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3D Triangles Polygonal Mesh Conversion on 3D Spline Surfaces
Jahn, Zdeněk ; Španěl, Michal (referee) ; Kršek, Přemysl (advisor)
This bachelor's thesis deals with the problem of the remeshing of unstructured triangular 3D meshes to more suitable representations ( quadrilateral meshes or spline surfaces ). It explains the basic problems related with the unstructured meshes and the reasons for its solution. It classifies the usable methods, describes the most suitable candidates briefly. It follows the chosen method in detail - both the theoretical matter and the specific implementation.
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Unconventional Signals Oscillators
Hruboš, Zdeněk ; Galajda, Pavol (referee) ; Štork, Milan (referee) ; Petržela, Jiří (advisor)
Dizertační práce se zabývá elektronicky nastavitelnými oscilátory, studiem nelineárních vlastností spojených s použitými aktivními prvky a posouzením možnosti vzniku chaotického signálu v harmonických oscilátorech. Jednotlivé příklady vzniku podivných atraktorů jsou detailně diskutovány. V doktorské práci je dále prezentováno modelování reálných fyzikálních a biologických systémů vykazujících chaotické chování pomocí analogových elektronických obvodů a moderních aktivních prvků (OTA, MO-OTA, CCII ±, DVCC ±, atd.), včetně experimentálního ověření navržených struktur. Další část práce se zabývá možnostmi v oblasti analogově – digitální syntézy nelineárních dynamických systémů, studiem změny matematických modelů a odpovídajícím řešením. Na závěr je uvedena analýza vlivu a dopadu parazitních vlastností aktivních prvků z hlediska kvalitativních změn v globálním dynamickém chování jednotlivých systémů s možností zániku chaosu v důsledku parazitních vlastností použitých aktivních prvků.
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3D Triangles Polygonal Mesh Conversion on 3D Spline Surfaces
Jahn, Zdeněk ; Šiler, Ondřej (referee) ; Kršek, Přemysl (advisor)
In computer graphics we can handle unstructured triangular 3D meshes which are not too usable for processing through their irregularity. In these situations it occurs need of conversion that 3D mesh to more suitable representation. Some kind of 3D spline surface can be proper alternative because it institutes regularity in the form of control points grid and that's why it is more suitable for next processing. During conversion, which is described in this thesis, quadrilateral 3D mesh is constructed at first. This mesh has regular structure but mainly the structure corresponds to structure of control points grid of resulting 3D spline surface. Created quadrilateral 3D mesh can be saved and consequently used in specific modeling applications for T-spline surface creation.
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Lie groups from the point of view of kinematics and applications in robotics
Kalenský, Jan ; Kureš, Miroslav (referee) ; Tomáš, Jiří (advisor)
This diploma thesis deals with the kinematic and robotic implications of Lie theory. In the introductory section, a manifold is defined as a basic element of configuration space. The main body of the thesis deals with the definition of a structure in the configuration space - Lie group. Tangent space with vector field including a structure of Lie algebra is defined to represent velocity. These two structures are connected using exponential mapping. The conclusion of the thesis focuses on fibre space, especially considering principal bundle and principal connection. Throughout the thesis, numerous examples are presented to illustrate the terms used.
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Computer graphics flow visualization methods
Častulíková, Veronika ; Štefan, David (referee) ; Urban, Ondřej (advisor)
Flow visualization is one of the important topics in the scientific visualization, which is a subject of ongoing research. Data obtained by numerical simulations are further analysed to gain a better understanding of fluid flow. With the rapid development of computational simulations, demand for more advanced visualization methods has grown. Basic overview and a detailed description of the fluid flow visualization techniques is introduced in the bachelor thesis. Afterwards, the techniques are applied on data obtained by CFD simulation of a vortex rope in the draft tube swirl generator.
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Lie groups from the point of view of kinematics and applications in robotics
Kalenský, Jan ; Kureš, Miroslav (referee) ; Tomáš, Jiří (advisor)
This diploma thesis deals with the kinematic and robotic implications of Lie theory. In the introductory section, a manifold is defined as a basic element of configuration space. The main body of the thesis deals with the definition of a structure in the configuration space - Lie group. Tangent space with vector field including a structure of Lie algebra is defined to represent velocity. These two structures are connected using exponential mapping. The conclusion of the thesis focuses on fibre space, especially considering principal bundle and principal connection. Throughout the thesis, numerous examples are presented to illustrate the terms used.
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Computer graphics flow visualization methods
Častulíková, Veronika ; Štefan, David (referee) ; Urban, Ondřej (advisor)
Flow visualization is one of the important topics in the scientific visualization, which is a subject of ongoing research. Data obtained by numerical simulations are further analysed to gain a better understanding of fluid flow. With the rapid development of computational simulations, demand for more advanced visualization methods has grown. Basic overview and a detailed description of the fluid flow visualization techniques is introduced in the bachelor thesis. Afterwards, the techniques are applied on data obtained by CFD simulation of a vortex rope in the draft tube swirl generator.
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Pod analysis of stereo PIV data from wake behind an inclined plate
Uruba, Václav ; Procházka, Pavel P.
The motivation of the experiments is to study the flow dynamics and topology behind an airfoil. The airfoil is modeled by a simple flat plate with rounded leading and trailing edges. To obtain an information about the 3D structure of the flow the stereo PIV method is applied in the plain behind the plate oriented perpendicularly to the main flow. The flow dynamics topology could be studied using POD method revealing the most energetic fluctuation topologies. The POD is typically applied on a 2-component vector fields. In the presented paper the POD will be used for 3-component vector field resulting from the stereo PIV method.
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Visualization of the difference between two triangle meshes
Horešovský, Jan ; Pelikán, Josef (advisor) ; Dupej, Ján (referee)
Visualization of the difference between two triangle meshes is useful in geometric morphometrics where the shapes of biological objects such as bones, facial symme- tries and others are studied. Existing visualizations are mostly done by encoding various difference metrics into vertex color. However, this one-dimensional infor- mation is not enough to display multiple metrics at the same time. To overcome this limitation, we implemented an algorithm which employs the techniques of vector field visualization and uses clustered 3D arrows to encode the metrics. Focusing on visual appearance, we applied it in several types of visualizations in an experimental application called MeshDiff. We also conducted a user study of both existing and new visualizations to compare their performance in various use cases and investigate the possibilities for future improvement. 1
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