5 papers
DFS-based fast crack pre-detection
Duc Nguyen, Vsevolod Chernyshev, Vitalii Makogin +1
This paper develops a computationally efficient pre-detection method for cracks in three-dimensional CT images of concrete. Instead of attempting full voxel-wise crack segmentation…
Extrapolation of max-stable random fields with Fréchet marginals
Vitalii Makogin, Evgeny Spodarev, Ilja Sukhanov
We propose a method for the prediction of stationary max--stable random fields with -Fréchet marginal distribution . The method is suitable to cope with heavy tails for…
A statistical method for crack pre-detection in 3D concrete images
Vitalii Makogin, Duc Nguyen, Evgeny Spodarev
In practical applications, effectively segmenting cracks in large-scale computed tomography (CT) images holds significant importance for understanding the structural integrity of m…
Tube formula for spherically contoured random fields with subexponential marginals
Satoshi Kuriki, Evgeny Spodarev
It is widely known that the tube method, or equivalently the Euler characteristic heuristic, provides a very accurate approximation for the tail probability that the supremum of a…
Random eigenvalues of graphenes and the triangulation of plane
Artur Bille, Victor Buchstaber, Simon Coste +2
We analyse the numbers of closed paths of length on two important regular lattices: the hexagonal lattice (also called in chemistry) and its du…