5 citations · 9 across the 6 of their papers we have counts for
7 papers
Knot Morphing Algorithm for Quantum `Fragile Topology'
Kirk E. Jordan, Ji Li, Thomas J. Peters
A knot theoretic algorithm is proposed to model `fragile topology' of quantum physics.
An Efficient Algorithm for Topological Characterisation of Worm-Like and Branched Micelle Structures from Simulations
Breanndan O Conchuir, Kirk Gardner, Kirk E. Jordan +7
Many surfactant-based formulations are utilised in industry as they produce desirable visco-elastic properties at low-concentrations. These properties are due to the presence of wo…
Exact Computation for Existence of a Knot Counterexample
T. J. Peters, K. Marinelli
Previously, numerical evidence was presented of a self-intersecting Bezier curve having the unknot for its control polygon. This numerical demonstration resolved open questions in…
Knot Visualization Experiments for Verifiable Molecular Movies
J. Li, T. J. Peters, K. E. Jordan
Classical topological concepts are applied to understand high performance computing simulations of molecules writhing in three dimensional space. These simulations produce peta-byt…
Angular Convergence during Bezier Curve Approximation
J. Li, T. J. Peters, J. A. Roulier
Properties of a parametric curve in R^3 are often determined by analysis of its piecewise linear (PL) approximation. For Bezier curves, there are standard algorithms, known as subd…
Computational Topology Counterexamples with 3D Visualization of Bezier Curves
J. Li, T. J. Peters, D. Marsh +1
For applications in computing, Bezier curves are pervasive and are defined by a piecewise linear curve L which is embedded in R^3 and yields a smooth polynomial curve C embedded in…