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Rotational quadric surfaces
Pavlíčková, Lenka ; Chvalinová, Ludmila (referee) ; Lovečková, Mája (advisor)
This text is especially intended as an educational material for students of Construction and computer geometry, however it can be interesting also for general public. The thesis deals rotational quadric surfaces, includes general common properties of rotational quadric surfaces, processes of procedure and its drawing, especially drawing of sections, constructions of tangent plane and analytical representation of surface. It contains list of quadric surfaces which are not rotational and in conclusion, it contains application of rotational quadric surfaces practically. The all thesis is coupled with pictures of two-plane projection and 3-D pictures of program Maple.
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Ovality measurement of extruded fiber using three cameras
Loučka, Pavel ; Martišek, Dalibor (referee) ; Štarha, Pavel (advisor)
One of the important parameters observed during extruded fibre fabrication is its diameter. The diameter can be measured with a single scanning camera assuming that the fibre section has a circular shape. As proved in practice, another important parameter is ovality, that is the rate of fibre flattening. This paper assumes that the fibre section shape is elliptical. In such a case, at least three different views on examined fibre are needed. Mathematical part of this paper is concerned with analytical description of fibre ovality measurement using two different approaches based on the knowledge of linear algebra, projective geometry and conic sections theory. Main goal of this paper is thus to use both mathematical theory and image analysis methods for ovality and diameter determination. Precise calcluation of such quantities is, however, conditioned on precise camera system calibration, which is described in the paper as well. Additionally, the work contains a brief mention of technical realization of ovality measurement and its possible difficulties.
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Extruded fibers ovality measurement
Loučka, Pavel ; Procházková, Jana (referee) ; Štarha, Pavel (advisor)
One of the important parameters observed during extruded fibre fabrication is its diameter. The diameter can be measured with a single scanning camera assuming that the fibre section has a circular shape. As proved in practice, another important parameter is ovality, that is the rate of fibre flattening. This paper assumes that the fibre section shape is elliptical. In such a case, at least three different views on examined fibre are needed. This paper deals with analytical description of fibre ovality measurement using two different approaches based on the principles of linear algebra and projective geometry. As a result, a considerable part of the work is devoted to these branches of mathematics with particular regard to analytical conics theory. Additionally, the work contains a brief mention of technical realization of ovality measurement and its possible difficulties.
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Ovality measurement of extruded fiber using three cameras
Loučka, Pavel ; Martišek, Dalibor (referee) ; Štarha, Pavel (advisor)
One of the important parameters observed during extruded fibre fabrication is its diameter. The diameter can be measured with a single scanning camera assuming that the fibre section has a circular shape. As proved in practice, another important parameter is ovality, that is the rate of fibre flattening. This paper assumes that the fibre section shape is elliptical. In such a case, at least three different views on examined fibre are needed. Mathematical part of this paper is concerned with analytical description of fibre ovality measurement using two different approaches based on the knowledge of linear algebra, projective geometry and conic sections theory. Main goal of this paper is thus to use both mathematical theory and image analysis methods for ovality and diameter determination. Precise calcluation of such quantities is, however, conditioned on precise camera system calibration, which is described in the paper as well. Additionally, the work contains a brief mention of technical realization of ovality measurement and its possible difficulties.
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Constructions with imaginary elements in projective geometry
Řada, Jakub ; Krump, Lukáš (advisor) ; Zamboj, Michal (referee)
In this thesis we study construction with imaginary elements. First we define some basic construction with imaginary elements. Then we construct conic or we make some construction with conic. We build this thesis on examples. We take some assignment, where we discover and show, how to get five elements for conic. For example we show intersection of a real/complex line with a conic or we build some knowledge on examples, that we use in following constructions with imaginary assignment. 3
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Extruded fibers ovality measurement
Loučka, Pavel ; Procházková, Jana (referee) ; Štarha, Pavel (advisor)
One of the important parameters observed during extruded fibre fabrication is its diameter. The diameter can be measured with a single scanning camera assuming that the fibre section has a circular shape. As proved in practice, another important parameter is ovality, that is the rate of fibre flattening. This paper assumes that the fibre section shape is elliptical. In such a case, at least three different views on examined fibre are needed. This paper deals with analytical description of fibre ovality measurement using two different approaches based on the principles of linear algebra and projective geometry. As a result, a considerable part of the work is devoted to these branches of mathematics with particular regard to analytical conics theory. Additionally, the work contains a brief mention of technical realization of ovality measurement and its possible difficulties.
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Rotational quadric surfaces
Pavlíčková, Lenka ; Chvalinová, Ludmila (referee) ; Lovečková, Mája (advisor)
This text is especially intended as an educational material for students of Construction and computer geometry, however it can be interesting also for general public. The thesis deals rotational quadric surfaces, includes general common properties of rotational quadric surfaces, processes of procedure and its drawing, especially drawing of sections, constructions of tangent plane and analytical representation of surface. It contains list of quadric surfaces which are not rotational and in conclusion, it contains application of rotational quadric surfaces practically. The all thesis is coupled with pictures of two-plane projection and 3-D pictures of program Maple.
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