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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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Characterization of functions with zero traces via the distance function
Turčinová, Hana ; Nekvinda, Aleš (advisor) ; Edmunds, David Eric (referee)
Consider a domain Ω ⊂ RN with Lipschitz boundary and let d(x) = dist(x, ∂Ω). It is well known for p ∈ (1, ∞) that u ∈ W1,p 0 (Ω) if and only if u/d ∈ Lp (Ω) and ∇u ∈ Lp (Ω). Recently a new characterization appeared: it was proved that u ∈ W1,p 0 (Ω) if and only if u/d ∈ L1 (Ω) and ∇u ∈ Lp (Ω). In the author's bachelor thesis the condition u/d ∈ L1 (Ω) was weakened to the condition u/d ∈ L1,p (Ω), but only in the case N = 1. In this master thesis we prove that for N ≥ 1, p ∈ (1, ∞) and q ∈ [1, ∞) we have u ∈ W1,p 0 (Ω) if and only if u/d ∈ L1,q (Ω) and ∇u ∈ Lp (Ω). Moreover, we present a counterexample to this equivalence in the case q = ∞. 1
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Shadow Price of Air Pollution Emissions in the Czech energy sector - Estimation from Distance Function
Rečka, Lukáš ; Ščasný, Milan (advisor) ; Klimešová, Andrea (referee)
This thesis employs a parametric input distance function that incorporates both desirable and undesirable outputs to provide a more complete representation of the production technology. Based on the Shephard (1970) theory of duality, we derive the shadow prices of undesirable outputs in the Czech energy sector on the data over the period 2002 - 2007. The medians of our shadow prices estimates are 8374, 1198, 2805, 6051 and 8549 € per ton of PM, SO2, NOx, CO and VOC, respectively. We decompose shadow prices estimates and test the hypotheses that the marginal abatement cost decline over time; that marginal abatement cost rice with the declining emission level; and that marginal abatement cost rice with declining emission rate. Key Words: shadow prices, distance function, undesirable outputs, marginal abatement cost JEL classification: C61, D24, Q53
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Characterization of functions with zero traces via the distance function
Turčinová, Hana ; Nekvinda, Aleš (advisor) ; Edmunds, David Eric (referee)
Consider a domain Ω ⊂ RN with Lipschitz boundary and let d(x) = dist(x, ∂Ω). It is well known for p ∈ (1, ∞) that u ∈ W1,p 0 (Ω) if and only if u/d ∈ Lp (Ω) and ∇u ∈ Lp (Ω). Recently a new characterization appeared: it was proved that u ∈ W1,p 0 (Ω) if and only if u/d ∈ L1 (Ω) and ∇u ∈ Lp (Ω). In the author's bachelor thesis the condition u/d ∈ L1 (Ω) was weakened to the condition u/d ∈ L1,p (Ω), but only in the case N = 1. In this master thesis we prove that for N ≥ 1, p ∈ (1, ∞) and q ∈ [1, ∞) we have u ∈ W1,p 0 (Ω) if and only if u/d ∈ L1,q (Ω) and ∇u ∈ Lp (Ω). Moreover, we present a counterexample to this equivalence in the case q = ∞. 1
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Three essays in energy and environmental economics
Rečka, Lukáš ; Ščasný, Milan (advisor) ; Knápek, Jaroslav (referee) ; Van Koten, Silvester (referee) ; Muchapondwa, Edwin (referee)
Three Essays in Energy and Environmental Economics Author: Mgr. Lukáš Rečka Supervisor: Mgr. Milan Ščasný, Ph.D. Academic Year: 2018/2019 Abstract This thesis consists of three articles that share the main theme - energy and environment. The dissertation aims mainly at the Czech energy system and analyses it development after the Velvet Revolution and its possible future development. The first article applies Logarithmic Mean Divisia Index decomposition to analyses the main driving forces of significant reduction in air quality pollutants during the transition of the Czech economy towards market economy in the 1990s. It continues then to investigate how the driving forces affected the emissions volumes during succeeding the post-transition period up to 2016. The second article reacts on the 2015 governmental decision to lift brown coal mining limits in the North Bohemia coal basin. The paper analyses the impacts of maintaining the ban on mining coal reserves and compares them with three alternative options that would each weaken the environmental protections of the ban. The impacts of each of these alternative governmental propostions are analysed on the Czech energy system, the fuel- and the technology-mix, the costs of generating energy, related emissions and external costs associated with the emissions....
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Shadow Price of Air Pollution Emissions in the Czech energy sector - Estimation from Distance Function
Rečka, Lukáš ; Ščasný, Milan (advisor) ; Klimešová, Andrea (referee)
This thesis employs a parametric input distance function that incorporates both desirable and undesirable outputs to provide a more complete representation of the production technology. Based on the Shephard (1970) theory of duality, we derive the shadow prices of undesirable outputs in the Czech energy sector on the data over the period 2002 - 2007. The medians of our shadow prices estimates are 8374, 1198, 2805, 6051 and 8549 € per ton of PM, SO2, NOx, CO and VOC, respectively. We decompose shadow prices estimates and test the hypotheses that the marginal abatement cost decline over time; that marginal abatement cost rice with the declining emission level; and that marginal abatement cost rice with declining emission rate. Key Words: shadow prices, distance function, undesirable outputs, marginal abatement cost JEL classification: C61, D24, Q53
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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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Evaluation and decomposition efficiency using Malmquist productivity index
Skočdopol, Petr ; Dlouhý, Martin (advisor) ; Chrobok, Viktor (referee)
At first, the basics of microeconomics from the perspective of companies, effectiveness and methods of its measurement and the most important information on the distance function this thesis, are shown. It also contains the development of the Malmquist productivity index. The aim of this work is the description of this index and its components. Indicate how these values are calculated and what expressed. Secondary objectives are to introduce different variants of Malmquist indexes and their use. Four models are used for calculating individual components of the Malmquist productivity index. These are the DEA models, Aigner-Chu, Stochastic production frontiers and Stochastic activity analysis. The first three in this work are described in detail. In conclusion is an illustrative example of calculation Malmquist productivity index using DEA models. For the calculation I used the program Lingo.
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