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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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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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Famous Mathematicians and Their Legacy - Leonard Euler
KOŠÁKOVÁ, Stanislava
The goal of my bachelor's thesis is to introduce the general public, but above all pupils, students, teachers and parents, to one great representative from the ranks of mathematicians who influenced our world. People often think that all knowledge and understanding of mathematics we have from the period of Greek and Roman history or from mathematicians from the Arabian Peninsula. However, this is not true, the great development of mathematics occurred mainly from the 18th century, when mathematics began to dominate the sciences. Many mathematicians have disappeared into the history of time, others will stand on top of the winners in the distant future, because their ideas are still alive and we are constantly working with them and using them. I chose a mathematician who spent his whole life dealing with numbers, calculations and equations. His range of interests was wide and so rich that it is impossible to include even half of his activities in one work. His name is not very well known among people, but we all know his discoveries, established symbols or established mathematical theorems and do not think about who created or invented them. I am talking about the Swiss mathematician, physicist and astronomer Leonard Euler. In the first part of the work, his detailed biography is drawn up, which introduces us to Euler as a person who also had ordinary concerns. In the next part of my bachelor's thesis, I focused on one of the many areas of mathematics that this mathematician was interested in, namely geometry.
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Worksheets for teaching Geometry in the 7th grade of elementary school
NĚMCOVÁ, Věra
Bachelor work is composed from worksheets, which are divided into five main themes: consistency, center symmetry, quadrilateral, triangle and trapezoid and prism. Each chapter is subdivided by sub-topics. Each sub-topics contains a theoretical worksheet, a exercise worksheet and test. At the end of each chapter is included a summary exercise worksheet and summary test of the themes.
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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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|
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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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