|
|
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.
|
|
|
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.
|
|
| |
|
|
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.
|
|
|
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.
|
|
|
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.
|
|
| |
|
|
Bifurcation analysis of electric drive
Mach, Martin ; Vrba, Jaromír (referee) ; Koláčný, Josef (advisor)
This master thesis is deals with phenomenon of bifurcation in DC drive. It contains theoretical part, results of simulations and measurements of real DC drive in laboratory. The simulations was made in MATLAB, their results are bifurcation diagrams for different value of parameters. Target of measurement in laboratory was observed bifurcation on the real DC drive. Results of measurement are too transformed to bifurcation diagrams.
|
|
|
Nonlinear Physics and Chaos Theory
NÁHLÍK, Tomáš
This thesis deals with nonlinear physics and chaos theory from its begining, through the main people to its application in various fields. This work has also part of fractals and fractal geometry. There are also source codes of various examples.
|
guest ::
