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Special Surfaces
Ochodnický, Erik ; Vašík, Petr (referee) ; Doupovec, Miroslav (advisor)
The aim of this thesis is to create an overview of special surfaces and to define their characteristics. Categories of surfaces that I found the most important are surfaces of revolution, minimal, with constant Gaussian curvature, and finally Clairaut surfaces. For every category I'll introduce, in my opinion, the most important examples of surfaces along with their parametrizations and I'll describe them. Surfaces will be accompanied by images, created in MATLAB. In the last part I'm going to focus on Clairot patches, on finding geodesics on these surfaces and their description. I'll show numerous original images of geodesics on diverse surfaces.
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Surfaces with constant Gauss curvature
Zemanová, Silvie ; Kureš, Miroslav (referee) ; Doupovec, Miroslav (advisor)
This bachelor thesis deals with description of surfaces with constant Gaussian curvature and its main goal is to classify these surfaces. The first part is devoted to the classification of surfaces of revolution with constant Gaussian curvature. The next part consists of description of selected surfaces with zero Gaussian curvature, on which is shown that the same shape of the first fundamental form can be achieved. The last part deals with the classification of all surfaces with zero Gaussian curvature. For easier understanding of the text, the thesis includes images of selected surfaces.
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Tooth Detection on Jaw 3D Computer Polygonal Model
Filip, Jan ; Šiler, Ondřej (referee) ; Kršek, Přemysl (advisor)
Aim of this bachelor thesis is a proposal and an implementation of a tool for the tooth detection on a 3D computer polygonal jaw model, which will allow to a user to obtain the shape of teeth on the jaw. This tool should to help in the stomatology. In the event of any inaccurary in the detection it will be possible to change certain parameters and methods, by which will be possible to influence the accuracy of detection. Program will import models in the STL format and subsequently will allow to the user to see the result of the detection in a browser. Teeth detection models will be possible to export single or together, in the STL format. The implementation language will be C++, compiler GNU C in distribution MinGW, toolkit to work with the 3D model will MDSTk and primarily its part VectorEntity. For imaging of thr 3D scene will be used OpenSceneGraph toolkit. Application will be developed primarily for MS Windows operating system but thanks to using GNU tools should be portable at the level of source codes to anothers operating systems.
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Surfaces with constant Gauss curvature
Zemanová, Silvie ; Kureš, Miroslav (referee) ; Doupovec, Miroslav (advisor)
This bachelor thesis deals with description of surfaces with constant Gaussian curvature and its main goal is to classify these surfaces. The first part is devoted to the classification of surfaces of revolution with constant Gaussian curvature. The next part consists of description of selected surfaces with zero Gaussian curvature, on which is shown that the same shape of the first fundamental form can be achieved. The last part deals with the classification of all surfaces with zero Gaussian curvature. For easier understanding of the text, the thesis includes images of selected surfaces.
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Special Surfaces
Ochodnický, Erik ; Vašík, Petr (referee) ; Doupovec, Miroslav (advisor)
The aim of this thesis is to create an overview of special surfaces and to define their characteristics. Categories of surfaces that I found the most important are surfaces of revolution, minimal, with constant Gaussian curvature, and finally Clairaut surfaces. For every category I'll introduce, in my opinion, the most important examples of surfaces along with their parametrizations and I'll describe them. Surfaces will be accompanied by images, created in MATLAB. In the last part I'm going to focus on Clairot patches, on finding geodesics on these surfaces and their description. I'll show numerous original images of geodesics on diverse surfaces.
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|
|
Tooth Detection on Jaw 3D Computer Polygonal Model
Filip, Jan ; Šiler, Ondřej (referee) ; Kršek, Přemysl (advisor)
Aim of this bachelor thesis is a proposal and an implementation of a tool for the tooth detection on a 3D computer polygonal jaw model, which will allow to a user to obtain the shape of teeth on the jaw. This tool should to help in the stomatology. In the event of any inaccurary in the detection it will be possible to change certain parameters and methods, by which will be possible to influence the accuracy of detection. Program will import models in the STL format and subsequently will allow to the user to see the result of the detection in a browser. Teeth detection models will be possible to export single or together, in the STL format. The implementation language will be C++, compiler GNU C in distribution MinGW, toolkit to work with the 3D model will MDSTk and primarily its part VectorEntity. For imaging of thr 3D scene will be used OpenSceneGraph toolkit. Application will be developed primarily for MS Windows operating system but thanks to using GNU tools should be portable at the level of source codes to anothers operating systems.
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