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Uniform a priori estimates for discrete solution of nonlinear tensor diffusion equation in image processing

Olga Drblíková — 2007

Kybernetika

This paper concerns with the finite volume scheme for nonlinear tensor diffusion in image processing. First we provide some basic information on this type of diffusion including a construction of its diffusion tensor. Then we derive a semi-implicit scheme with the help of so-called diamond-cell method (see [Coirier1] and [Coirier2]). Further, we prove existence and uniqueness of a discrete solution given by our scheme. The proof is based on a gradient bound in the tangential direction by a gradient...

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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