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Non-Euclidian Geometries in Computer Games
Jůda, Štěpán ; Hůlka, Tomáš (referee) ; Dobrovský, Ladislav (advisor)
The work deals with the origin and description of non-Euclidean geometry and its division into hyperbolic and elliptic non-Euclidean geometry. It also discusses the behavior of geometric elements from Euclidean geometry in non-Euclidean geometries. Another subject of this work is the classification of computer games that use non-Euclidean geometry. The last point is the process of creating my own computer game.
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Modern Methods for Tree Graph Structures Rendering
Zajíc, Jiří ; Polok, Lukáš (referee) ; Zemčík, Pavel (advisor)
Tento projekt se věnuje problematice zobrazení velkých hierarchických struktur, zejména možnostem vizualizace stromových grafů. Cílem je implementace hyperbolického prohlížeče ve webovém prostředí, který využívá potenciálu neeukleidovské geometrie k promítnutí stromu na hyperbolickou rovinu. Velký důraz je kladen na uživatelsky přívětivou manipulaci se zobrazovaným modelem a snadnou orientaci.
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Non-Euclidean Raytracer
Kostelník, Martin ; Vlnas, Michal (referee) ; Starka, Tomáš (advisor)
This bachelor's thesis deals with the real-time ray tracing algorithm enhanced by non-euclidean spaces. The goal is to design and implement an interactive application, which allows the user to move around in a 3D scene. All computations are performed by the CPU. In total, four non-euclidean elements are implemented. These include portals, warped tunnels, shrinking and rotation tunnels. The result of this project is an interactive application consisting of eight sample scenes demonstrating the non-euclidean elements.
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Non-Euclidean VR Game
Vašek, Matej ; Milet, Tomáš (referee) ; Vlnas, Michal (advisor)
This work deals with the design and implementation of a logical genre video game which experiments with non-euclidean space. Such space is characterized by the fact that it often denies the basic geometric rules of conventional euclidean space. The game is designed for one player and is intended for peripheries of virtual reality. The implementation of the game was carried out in the development environment Unity with the use of the C# programming language. The work contains informations about the principles and methods of creating non-euclidean elements as well as solutions to general problems associated with traditional VR game. One of the main mechanics of the game is the so-called portal, which can be described as a surface connecting two distant spaces. The text contains not only the concept of implementing such a mechanism but also surrounding aspects such as realistic physical interaction, visual representation, ways of teleporting between portals and various optimization techniques that allow efficient implementation of such a system. The final game also contains several levels in the form of logical puzzle levels that demonstrate various ways of using portals. Such a system is not only usable as a game mechanic that is presented to the user but also as an assistive tool that facilitates the logical arrangement of a 3D scene or as a way to expand the often limited physical VR space.
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Non-Euclidian Geometries in Computer Games
Jůda, Štěpán ; Hůlka, Tomáš (referee) ; Dobrovský, Ladislav (advisor)
The work deals with the origin and description of non-Euclidean geometry and its division into hyperbolic and elliptic non-Euclidean geometry. It also discusses the behavior of geometric elements from Euclidean geometry in non-Euclidean geometries. Another subject of this work is the classification of computer games that use non-Euclidean geometry. The last point is the process of creating my own computer game.
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Non-Euclidean Raytracer
Kostelník, Martin ; Vlnas, Michal (referee) ; Starka, Tomáš (advisor)
This bachelor's thesis deals with the real-time ray tracing algorithm enhanced by non-euclidean spaces. The goal is to design and implement an interactive application, which allows the user to move around in a 3D scene. All computations are performed by the CPU. In total, four non-euclidean elements are implemented. These include portals, warped tunnels, shrinking and rotation tunnels. The result of this project is an interactive application consisting of eight sample scenes demonstrating the non-euclidean elements.
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Modern Methods for Tree Graph Structures Rendering
Zajíc, Jiří ; Polok, Lukáš (referee) ; Zemčík, Pavel (advisor)
Tento projekt se věnuje problematice zobrazení velkých hierarchických struktur, zejména možnostem vizualizace stromových grafů. Cílem je implementace hyperbolického prohlížeče ve webovém prostředí, který využívá potenciálu neeukleidovské geometrie k promítnutí stromu na hyperbolickou rovinu. Velký důraz je kladen na uživatelsky přívětivou manipulaci se zobrazovaným modelem a snadnou orientaci.
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