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Testing images creation program with defined sub-pixel shift and resize precision
Málková, Eliška ; Martišek, Dalibor (referee) ; Hoderová, Jana (advisor)
Tato práce se zabývá generování testovacích sub-pixelově posunutých obrazu se známým posuvem. Ty umožní najít vhodné parametry váhové funkce, díky nimž se zpřesní hledání posuvu dvou obrazu. Dále je využito konvoluce s proměnným jádrem ke generování obrazu se změněným měřítkem. K definici konvoluce pro obraz využíváme Fourierovu transformaci. Práce zahrnuje všechnu potřebnou teorii a je přiložen program, který slouží ke generování posunutých obrazů a obrazů se změněným měřítkem.
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Animation and calculation of cyclic curves in Maple
Novák, Jiří ; Hoderová, Jana (referee) ; Procházková, Jana (advisor)
The main goal of the thesis was to deal with the topic of cyclic curves and creating interactive maplets that would illustrate creating and characteristics of these curves. The final version includes maplet with plotting parametric curve, maplet with computing curvature, maplet for all the types of cyclic curves, set of maplets for interactive change of parameters and set of maplets that would illustrate creating each cyclic curve (with animation). The thesis also contains a theoretical part dedicated to the theory of cyclic curves.
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The behavior of functions of several variables in terms of extremes
Beseda, Jiří ; Štarha, Pavel (referee) ; Hoderová, Jana (advisor)
Thesis deals with problems of extreme searching in multivariable calculus. Searching maxima/minima of the function can be moreover specified to local extremes, global extremes or strict extremes. Computations are mainly based on first derivations of the function that are set to be zero, in order to obtain the stationary point. Stationary point is point, where maxima or minima of the function is expected.
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Extremes of Single and Multi-Variable Functions
Floderová, Hana ; Hoderová, Jana (referee) ; Štarha, Pavel (advisor)
Extremes of single and multi-variable functions are problems in which we try to solve maximum or minimum of function. Maximum and minimum of function can be local, global and by the functions of multi-variable bounded. For calculation help us derivative of function, which we put equal to zero and we get out a stationary point. The stationary point is a point, in which we suppose existence of maximum or minimum of function.
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Integral Transformations Using Vector Operators
Joch, Lukáš ; Štarha, Pavel (referee) ; Hoderová, Jana (advisor)
This Bachelor`s thesis is devoled to the vector operotrs. The operators plays the big role in the mathematical notation of different physical processes. The main aim od this paper is to show various vector operators and their properties. At the end are the integral theorems presented, concretely Gauss-Ostrogradsky theorem, Green`s theorem and Stokes`s theorem.
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