This master's thesis will take us through theoretical procedure that allows us to determine the distance of an object by stereoscopic sensor. Part of this work presents the description of the steps to achieve image of objects, calibraton and rectification. At the next part our study provides an overview of algortihms for creating disparity maps and determining the distance of the object from sensor. In the following part of thesis deals with the implementation of these processes into aplication which aim is to measure the distance.

This master's thesis will take us through theoretical procedure that allows us to determine the distance of an object by stereoscopic sensor. Part of this work presents the description of the steps to achieve image of objects, calibraton and rectification. At the next part our study provides an overview of algortihms for creating disparity maps and determining the distance of the object from sensor. In the following part of thesis deals with the implementation of these processes into aplication which aim is to measure the distance.

TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra

TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra

This work presents a system for semi-autonomous optical localization of distant moving targets using multiple positionable cameras. The cameras were calibrated and stationed using custom designed calibration targets and methodology with the objective to alleviate the main sources of errors which were pinpointed in thorough precision analysis. The detection of the target is performed manually, while the visual tracking is automatic and it utilizes two state-of-the-art approaches. The estimation of the target location in 3-space is based on multi-view triangulation working with noisy measurements. A basic setup consisting of two camera units was tested against static targets and a moving terrestrial target, and the precision of the location estimation was compared to the theoretical model. The modularity and portability of the system allows fast deployment in a wide range of scenarios including perimeter monitoring or early threat detection in defense systems, as well as air traffic control in public space.

The aim of the master’s thesis was t odevelop alternative solutions supporting steel structure of the railway bridge on the undermined area. The range of single fields were chosen based on the location of existing substructures. Reducing the width of bridge openings were not allowed. Based on the geodetic survey plans were drawn up clear of the current state. On the basis of specifications for developing a detailed process was chosen variant Gerber’s beam reinforced with an arch in mean field. For this variant was performed structural analysis of the main parts of the main structure of the bridge, which was calculated with the effects of undermining. For variant Gerber’s beam were made clear drawings and drawing details of the selected steel bridge construction (new state). Further, detailed analysis of selected structural detail was made. Specifically, connecting rod to the main beam, which was designed optimal shape and thickness of the joints plate with a suitable radius of the firing to avoid plastification of the material in this area. Variant of the continuous beam without joints was prepared to. It has been observed, what is the effect of undermining on the stress in the construction of the bridge - was confronted with the effects on Gerber’s beam. To reduce stress in the construction of the bridge and compliance of ultimate state of applicability of the main beam has been designed bearing adjustment and after considering several options its implementation too. The economic comparison between the two variants was conducted. The assembling procedure was designed for both types of bridge structures. In the technical report we can read about due to the intention of building a new bridge and further we can find there other important technical information. In conclusion of the master’s thesis there has been recommended for the construction specific variant – from the perspective of an investor, and from the static aspect-view of the designer.