38 citations · 157 across the 26 of their papers we have counts for
5 papers · 1 filter
Image augmentation with conformal mappings for a convolutional neural network
Oona Rainio, Mohamed M. S. Nasser, Matti Vuorinen +1
For augmentation of the square-shaped image data of a convolutional neural network (CNN), we introduce a new method, in which the original images are mapped onto a disk with a conf…
Level sets of potential functions bisecting unbounded quadrilaterals
Mohamed M. S. Nasser, Semen Nasyrov, Matti Vuorinen
We study the mixed Dirichlet-Neumann problem for the Laplace equation in the complement of a bounded convex polygonal quadrilateral in the extended complex plane. The Dirichlet\,/\…
Numerical computation of a preimage domain for an infinite strip with rectilinear slits
El Mostafa Kalmoun, Mohamed M. S. Nasser, Matti Vuorinen
Let be the multiply connected domain in the extended complex plane $\overline{\C}$ obtained by removing non-overlapping rectilinear segments from the infinite strip $S=\{z\…
Conformal capacity and polycircular domains
Harri Hakula, Mohamed M. S. Nasser, Matti Vuorinen
We study numerical conformal mapping of multiply connected planar domains with boundaries consisting of unions of finitely many circular arcs, so called polycircular domains. We co…
Computing the logarithmic capacity of compact sets having (infinitely) many components with the Charge Simulation Method
Jörg Liesen, Mohamed M. S. Nasser, Olivier Sète
We apply the Charge Simulation Method (CSM) in order to compute the logarithmic capacity of compact sets consisting of (infinitely) many "small" components. This application allows…