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Fingerprint biometry
Filla, David ; Drahanský, Martin (referee) ; Fedra, Petr (advisor)
This project deals with fingerprint biometrics. Describes the origin and significance of ridges. Project denote the significance and detection of singular points. The way of classication fingerprint to the vlase usány by the singular points. It contains a list of types of minutiae and their detection. There is basic methods for matching fingerprints. The minutae-based matching method is realize in program Matlab.
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Biometric fingerprint identification
Ruttkay, Michal ; Smital, Lukáš (referee) ; Vítek, Martin (advisor)
This thesis describes the anatomical characteristics of fingerprints and their applications in identifying the person. The theoretical part describes the importance of papillary lines on fingerprints, statistical analysis and pre-processing of images in particular. The practical section provides the necessary operations to compare fingerprints. The implementation was done in Matlab.
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Asymptotic stability of systems of linear ordinary differential equations in engineering
Mašek, Jakub ; Opluštil, Zdeněk (referee) ; Tomášek, Petr (advisor)
This bachelors thesis is dealing with stability of system of linear ordinary dierential equations and specially lyapunov stability and asymtotic stability.The are established necessary concepts from the theory of stability and form systems of dierential equations at rst. Furthermore there are listed basic methods for determining the stability of linear dierential equations with constant coecients and they are compared. The next part of thesis is dedicated to trajectory in plane with focus on isolated singular points. At the end are two technical applications and they are linked sections and oscillators.
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System of autonomous differential equations
Benáčková, Jana ; Tomášek, Petr (referee) ; Opluštil, Zdeněk (advisor)
In his work dealing with applications, systems theory of autonomous differential equations in biology to the analysis model of coexistence of two populations. Mathematical models are described in general non-linear autonomous system of differential equations. I introduced the classification of types of singular points that are important for the following solutions to specific models. In the last part is an overview of the most famous models of the two populations (predator × prey) and specific models for the communities of invertebrate animals and mammals.
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Stability analysis of systems of ordinary differential equations
Trejtnar, Miloš ; Opluštil, Zdeněk (referee) ; Tomášek, Petr (advisor)
This thesis deals with a stability analysis of the first order systems of ordinary differential equations. There are introduced some stability approaches in the thesis and they are discussed in the several examples. The attention is focused to the case of linear autonomous systems, where the classification of the singular points is realized. The thesis is closed by the application of the stability theory in mathematical model of electric current conduction in a primary and secondary coil of a transformer.
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Periodic solutions to differential equations in modelling of motion of mechanical systems
Koukalová, Kateřina ; Nechvátal, Luděk (referee) ; Šremr, Jiří (advisor)
This thesis focuses on modelling the motion of mechanical systems using differential equations. The mechanical system is represented by a charged pendulum attracted by two charged particles. The thesis deals with the analysis of the differential equation describing the motion of the pendulum, in particular the singular points of the studied equation. We determine their number, type and stability. Based on the values of the parameters of the mechanical system, the singular points differ, phase portraits are drawn for each case.
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Structure and approximation of real planar algebraic curves
Blažková, Eva ; Šír, Zbyněk (advisor)
Finding a topologically accurate approximation of a real planar algebraic curve is a classic problem in Computer Aided Geometric Design. Algorithms describing the topology search primarily the singular points and are usually based on algebraic techniques applied directly to the curve equation. In this thesis we propose a more geometric approach, taking into account the subsequent high-precision approximation. Our algorithm is primarily based on the identification and approximation of smooth monotonous curve segments, which can in certain cases cross the singularities of the curve. To find the characteristic points we use not only the primary algebraic equation of the curve but also, and more importantly, its implicit support function representation. Using the rational Puiseux series, we describe local properties of curve branches at the points of interest and exploit them to find their connectivity. The support function representation is also used for an approximation of the segments. In this way, we obtain an approximate graph of the entire curve with several nice properties. It approximates the curve within a given Hausdorff distance. The actual error can be measured efficiently. The ap- proximate curve and its offsets are piecewise rational. And the question of topological equivalence of the...
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Structure and approximation of real planar algebraic curves
Blažková, Eva ; Šír, Zbyněk (advisor)
Finding a topologically accurate approximation of a real planar algebraic curve is a classic problem in Computer Aided Geometric Design. Algorithms describing the topology search primarily the singular points and are usually based on algebraic techniques applied directly to the curve equation. In this thesis we propose a more geometric approach, taking into account the subsequent high-precision approximation. Our algorithm is primarily based on the identification and approximation of smooth monotonous curve segments, which can in certain cases cross the singularities of the curve. To find the characteristic points we use not only the primary algebraic equation of the curve but also, and more importantly, its implicit support function representation. Using the rational Puiseux series, we describe local properties of curve branches at the points of interest and exploit them to find their connectivity. The support function representation is also used for an approximation of the segments. In this way, we obtain an approximate graph of the entire curve with several nice properties. It approximates the curve within a given Hausdorff distance. The actual error can be measured efficiently. The ap- proximate curve and its offsets are piecewise rational. And the question of topological equivalence of the...
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Structure and approximation of real planar algebraic curves
Blažková, Eva ; Šír, Zbyněk (advisor) ; Lávička, Miroslav (referee) ; Surynková, Petra (referee)
Finding a topologically accurate approximation of a real planar algebraic curve is a classic problem in Computer Aided Geometric Design. Algorithms describing the topology search primarily the singular points and are usually based on algebraic techniques applied directly to the curve equation. In this thesis we propose a more geometric approach, taking into account the subsequent high-precision approximation. Our algorithm is primarily based on the identification and approximation of smooth monotonous curve segments, which can in certain cases cross the singularities of the curve. To find the characteristic points we use not only the primary algebraic equation of the curve but also, and more importantly, its implicit support function representation. Using the rational Puiseux series, we describe local properties of curve branches at the points of interest and exploit them to find their connectivity. The support function representation is also used for an approximation of the segments. In this way, we obtain an approximate graph of the entire curve with several nice properties. It approximates the curve within a given Hausdorff distance. The actual error can be measured efficiently. The ap- proximate curve and its offsets are piecewise rational. And the question of topological equivalence of the...
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Biometric fingerprint identification
Ruttkay, Michal ; Smital, Lukáš (referee) ; Vítek, Martin (advisor)
This thesis describes the anatomical characteristics of fingerprints and their applications in identifying the person. The theoretical part describes the importance of papillary lines on fingerprints, statistical analysis and pre-processing of images in particular. The practical section provides the necessary operations to compare fingerprints. The implementation was done in Matlab.
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