Applied topology and geometry group

Department of Fundamental & Theoretical Physics

Book chapter

( publications)


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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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()
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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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The maximally symmetric surfaces in the 3-torus
Geometriae Dedicata 189, 1() 79-95
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Pore configuration landscape of granular crystallization
Nature Communications 8() 15082-15082
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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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3D X-ray art
Australian Physics 52, 1() 18-22
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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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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

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