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Mathematical model of road geometrics
Krist, Thomas ; Kokrda, Lukáš (referee) ; Porteš, Petr (advisor)
This bachelor deals with road modeling. At the beginning there is a short overview of the history, which explains the context of historical events and road communications. In the next chapter there are two road models described. First is a model, which by its principle reminds the finite element method and the second is a geometric model, which is described by geometric curves. In this work, emphasis is placed on the second method, which is described in detail. In Chapter 5, a road model is finally constructed and described by equations.
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Mathematical description of vehicle motion trajectory
Lorenczyk, Jiří ; Popela, Pavel (referee) ; Porteš, Petr (advisor)
The goal of this thesis is to nd types of curves which would allow for the construction of a path that could be traversed by a vehicle. It seems that a minimal constraint for such a path is the continuity of curve's curvature. This leads to a closer look at the three types of curves: Clothoids, which are able to smoothly connect straights with arcs of a constant curvature, interpolation quintic splines, which are C2 smooth in the interpolation nodes and -splines, these belong to the family of quintic polynomial curves too, however, they are characterised by the vector of parameters which modies the shape of the curve. The thesis is accompanied by an application allowing for manual construction of the path composed of spline curves.
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Aproximation of turning path boundaries
Ondřejová, Barbora ; Všetečka, Martin (referee) ; Holcner, Petr (advisor)
In this bachelor thesis, attention will be paid to the requirements for movement of the model vehicle and its geometric characteristics. Methods of calculation for the defined trajectory of a standard vehicle will be determined and described here, as well as possible ways of approximating the trajectory of the model vehicle using circular arcs.
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Mathematical description of vehicle motion trajectory
Lorenczyk, Jiří ; Popela, Pavel (referee) ; Porteš, Petr (advisor)
The goal of this thesis is to nd types of curves which would allow for the construction of a path that could be traversed by a vehicle. It seems that a minimal constraint for such a path is the continuity of curve's curvature. This leads to a closer look at the three types of curves: Clothoids, which are able to smoothly connect straights with arcs of a constant curvature, interpolation quintic splines, which are C2 smooth in the interpolation nodes and -splines, these belong to the family of quintic polynomial curves too, however, they are characterised by the vector of parameters which modies the shape of the curve. The thesis is accompanied by an application allowing for manual construction of the path composed of spline curves.
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|
|
Aproximation of turning path boundaries
Ondřejová, Barbora ; Všetečka, Martin (referee) ; Holcner, Petr (advisor)
In this bachelor thesis, attention will be paid to the requirements for movement of the model vehicle and its geometric characteristics. Methods of calculation for the defined trajectory of a standard vehicle will be determined and described here, as well as possible ways of approximating the trajectory of the model vehicle using circular arcs.
|
|
|
Mathematical model of road geometrics
Krist, Thomas ; Kokrda, Lukáš (referee) ; Porteš, Petr (advisor)
This bachelor deals with road modeling. At the beginning there is a short overview of the history, which explains the context of historical events and road communications. In the next chapter there are two road models described. First is a model, which by its principle reminds the finite element method and the second is a geometric model, which is described by geometric curves. In this work, emphasis is placed on the second method, which is described in detail. In Chapter 5, a road model is finally constructed and described by equations.
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