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Upward view as a sensor in mobile robotics
Musílek, Jan ; Iša, Jiří (advisor) ; Krajíček, Václav (referee)
The use of a wide spectrum of sensors is an inherent aspect of mobile robotics. This work examines nontraditional use of the camera, directed vertically upwards, as a sensor for orienting in space. It describes various objects that can be detected in the camera image, focusing on so-called points of interest, and their pairing between two images. Based on the approximate solution of a system of linear equations, we provide information on the relative and absolute position of the robot. The work provides analysis of pairs of images, differing only the robot's rotation in place over various angles. The goal was to demonstrate the possibility of substitution of the electronic compass in cases of strong electromagnetic inter ference. Data from the image analysis was compared with that from the compass, allowing determination of the accuracy of the proposed method. The result is that upward view can be indeed used as a replacement for the electronic compass. Additionally, several modifications to the images are proposed. We examine impact of these modification on the accuracy of the suggested method. Finally, attention is given to the robotic platform on which the experiments were carried out, and the results of the measurements are interpreted.
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Decompositions of graphs into connected subgraphs
Musílek, Jan ; Pangrác, Ondřej (advisor) ; Fiala, Jiří (referee)
In 2003 at Eurocomb conference J. Barát and C. Thomassen presented definition and basic results in edge partitioning of graphs. Edge partitioning is basically possibility to cover edges of the graph using connected subgraphs of prescribed size. Graph has edge partitioning property if and only if it can be covered for all prescribed subgraphs sizes. Our work is focused on edge partitioning, in which there are less results known, compared to vertex partitioning. We proof, that edge partitioning is implied by existence of open dominating trail and therefore with edge 4-connectivity. We also define limited version of edge partitioning, spectrum of partitioning and we proof some claims that are true for all graphs. We also explore limited partitioning on some specific classes of graphs.
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Upward view as a sensor in mobile robotics
Musílek, Jan ; Iša, Jiří (advisor) ; Krajíček, Václav (referee)
The use of a wide spectrum of sensors is an inherent aspect of mobile robotics. This work examines nontraditional use of the camera, directed vertically upwards, as a sensor for orienting in space. It describes various objects that can be detected in the camera image, focusing on so-called points of interest, and their pairing between two images. Based on the approximate solution of a system of linear equations, we provide information on the relative and absolute position of the robot. The work provides analysis of pairs of images, differing only the robot's rotation in place over various angles. The goal was to demonstrate the possibility of substitution of the electronic compass in cases of strong electromagnetic inter ference. Data from the image analysis was compared with that from the compass, allowing determination of the accuracy of the proposed method. The result is that upward view can be indeed used as a replacement for the electronic compass. Additionally, several modifications to the images are proposed. We examine impact of these modification on the accuracy of the suggested method. Finally, attention is given to the robotic platform on which the experiments were carried out, and the results of the measurements are interpreted.
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