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Bifurcation in mathematical models in biology
Kozák, Michal ; Kučera, Milan (advisor) ; Stará, Jana (referee)
Stationary, spatially inhomogenous solutions of reaction-diffusion systems are studied in this thesis. These systems appears in biological models based on a Tu- ring's idea of a diffusion driven instability. In the connection, a global behaviour of bifurcation branches of these stationary solutions is analyzed. The thesis in- sists on theory of differential equations and on (particularly topological) methods of nonlinear analysis. The existence, as well as non-compatness in one-dimensional space, of a bifurcation branch of general reaction-diffusion system leading to Tu- ring's efekt is proved. Further, a priori estimates of Thomas model are derived. The results tend to theorem, that forall diffusion coefficient from the preestab- lished set there exists at least one stacionary, spacially nontrivial solution of Tho- mas model.
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Biometry based on retinal videosequences
Oweis, Kamil ; Odstrčilík, Jan (referee) ; Kolář, Radim (advisor)
The biometric methods are the most advanced methods for recognition and verification of person identity. These methods are quite fast, safe and applicable in different situations. In this thesis is used a set of retinal scans taken with a video-ophtalmoscope. These pictures are further modified for next processing, first of all by convertion into black-andwhite binary image, in some cases was after that used a binary matrix for description of image. Afterwards was suggested comparison method of images from the database with reference image of the retina: method of overlap and shift. It was tested a set of blackand-white and then also grey images. All method calculations was realized in program Matlab of which outcome was determination of the most congruent image with reference image and evaluation of overall program accuracy.
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Bifurcations in contact problems with Coulomb friction
Ligurský, Tomáš ; Renard, Y.
To explore the bifurcation in this contact problem, we have taken uniform meshes with 4096, 16384, 65536 and 262144 triangles. We shall show that the bifurcation behaviour is more complex here. Branches 1 and 4 approach one another for finer meshes, and they disappear both for the finest mesh. Nevertheless, regarding the branching of the corresponding contact problem with forces h = (h1,h2) over the plane h1-h2, one can find it stable and convergent, again. \n
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Bifurcation Localization in Retina Images
Kvapilová, Aneta ; Drahanský, Martin (referee) ; Semerád, Lukáš (advisor)
This thesis deals with processing images of human retina. Its main goal is to create a system which is able to localize places important in a process of creating biometrical template - bifurcations and crossing of blood vessels. The first part focuses on biometrics in detail and explains certain concepts of this area. It also mentions the anatomy of the human eye focusing on retina. The second part provides detailed description of all the stages and algorithms that were necessary in the process of creation of the application.
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Bifurcation Localization in Retina Images
Pres, Martin ; Drahanský, Martin (referee) ; Semerád, Lukáš (advisor)
From biometrical point of view, main features of retina are fovea, optic nerve and blood vessel tree. Blood vessel tree is unique for each person and this biological feature is used in biometric systems for person-recognition by retinal images. This document describes methods for optic disc and fovea localization, method for vessel tree segmentation, which is based on well-known \emph{Matched filters} method and also describes method for localization of blood vessel bifurcations. Main goal of this thesis is creation of program which can automatically preprocess input image, segment blood vessels and localize vessel bifircations. The program is implemented in Java with OpenCV library.
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Fingerprints Generator
Chaloupka, Radek ; Orság, Filip (referee) ; Drahanský, Martin (advisor)
Algorithms for fingerprints recognition are already known for long time and there is also an effort for their best optimization. This master's thesis is dealing with an opposite approach, where the fingerprints are not being recognized, but are generated on the minutiae position basis. Such algorithm is then free of the minutiae detection from image and enhancements of fingerprints. Results of this work are the synthetic images generated according to few given parameters, especially minutiae.
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Fingerprint biometry
Smékal, Ondřej ; Drahanský, Martin (referee) ; Fedra, Petr (advisor)
Algorithms designed for identification and verification persons by fingerprints recognition are spread and used as in forensics aplications as in private sector for a long time. The aim of this thesis is to make us aquainted with various aplicated mathematic models of fingerprint processing in digital way. Second task is the presentation algorithmic solution of chosen subject identification procedure by force of Fingerprint matching. Algorithm is solid in the development environment platform Matlab.
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Self-excited oscillators in electronics
Grill, Jiří ; Dobis, Pavel (referee) ; Štrunc, Marian (advisor)
The aim of my bachelor´s project is to enter into characteristics self-excited oscillators, specifically focused on the Van der Pol oscillator. The Van der Pol oscillators produce oscillations which may be generated in nonlinear dynamic systems (autonomous or not). I also deal with periodical stationary states in the binary system, the derivation of the Van der Pol equation and analysis of its possible solution. The course of oscillations is monitored depending on its non-linearity, using computer simulation in programmes MatLab and C++ Builder 6 both for the homogenous equation (with zero right hand side term) and inhomogenous equation (with non-zero right hand side term). The latter refer to excited Van der Pol oscillator which exhibits also a chaotic regime.
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