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Living and Nonliving Mosaic
Ilucová, Lucia
Suitable statistic characteristic for variability of elements of set with some feature is coefficient of variation. Planar tessellation (the set of figures which cover the plane without gaps or overlaps) is presented as an example for application of this characteristic.
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Mathematics in Paracelsus' time
Saxl, Ivan
The life of five mathematicians, Nicolas Choquet, Éstienne de la Roche, Johannes Widmann, Adam Ries and Albrecht Dürer, are described and their main mathematical achievements consisting in writing textbooks of different kind are discussed.
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Solving image analysis problems by minimization of total variation
Janáček, Jiří
A solution of various problems in image analysis using concurrent minimization of total variation and Lp loss function is presented. The minimization is achieved by a steepest descend method using graph cut minimization in each step. Regularization of noisy image and registration of microscopic images of physical sections are demonstrated
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Ohodnocení chyby objemové rekonstrukce biologických vzorků z konfokálních obrazů
Čapek, Martin ; Janáček, Jiří ; Kubínová, Lucie ; Smrčka, P. ; Hána, K.
We performed both volume reconstructions using images captured by the USB microscope and images captured by the confocal microscope. We manually marked important corresponding structures in both reconstructed data sets, and computed distances between corresponding structures, assuming that structures in the reconstruction from USB microscope data are without deformations. According to our expectations, the main errors of high-resolution volume reconstruction (from confocal data) are in the direction of physical cutting (vary in units of millimeters) and in the direction perpendicular to cutting due to off-cut (vary in tenths of millimeters)
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Přístupy k visualizaci obrazů 3D struktur získaných konfokálním mikroskopem
Čapek, Martin ; Janáček, Jiří ; Kubínová, Lucie ; Hána, K. ; Smrčka, P.
Laser scanning confocal microscopes are capable to focus a laser beam into a layer of an investigated biological specimen, and by the gradual scanning of this layer they acquire an optical section. By consecutive scanning of all preset layers of the specimen we obtain a stack of optical sections, i.e. a 3D digital representation of the specimen. In the presented study we focus on volume reconstruction of large biological tissues, i.e. tissues greater than field of view and/or thicker than maximal depth of scanning of a confocal microscope. As a result of volume reconstruction we obtain a high resolution 3D image of the biological specimen. 3D visualization is offered either by our Rapid3D software package suited for three-dimensional reconstruction and visualization of biomedical images, or Ellipse modular software package devoted to biological image processing (created by ViDiTo company, Slovakia)
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Nástroje pro trojrozměrnou vizualizaci struktur v biologii
Čapek, Martin ; Janáček, Jiří ; Kubínová, Lucie ; Smrčka, P. ; Hána, K.
By consecutive scanning of layers of the biological specimen by a confocal microscope we obtain a stack of optical sections, i.e. a 3D digital representation of the specimen. Our research focuses, on volume reconstruction of large biological tissues, i.e. tissues greater than field of view and/or thicker than maximal depth of scanning of the confocal microscope. As a result of volume reconstruction we obtain a high resolution 3D image of the biological specimen. In order to visualize 3D objects on 2D computer screens we developed several tools including visualization by a specialized VolumePro board and by using consumer graphics cards supporting DirectX and OpenGL
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