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pro vyhledávání: '"Ball, John P."'
Autor:
Ball, John M., Horner, Christopher L.
The purpose of this paper is to analyze a nonlinear elasticity model previously introduced by the authors for comparing two images, regarded as bounded open subsets of $\R^n$ together with associated vector-valued intensity maps. Optimal transformati
Externí odkaz:
http://arxiv.org/abs/2408.17237
Publikováno v:
2023 AHFE Open Access, vol 95
Currently, human drivers outperform self-driving vehicles in many conditions such as collision avoidance. Therefore, understanding human driver behaviour in these conditions will provide insight for future autonomous vehicles. For understanding drive
Externí odkaz:
http://arxiv.org/abs/2402.07041
Autor:
Ball, John M., Horner, Christopher L.
It is shown that a possibly infinite-valued proper lower semicontinuous convex function on ${\mathbb R}^n$ has an extension to a convex function on the half-space ${\mathbb R}^n\times[0,\infty)$ which is finite and smooth on the open half-space ${\ma
Externí odkaz:
http://arxiv.org/abs/2311.02671
Autor:
Ball, John M.
We make some remarks on the linear wave equation concerning the existence and uniqueness of weak solutions, satisfaction of the energy equation, growth properties of solutions, the passage from bounded to unbounded domains, and reconciliation of diff
Externí odkaz:
http://arxiv.org/abs/2307.16880
Autor:
Ball, John M., Horner, Christopher L.
A nonlinear elasticity model for comparing images is formulated and analyzed, in which optimal transformations between images are sought as minimizers of an integral functional. The existence of minimizers in a suitable class of homeomorphisms betwee
Externí odkaz:
http://arxiv.org/abs/2303.10103
Autor:
Ball, John M.
A unified treatment of slip and twinning in Bravais lattices is given, focussing on the case of cubic symmetry, and using the Ericksen energy well formulation, so that interfaces correspond to rank-one connections between the infinitely many crystall
Externí odkaz:
http://arxiv.org/abs/2303.04621
We attempt to describe surface defects in smectic A thin films by formulating a free discontinuity problem - that is, a variational problem in which the order parameter is allowed to have jump discontinuities on some (unknown) set. The free energy fu
Externí odkaz:
http://arxiv.org/abs/2211.11051
Autor:
Ball, John M.
A simple proof is given of the classical result due to Fatkullin and Slastikov (2005), Liu, Zhang and Zhang (2005) that critical points for the Onsager functional with the Maier-Saupe molecular interaction are axisymmetric, including the case of stab
Externí odkaz:
http://arxiv.org/abs/2008.04009
Publikováno v:
J. Appl. Remote Sens. 13(2), 026508 (2019)
Hyperspectral imaging is a powerful technology that is plagued by large dimensionality. Herein, we explore a way to combat that hindrance via non-contiguous and contiguous (simpler to realize sensor) band grouping for dimensionality reduction. Our ap
Externí odkaz:
http://arxiv.org/abs/1905.09698
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