND RSI/ISM INTERNATIONAL CONFERENCE ON ROBOTICS AND MECHATRONICS (ICROM) (pp. 723-729). Retrieved from https://www.webofscience.com/
2013
Kurlin, V. (2014). A fast and robust algorithm to count topologically persistent holes in noisy clouds. In 2014 IEEE CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION (CVPR) (pp. 1458-1463). doi:10.1109/CVPR.2014.189DOI: 10.1109/CVPR.2014.189
2009
Kurlin, V. (2012). COMPUTING BRAID GROUPS OF GRAPHS WITH APPLICATIONS TO ROBOT MOTION PLANNING. HOMOLOGY HOMOTOPY AND APPLICATIONS, 14(1), 159-180. doi:10.4310/HHA.2012.v14.n1.a8
2008
Fiedler, T., & Kurlin, V. (2010). RECOGNIZING TRACE GRAPHS OF CLOSED BRAIDS. OSAKA JOURNAL OF MATHEMATICS, 47(4), 885-909. Retrieved from https://www.webofscience.com/
All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron (Journal article)
Kearton, C., & Kurlin, V. (2008). All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 8(3), 1223-1247. doi:10.2140/agt.2008.8.1223DOI: 10.2140/agt.2008.8.1223
2007
Kurlin, V., & Mihaylova, L. (2007). Connectivity of Random 1-Dimensional Networks. Retrieved from http://arxiv.org/abs/0710.1001v2
Fiedler, T., & Kurlin, V. (2008). FIBER QUADRISECANTS IN KNOT ISOTOPIES. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 17(11), 1415-1428. doi:10.1142/S0218216508006695
2006
Kurlin, V. (2008). Gauss paragraphs of classical links and a characterization of virtual link groups. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 145, 129-140. doi:10.1017/S0305004108001151
Fiedler, T., & Kurlin, V. (2010). A 1-parameter approach to links in a solid torus. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 62(1), 167-211. doi:10.2969/jmsj/06210167DOI: 10.2969/jmsj/06210167
Kurlin, V. (2007). The Baker-Campbell-Hausdorff formula in the free metabelian Lie algebra. JOURNAL OF LIE THEORY, 17(3), 525-538. Retrieved from https://www.webofscience.com/
2005
Peripherally specified homomorphs of link groups (Journal article)
Kurlin, V., & Lines, D. (2007). Peripherally specified homomorphs of link groups. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 16(6), 719-740. doi:10.1142/S0218216507005440DOI: 10.1142/S0218216507005440
2004
Compressed Drinfeld associators (Journal article)
Kurlin, V. (2005). Compressed Drinfeld associators. JOURNAL OF ALGEBRA, 292(1), 184-242. doi:10.1016/j.jalgebra.2005.05.013DOI: 10.1016/j.jalgebra.2005.05.013
Three-page encoding and complexity theory for spatial graphs (Journal article)
Kurlin, V. (2007). Three-page encoding and complexity theory for spatial graphs. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 16(1), 59-102. doi:10.1142/S021821650700521XDOI: 10.1142/S021821650700521X
2003
Three-page embeddings of singular knots (Journal article)
Kurlin, V. A., & Vershinin, V. V. (2004). Three-page embeddings of singular knots. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 38(1), 14-27. doi:10.1023/B:FAIA.0000024864.64045.deDOI: 10.1023/B:FAIA.0000024864.64045.de
Basic embeddings of graphs and Dynnikov's three-page embedding method (Journal article)
Kurlin, V. A. (2003). Basic embeddings of graphs and Dynnikov's three-page embedding method. RUSSIAN MATHEMATICAL SURVEYS, 58(2), 372-374. doi:10.1070/RM2003v058n02ABEH000617DOI: 10.1070/RM2003v058n02ABEH000617
Базисные вложения графов и метод трехстраничных вложений Дынникова (Journal article)
Курлин, В. А., & Kurlin, V. A. (2003). Базисные вложения графов и метод трехстраничных вложений Дынникова. Uspekhi Matematicheskikh Nauk, 58(2), 163-164. doi:10.4213/rm617DOI: 10.4213/rm617
2001
Dynnikov three-page diagrams of spatial 3-valent graphs (Journal article)
Kurlin, V. A. (2001). Dynnikov three-page diagrams of spatial 3-valent graphs. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 35(3), 230-233. doi:10.1023/A:1012339231182DOI: 10.1023/A:1012339231182
Three-page Dynnikov's Diagrams of Spatial 3-valent Graphs (Journal article)
Kurlin, V. (2001). Three-page Dynnikov's Diagrams of Spatial 3-valent Graphs. Functional Analysis and Its Applications, 35(3), 230-233.
Трехстраничные диаграммы Дынникова заузленных $3$-валентных графов (Journal article)
Курлин, В. А., & Kurlin, V. A. (2001). Трехстраничные диаграммы Дынникова заузленных $3$-валентных графов. Функциональный анализ и его приложения, 35(3), 84-88. doi:10.4213/faa264DOI: 10.4213/faa264
2000
Basic embeddings into a product of graphs (Journal article)
Kurlin, V. (2000). Basic embeddings into a product of graphs. TOPOLOGY AND ITS APPLICATIONS, 102(2), 113-137. doi:10.1016/S0166-8641(98)00147-3DOI: 10.1016/S0166-8641(98)00147-3
1999
Invariants of colored links (Journal article)
Kurlin, V. A. (1999). Invariants of colored links. Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika, (4), 61-63.
Kurlin, V. (1999). The reduction of framed links to ordinary ones. RUSSIAN MATHEMATICAL SURVEYS, 54(4), 845-846. doi:10.1070/RM1999v054n04ABEH000190DOI: 10.1070/RM1999v054n04ABEH000190
Редукция оснащенных зацеплений к обычным (Journal article)
Курлин, В. А., & Kurlin, V. A. (1999). Редукция оснащенных зацеплений к обычным. Uspekhi Matematicheskikh Nauk, 54(4), 177-178. doi:10.4213/rm190DOI: 10.4213/rm190
