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Finite volume schemes for the generalized subjective surface equation in image segmentation

Karol Mikula;  Mariana Remešíková — 2009

Kybernetika

In this paper, we describe an efficient method for 3D image segmentation. The method uses a PDE model – the so called generalized subjective surface equation which is an equation of advection-diffusion type. The main goal is to develop an efficient and stable numerical method for solving this problem. The numerical solution is based on semi-implicit time discretization and flux-based level set finite volume space discretization. The space discretization is discussed in details and we introduce three...

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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