Search Results - "Robins, Vanessa"

Skeletonization and Partitioning of Digital Images Using Discrete Morse Theory by Delgado-Friedrichs, Olaf, Robins, Vanessa, Sheppard, Adrian

“…We show how discrete Morse theory provides a rigorous and unifying foundation for defining skeletons and partitions of grayscale digital images. We model a…”
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Porous Media Characterization Using Minkowski Functionals: Theories, Applications and Future Directions by Armstrong, Ryan T., McClure, James E., Robins, Vanessa, Liu, Zhishang, Arns, Christoph H., Schlüter, Steffen, Berg, Steffen

“…An elementary question in porous media research is in regard to the relationship between structure and function. In most fields, the porosity and permeability…”
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Percolating length scales from topological persistence analysis of micro‐CT images of porous materials by Robins, Vanessa, Saadatfar, Mohammad, Delgado‐Friedrichs, Olaf, Sheppard, Adrian P.

“…Topological persistence is a powerful and general technique for characterizing the geometry and topology of data. Its theoretical foundations are over 15 years…”
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Ideal geometry of periodic entanglements by Evans, Myfanwy E., Robins, Vanessa, Hyde, Stephen T.

“…Three-dimensional entanglements, including knots, knotted graphs, periodic arrays of woven filaments and interpenetrating nets, form an integral part of…”
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Topology-Inspired Method Recovers Obfuscated Term Information From Induced Software Call-Stacks by Maggs, Kelly, Robins, Vanessa

“…Fuzzing is a systematic large-scale search for software vulnerabilities achieved by feeding a sequence of randomly mutated input files to the program of…”
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Evolution of local motifs and topological proximity in self-assembled quasi-crystalline phases by Pedersen, Martin Cramer, Robins, Vanessa, Mortensen, Kell, Kirkensgaard, Jacob J. K.

“…Using methods from the field of topological data analysis, we investigate the self-assembly and emergence of three-dimensional quasi-crystalline structures in…”
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Finding Auxetic Frameworks in Periodic Tessellations by Mitschke, Holger, Schwerdtfeger, Jan, Schury, Fabian, Stingl, Michael, Körner, Carolin, Singer, Robert F., Robins, Vanessa, Mecke, Klaus, Schröder-Turk, Gerd E.

“…It appears that most models for micro‐structured materials with auxetic deformations were found by clever intuition, possibly combined with optimization tools,…”
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Finite auxetic deformations of plane tessellations by Mitschke, Holger, Robins, Vanessa, Mecke, Klaus, Schrder-Turk, Gerd E.

“…We systematically analyse the mechanical deformation behaviour, in particular Poisson's ratio, of floppy bar-and-joint frameworks based on periodic…”
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Morse theory and persistent homology for topological analysis of 3D images of complex materials by Delgado-Friedrichs, Olaf, Robins, Vanessa, Sheppard, Adrian

“…We develop topologically accurate and compatible definitions for the skeleton and watershed segmentation of a 3D digital object that are computed by a single…”
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Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids by Robins, Vanessa, Turner, Katharine

“…Persistent homology, while ostensibly measuring changes in topology, captures multiscale geometrical information. It is a natural tool for the analysis of…”
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Granular compaction and the topology of pore deformation by Saadatfar, Mohammad, Takeuchi, Hiroshi, Hanifpour, Maryam, Robins, Vanessa, Francois, Nicolas, Hiraoka, Yasuaki

“…The mechanism of crystallisation in highly dissipative materials such as foams or granular materials is still widely unknown. In macroscopic granular materials…”
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The extended persistent homology transform of manifolds with boundary by Turner, Katharine, Robins, Vanessa, Morgan, James

“…A shortcoming of persistent homology is that when two domains have different numbers of components or holes the persistence diagrams of any filtration will…”
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Theory and Algorithms for Constructing Discrete Morse Complexes from Grayscale Digital Images by Robins, V, Wood, P J, Sheppard, A P

“…We present an algorithm for determining the Morse complex of a two or three-dimensional grayscale digital image. Each cell in the Morse complex corresponds to…”
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Topological Persistence for Relating Microstructure and Capillary Fluid Trapping in Sandstones by Herring, A. L., Robins, V., Sheppard, A. P.

“…Results from a series of two‐phase fluid flow experiments in Leopard, Berea, and Bentheimer sandstones are presented. Fluid configurations are characterized…”
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The intrinsic group–subgroup structures of the Diamond and Gyroid minimal surfaces in their conventional unit cells by Pedersen, Martin Cramer, Robins, Vanessa, Hyde, Stephen T.

“…The intrinsic, hyperbolic crystallography of the Diamond and Gyroid minimal surfaces in their conventional unit cells is introduced and analysed. Tables are…”
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The maximally symmetric surfaces in the 3-torus by Bai, Sheng, Robins, Vanessa, Wang, Chao, Wang, Shicheng

“…Suppose an orientation-preserving action of a finite group G on the closed surface Σ g of genus g > 1 extends over the 3-torus T 3 for some embedding Σ g ⊂ T 3…”
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Ideal geometry of periodic entanglements by Evans, Myfanwy E., Robins, Vanessa, Hyde, Stephen T.

“…Three-dimensional entanglements, including knots, knotted graphs, periodic arrays of woven filaments and interpenetrating nets, form an integral part of…”
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Periodic entanglement I: networks from hyperbolic reticulations by Evans, Myfanwy E., Robins, Vanessa, Hyde, Stephen T.

“…High‐symmetry free tilings of the two‐dimensional hyperbolic plane () can be projected to genus‐3 3‐periodic minimal surfaces (TPMSs). The three‐dimensional…”
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Finite auxetic deformations of plane tessellations by Mitschke, Holger, Robins, Vanessa, Mecke, Klaus, Schröder-Turk, Gerd E.

“…We systematically analyse the mechanical deformation behaviour, in particular Poisson's ratio, of floppy bar-and-joint frameworks based on periodic…”
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Quantifying the homology of periodic cell complexes by Onus, Adam, Robins, Vanessa

“…A periodic cell complex, $K$, has a finite representation as the quotient space, $q(K)$, consisting of equivalence classes of cells identified under the…”
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