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National Repository of Grey Literature 3 records found  Search took 0.00 seconds. 
Garticle engine
 Karas, Jakub ; Hrdina, Jaroslav (referee) ; Návrat, Aleš (advisor)
The main goal of this thesis is creation of a particle engine. Unlike classical implementations of particle engines this one uses a modern coordinate-free language – Projective Geometric Algebra (PGA). PGA allows us to replace points in the engine with rigid bodies. Furthermore usage of geometric algebra could reduce both space complexity and computational complexity. In theoretical part of the thesis is presented PGA, a representation of Euclidean transformations in PGA and formulation of equations of rigid body motion in PGA which are basis of the computational part of the engine.
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The use of conformal geometric algebra in the analysis of the image from the omnidirectional camera
 Brdečková, Johanka ; Galaev, Anton (referee) ; Hrdina, Jaroslav (advisor)
This thesis deals with problems in analytical geometry and we use geometric algebras mainly Conformal geometric algebra CGA to solve them. In CGA we can represent spheres and sperical inversions. We use that when creating models of cameras with elliptical, hyperbolic or parabolic mirror.
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Garticle engine
 Karas, Jakub ; Hrdina, Jaroslav (referee) ; Návrat, Aleš (advisor)
The main goal of this thesis is creation of a particle engine. Unlike classical implementations of particle engines this one uses a modern coordinate-free language – Projective Geometric Algebra (PGA). PGA allows us to replace points in the engine with rigid bodies. Furthermore usage of geometric algebra could reduce both space complexity and computational complexity. In theoretical part of the thesis is presented PGA, a representation of Euclidean transformations in PGA and formulation of equations of rigid body motion in PGA which are basis of the computational part of the engine.
Detailed record

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