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National Repository of Grey Literature 3 records found  Search took 0.00 seconds. 
Geometric surface modeling
 Adámková, Barbora ; Martišek, Dalibor (referee) ; Štarha, Pavel (advisor)
The Bachelor thesis deals with display geometric surfaces on a computer in parallel projection and central projection. It includes part of mathematical theory which is necessary for definition of given projection. There are couple of important terms defined such as euclidean space, projective space, surfaces and elementary operations. The thesis also includes description of applications development for display geometric surfaces by using the author's own procedures and functions (so-called library) in Delphi 7 and by using OpenGL library. This Bachelor thesis result is the writer's own implementation of described processes by applications development.
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Bounds of number of empty tetrahedra and other simplices
 Reichel, Tomáš ; Valtr, Pavel (advisor) ; Balko, Martin (referee)
Let M be a finite set of random uniformly distributed points lying in a unit cube. Every four points from M make a tetrahedron and the tetrahedron can either contain some of the other points from M, or it can be empty. This diploma thesis brings an upper bound of the expected value of the number of empty tetrahedra with respect to size of M. We also show how precise is the upper bound in comparison to an approximation computed by a straightforward algorithm. In the last section we move from the three- dimensional case to a general dimension d. In the general d-dimensional case we have empty d-simplices in a d-hypercube instead of empty tetrahedra in a cube. Then we compare the upper bound for d-dimensional case to the results from another paper on this topic. 1
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Geometric surface modeling
 Adámková, Barbora ; Martišek, Dalibor (referee) ; Štarha, Pavel (advisor)
The Bachelor thesis deals with display geometric surfaces on a computer in parallel projection and central projection. It includes part of mathematical theory which is necessary for definition of given projection. There are couple of important terms defined such as euclidean space, projective space, surfaces and elementary operations. The thesis also includes description of applications development for display geometric surfaces by using the author's own procedures and functions (so-called library) in Delphi 7 and by using OpenGL library. This Bachelor thesis result is the writer's own implementation of described processes by applications development.
Detailed record

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