|
|
Analog nonlinear function structures for educational laboratory purposes
Filko, Patrik ; Dvořák, Radek (referee) ; Šotner, Roman (advisor)
This master’s thesis deals with the design and the realization of a laboratory teaching device, which includes two-port parts with nonlinear transmission characteristics corresponding to quadratic, inverse quadratic and cubic functions. It also includes a more complicated design of a polynomial function converter that offers students a practical view of functions mathematically designed while verifying their accuracy in laboratory exercises. The whole concept is supported by the design of the power supply circuit and the harmonic signal generator. The individual features of this project are feasible from components commercially available.
|
|
|
Application of Generalized Laguerre Functions to System Identification and Modeling
Tůma, Martin ; Kozák,, Štefan (referee) ; STRAKA,, Ondřej (referee) ; Jura, Pavel (advisor)
Tato práce se zabývá použitím zobecněných Laguerrových funkcí pro modelování a identifikaci dynamických systémů. Po krátkém úvodu je uvedena definice zobecněných Laguerrových polynomů a funkcí a některé jejich vlastnosti. Je zavedena metoda pro identifikaci spojitých dynamických systémů z diskrétních nasamplovaných dat s použitím zobecněných Laguerrových funkcí a porovnána s metodou nejmenších čtverců. Je diskutována volba optimálních parametrů p a alpha pro konečné Fourierovy řady se zobecněnými Laguerrovými funkcemi. Na příkladech je porovnána navržená identifikační metoda s metodou nejmenších čtverců. Je zavedena diskrétní Laguerrova transformace a její rozšíření s použitím zobecněných Laguerrových funkcí. Na příkladech je předvedena aplikace diskrétní Laguerrovy transformace na kompresi dat. Je ukázáno, že použití diskrétní Laguerrovy transformace může vést k lepším výsledků při kompresi dat než tradiční postup s využitím diskrétní kosinové transformace.
|
|
|
Rings of order p^2 and p^3
Haluza, Vít ; Hrdina, Jaroslav (referee) ; Kureš, Miroslav (advisor)
This Bachelor thesis deals with classification and studying of properties of rings of order p^2 and p^3 (p is prime). Terms such as ring ideal or polynomial over finite field are introduced and used in this thesis. Apart from abstract unspecified rings, some special types of finite rings are also mentioned and classified. Program package, which is able to automatically classify given ring of order p^2 is also part of this thesis.
|
|
|
Curves in Computer Graphics
Míchal, Luboš ; Zuzaňák, Jiří (referee) ; Venera, Jiří (advisor)
This work deal with proposal and implementation demonstrational application, that will be instrumental towards demonstration curves used in computer graphic. Application is created in language C++ in environment Visual Studio 2005. By the help of those application can be individual steps of calculation watch and set control point. After it is possible watch differences among single used algorithms. Aim work is put near individual curves potential interested person about this theme.
|
|
|
Interpolation with NURBS curves
Škvarenina, Ľubomír ; Rajmic, Pavel (referee) ; Zátyik, Ján (advisor)
Diploma thesis deals with image interpolation. The aim of this work is to study theoretically and then describe the nature of the various methods of image interpolation and some of them implemented in the program MATLAB. The introductory part of this work theoretically closer to important terms that are closely related to this topic of digital image processing sufficient to understand the principle. In the following of the thesis will be discussed all of today's commonly used method of image interpolation. Will hear all about the method of image interpolation using nearest neightbor interpolation and image help of polynimals such as (bi)linear, (bi)quadratic and (bi)kubic method. Then work theoretically analyzes the theory of individual species curves and splines. More specifically, coming to their most frequently used variants of B-spline curves and ther generalizations called NURBS, with addressing the problem of interpolating these curves. The final chapter consists of the results achieved in the program MATLAB.
|
|
|
Analog nonlinear function structures for educational laboratory purposes
Filko, Patrik ; Dvořák, Radek (referee) ; Šotner, Roman (advisor)
This master’s thesis deals with the design and the realization of a laboratory teaching device, which includes two-port parts with nonlinear transmission characteristics corresponding to quadratic, inverse quadratic and cubic functions. It also includes a more complicated design of a polynomial function converter that offers students a practical view of functions mathematically designed while verifying their accuracy in laboratory exercises. The whole concept is supported by the design of the power supply circuit and the harmonic signal generator. The individual features of this project are feasible from components commercially available.
|
|
|
Application of Generalized Laguerre Functions to System Identification and Modeling
Tůma, Martin ; Kozák,, Štefan (referee) ; STRAKA,, Ondřej (referee) ; Jura, Pavel (advisor)
Tato práce se zabývá použitím zobecněných Laguerrových funkcí pro modelování a identifikaci dynamických systémů. Po krátkém úvodu je uvedena definice zobecněných Laguerrových polynomů a funkcí a některé jejich vlastnosti. Je zavedena metoda pro identifikaci spojitých dynamických systémů z diskrétních nasamplovaných dat s použitím zobecněných Laguerrových funkcí a porovnána s metodou nejmenších čtverců. Je diskutována volba optimálních parametrů p a alpha pro konečné Fourierovy řady se zobecněnými Laguerrovými funkcemi. Na příkladech je porovnána navržená identifikační metoda s metodou nejmenších čtverců. Je zavedena diskrétní Laguerrova transformace a její rozšíření s použitím zobecněných Laguerrových funkcí. Na příkladech je předvedena aplikace diskrétní Laguerrovy transformace na kompresi dat. Je ukázáno, že použití diskrétní Laguerrovy transformace může vést k lepším výsledků při kompresi dat než tradiční postup s využitím diskrétní kosinové transformace.
|
|
|
Curves in Computer Graphics
Míchal, Luboš ; Zuzaňák, Jiří (referee) ; Venera, Jiří (advisor)
This work deal with proposal and implementation demonstrational application, that will be instrumental towards demonstration curves used in computer graphic. Application is created in language C++ in environment Visual Studio 2005. By the help of those application can be individual steps of calculation watch and set control point. After it is possible watch differences among single used algorithms. Aim work is put near individual curves potential interested person about this theme.
|
|
|
Interpolation with NURBS curves
Škvarenina, Ľubomír ; Rajmic, Pavel (referee) ; Zátyik, Ján (advisor)
Diploma thesis deals with image interpolation. The aim of this work is to study theoretically and then describe the nature of the various methods of image interpolation and some of them implemented in the program MATLAB. The introductory part of this work theoretically closer to important terms that are closely related to this topic of digital image processing sufficient to understand the principle. In the following of the thesis will be discussed all of today's commonly used method of image interpolation. Will hear all about the method of image interpolation using nearest neightbor interpolation and image help of polynimals such as (bi)linear, (bi)quadratic and (bi)kubic method. Then work theoretically analyzes the theory of individual species curves and splines. More specifically, coming to their most frequently used variants of B-spline curves and ther generalizations called NURBS, with addressing the problem of interpolating these curves. The final chapter consists of the results achieved in the program MATLAB.
|
|
|
Rings of order p^2 and p^3
Haluza, Vít ; Hrdina, Jaroslav (referee) ; Kureš, Miroslav (advisor)
This Bachelor thesis deals with classification and studying of properties of rings of order p^2 and p^3 (p is prime). Terms such as ring ideal or polynomial over finite field are introduced and used in this thesis. Apart from abstract unspecified rings, some special types of finite rings are also mentioned and classified. Program package, which is able to automatically classify given ring of order p^2 is also part of this thesis.
|
guest ::
