33 citations · 140 across the 29 of their papers we have counts for
5 papers · 1 filter
Landen transformations applied to approximation
Rahim Kargar, Oona Rainio, Matti Vuorinen
We study computational methods for the approximation of special functions recurrent in geometric function theory and quasiconformal mapping theory. The functions studied can be exp…
Collinearity of points on Poincaré unit disk and Riemann sphere
Masayo Fujimura, Oona Rainio, Matti Vuorinen
We study certain points significant for the hyperbolic geometry of the unit disk. We give explicit formulas for the intersection points of the Euclidean lines and the stereographic…
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…
Inclusion properties of the triangular ratio metric balls
Oona Rainio
Inclusion properties are studied for balls of the triangular ratio metric, the hyperbolic metric, the -metric, and the distance ratio metric defined in the unit ball domain. S…
Metrics and quasimetrics induced by point pair function
Dina Dautova, Semen Nasyrov, Oona Rainio +1
We study the point pair function in subdomains of . We prove that, for every domain , the this function is a quasi-metric with the consta…