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Barevnost grafů na plochách
Tůma, Vojtěch ; Dvořák, Zdeněk (advisor) ; Fiala, Jiří (referee)
In this thesis we deal with extending a 4-coloring of a cycle into the rest of the graph. We prove that for plane 3-colorable graphs such that every face except the outer face O is a triangle and O has length 4 or 5, the question of extendability of a precoloring of O reduces to extendability into 3 small basic graphs. We also classify the situation when there is an inner face of size 5 in the graph in similar terms. 1
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Subdivision Surfaces
Otočka, Dávid ; Španěl, Michal (referee) ; Sumec, Stanislav (advisor)
The object of my bachelor work was to create a library, that will realise the technique of Subdivision Surfaces and demonstrate the functionality of the library on different examples. The library as well as the program is written by using C++ language, for window creation is used WinAPI and for work with the graphics OpenGL. There are three implemented algorithms and those are Butterfly, Loop and Catmull-Clark. For demonstration are used few basic objects, that are implemented directly in the library.
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Geodesics
Čambalová, Kateřina ; Tomáš, Jiří (referee) ; Doupovec, Miroslav (advisor)
The goal of the thesis is to create an overivew of geodesics. At the beginning of their study, they were considered shortest paths connecting two points on surfaces. In the thesis we will show more of the complexity of the term and introduced the properties, some uses of the geodesics and methods of their computation. Later, the Clairaut patches and their geodesics will be analysed. Clairaut patches are characterized by a specific property which makes computation of geodesics simpler. 3D plots of some Clairaut patches and their geodesics are also included.
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Hydrophobization of sandstone and limestone materials with a thin hydrophilic coating
Rathouský, Jiří
Hydrophobization of the surface of sandstone and limestone materials is an effective method of their protection against the effects of weathering. Effective hydrophobizing agents are solutions of alkyltrialkoxysilanes, especially methyl- or octyltriethoxysilane in a suitable organic solvent (in particular white spirit), and solutions containing polymeric organosilicon compounds also in mineral spirits. It is a major disadvantage of hydrophobization that there is a change in the original appearance of the material due to the increased deposition of dirt on the hydrophobic surface, which is unevenly washed away by rain water, which results in unsightly stains on the surface. Another general disadvantage of hydrophobization is that it renders it very difficult to impossible to carry out another treatment particularly with hydrophilic agents. With the proposed method it is possible to create a thin hydrophilic layer on a hydrophobized surface to ensure the uniform washing away of dirt and to enable the mentioned additional surface treatment. Given that the depth of its removal may be precisely controlled in this process, the hydrophobization will be removed only to the desired depth and will not therefore undermine the effectiveness of the hydrophobization. The new method of hydrophobization of sandstone and limestone materials with a thin hydrophilic coating is based on a two-step process comprising the surface hydrophobization using an agent comprising alkyltrialkoxysilanes or polydimethylsiloxane polymers in an organic solvent to a sufficient depth, and the removal of a thin surface layer of the hydrophobization, bound to the surface of the material, with a thickness of approximately 1 mm.
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Magnetic local measurement of state of thermal refined steel
Skrbek, B. ; Tomáš, Ivan
Magnetic methods application (coercitive force measurement, magnetic induction, MAT, magnetic spot method) investigation of steel structure in the world and Czech Republic. New knowledge of magnetic spot method for application on steels. Principle of magnetic spot method. Results comparison obtained on machined, non-heat-treated, heat-treated and corroded surface. Determination of boundary application conditions. Particular results at appropriation of hardness checking of hardened and tempered sheets and forgings at hardening shop. Recommendation.
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