The aim of this master thesis is generating new "atoms'' for purposes of overcomplete signal representation for toolbox Frames in MATLAB. At first is described the principle of overcomplete systems and so-called frames. In the thesis is introduced the basic distribution of frames and conditions of their constructions. There is described the basic principle of finding the sparse solutions in overcomplete systems too. The main part is dealt with construction single functions for generating "atoms'', such as: Gabor function, B-splines, Bézier curves, Daubechies wavelets, etc. At last there is introduced an example of usage these functions for reconstruction signal in comparison with Fourier and wavelet transforms.

This thesis deals with the principle of capturing images of the retina of fundus camera, their features and then preprocessing. The aim of preprocessing is the correction of nonillumination in images of the retina. The model of non-illumination is obtained by using parametric surfaces. Coons surface was selected from a set of surfaces based on the knowledge of retinal images. This has been approximated by a non-uniform illumination. Then the thesis concentrates on describing the methods involving shading corrections. Compensation of non-uniform illumination is based on the use of parametric surface and selected methods for shading correction. The methods presented in the last chapter were tested on simulated and real data. The results were evaluated subjectively.

This diploma thesis deals with the creation of interactive tools for 3D computer graphics. The introduction of the thesis focuses on general theory of curves and surfaces and its mathematical description. The topics of Geometric transformation, Perspective projection and Parametric description of 3-dimensional surface are analysed in more detail. The successive chapter deals with the subject of visualisation of spatial objects in Java platform interface. The practical part describes the implementation of individual applets. JAVA programming language, which uses the library functions JOGL, was employed for the very realization of the interactive tools. The goal of the diploma thesis is the creation of a set of interactive applets in the field of computer graphics. These applets will be placed on the website of the faculty and they will serve students of VUT in Brno to improve the quality of education.

The aim of the master's thesis is to create a graphic intro with the limited size of 64kB. Brief history of a demoscene and the graphics library OpenGL is introduced in the following text. The main part of the work is a description of minimal graphics techniques used in a creative process and their further application in the final programme.