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Gravimetric quasigeoid in Slovakia by the finite element method

Zuzana Fašková;  Karol Mikula;  Róbert Čunderlík;  Juraj Janák;  Michal Šprlák — 2007

Kybernetika

The paper presents the solution to the geodetic boundary value problem by the finite element method in area of Slovak Republic. Generally, we have made two numerical experiments. In the first one, Neumann BC in the form of gravity disturbances generated from EGM-96 is used and the solution is verified by the quasigeoidal heights generated directly from EGM-96. In the second one, Neumann BC is computed from gravity measurements and the solution is compared to the quasigeoidal heights obtained by...

4D Embryogenesis image analysis using PDE methods of image processing

Paul Bourgine;  Róbert Čunderlík;  Olga Drblíková-Stašová;  Karol Mikula;  Mariana Remešíková;  Nadine Peyriéras;  Barbara Rizzi;  Alessandro Sarti — 2010

Kybernetika

In this paper, we introduce a set of methods for processing and analyzing long time series of 3D images representing embryo evolution. The images are obtained by in vivo scanning using a confocal microscope where one of the channels represents the cell nuclei and the other one the cell membranes. Our image processing chain consists of three steps: image filtering, object counting (center detection) and segmentation. The corresponding methods are based on numerical solution of nonlinear PDEs, namely...

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