Applied topology and geometry group

Department of Fundamental & Theoretical Physics

Book editor

( publications)

, , (Eds.)
"Research in ComputationalTopology 2"
Springer, Switzerland (2022) 265

Book chapter

( publications)

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The Persistent Homology of Dual Digital Image Constructions [DUPLICATION of U3594520xPUB707]
Research in Computational Topology 2
Springer Cham, United Kingdom (2022) 1-26
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The Persistent Homology of Dual Digital Image Constructions
"Research in ComputationalTopology 2"
Springer, Switzerland (2022) 1-27
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Tile-Transitive Tilings of the Euclidean and Hyperbolic Planes by Ribbons
"Research in ComputationalTopology 2"
Springer, Switzerland (2022) 77-98

Algebraic Topology
Mathematical Tools for Physicists
Wiley - VCH Verlag GmbH & CO. KGaA, UK (2015) 211-239
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Topology and Intelligent Data Analysis
Advances in Intelligent Data Analysis: 5th International Symposium on Intelligent Data Analysis, IDA 2003, Berlin 2003, Proceedings
Springer, Amsterdam (2003) 111-122

Computational Topology for Point Data: Betti Numbers of ?-Shapes
Morphology of Condensed Matter: Physics and Geometry of Spatially Complex Systems
Springer, Germany (2002) 261-274

Journal article

( publications)

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The intrinsic group-subgroup structures of the Diamond and Gyroid minimal surfaces in their conventional unit cells
Acta Crystallographica. Section A 78() 56-58
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Correspondence of max-flow to the absolute permeability of porous systems
Physical Review Fluids 6, 5()
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Topology-Inspired Method Recovers Obfuscated Term Information From Induced Software Call-Stacks
Frontiers in Applied Mathematics and Statistics 7() 1-13
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Geometrical and topological evolution of a closed-cell aluminium foam subject to drop-weight impact: An X-ray tomography study
International Journal of Impact Engineering 139, 103510()
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Evolution of local motifs and topological proximity in self-assembled quasi-crystalline phases
Proceedings of the Royal Society A 476, 2241() 1-15
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Topological Persistence for Relating Microstructure and Capillary Fluid Trapping in Sandstones
Water Resources Research 55, 1() 555-573
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Porous Media Characterization Using Minkowski Functionals: Theories, Applications and Future Directions
Transport in Porous Media 130, 1() 305-335
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Pore configuration landscape of granular crystallization
Nature Communications 8() 15082-15082
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The maximally symmetric surfaces in the 3-torus
Geometriae Dedicata 189, 1() 79-95
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Principal component component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids
Physica D 334, -() 99-117
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Percolating length scales from topological persistence analysis of micro-CT images of porous materials
Water Resources Research 52, 1() 315-329
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Skeletonization and Partitioning of Digital Images Using Discrete Morse Theory
IEEE Transactions on Pattern Analysis and Machine Intelligence 37, 3() 654-666
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Ideal geometry of periodic entanglements
Proceedings of the Royal Society A 471, 2181() 20150254-1-23
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Structural and mechanical features of the order-disorder transition in experimental hard-sphere packings
Physical Review E-Statistical, Nonlinear and Soft Matter Physics 91, 6()
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Experimental investigation of the mechanical stiffness of periodic framework-patterned elastomers
Philosophical Transactions of the Royal Society Series A 372, 2008() 20120035-20120035
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Unification and classification of two-dimensional crystalline patterns using orbifolds
Acta Crystallographica Section A: Foundations of Crystallography 70, 4() 319-337
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Finite auxetic deformations of plane tessellations
Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 469, 2149() 1-17
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Periodic entanglement II: Weavings from hyperbolic line patterns
Acta Crystallographica Section A: Foundations of Crystallography 69, 3() 262-275
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Periodic entanglement I: Networks from hyperbolic reticulations
Acta Crystallographica Section A: Foundations of Crystallography 69, 3() 241-261
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Trading spaces: Building three-dimensional nets from two-dimensional tilings
Interface Focus 2, 5() 555-566
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Finding Auxetic Frameworks in Periodic Tessellations
Advanced Materials 23, 22-23() 2669-2674
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Theory and Algorithms for Constructing Discrete Morse Complexes from Grayscale Digital Images
IEEE Transactions on Pattern Analysis and Machine Intelligence 33 , 8() 1646-1658
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Three-dimensional Euclidean nets from two-dimensional hyperbolic tilings: kaleidoscopic examples
Acta Crystallographica Section A: Foundations of Crystallography A65() 81-108
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Towards enumeration of crystalline frameworks: the 2D hyperbolic approach
Solid State Sciences 8() 740-752

Betti number signatures of homogeneous Poisson point processes
Physical Review E-Statistical, Nonlinear and Soft Matter Physics 74, 6() 061107-1-11
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A note on the two symmetry-preserving covering maps of the gyroid minimal surface
European Physical Journal B 48() 107-111
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2D Hyperbolic Groups Induce Three-periodic Euclidean Reticulations
European Physical Journal B 39() 365-375
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Topology-based Signal Separation
Chaos An Interdisciplinary Journal of Nonlinear Science 14, 2() 305-316
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Effect of Network Topology on Relative Permeability
Transport in Porous Media 55() 21-46
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Symmetry Groups and Reticulations of the Hexagonal H Surface
Physica A: Statistical mechanics and its applications 339() 173-180
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Topology and intelligent data analysis
Intelligent Data Analysis 8() 505-515
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Meditation on an Engraving of Fricke and Klein (The Modular Group and Geometrical Chemistry)
Australian Journal of Chemistry 56() 981-1000
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Topology and intelligent data analysis
Lecture Notes in Computer Science (LNCS) 2810() 111-122

Computing connectedness: Disconnectedness and discreteness
Physica D 139, 3-4() 276-300

Computing connectedness: An exercise in computational topology
Nonlinearity 11, 4() 913-922

Conference paper

( publications)

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The Impact of Changes in Resolution on the Persistent Homology of Images
2021 IEEE 2nd International Conference on Big Data, Artificial Intelligence and Internet of Things Engineering (ICBAIE) ?, ?() 3824-3834
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Prediction of Permeability from Euler Characteristic of 3D Images'
"International Symposium of the Society of CoreAnalysts" ?, ?() 1-12
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Granular compaction and the topology of pore deformation
8th International Conference on Micromechanics on Granular Media, Powders and Grains 2017 ?, ?()
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Morse Theory and Persisten Homology for Toplogical Analysis of 3D Images of Complex Materials
IEEE International Conference on Image Processing ICIP 2014 ?, ?() 4872-4876
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Analysis of Rock Microstructure using High-resolution X-ray Tomography
International Symposium of the Society of Core Analysts 2006 ?, ?() SCA2006-26-1-12

Journal article (non-refereed)

( publications)

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3D X-ray art
Australian Physics 52, 1() 18-22

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