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Point Interpolation in Projective Space
Burešová, Klára ; Procházková, Jana (referee) ; Štarha, Pavel (advisor)
The aim of this work is to describe interpolation curves in the plane and space. Part of it is the definition of the projective space in which we will work and also other concepts such as vector space, derivation, curve, etc. The second part is a description of different types of approximation of curves. The main part is a program for the reconstruction of a kinematic curve, which describes the trajectory of a moving body. Sub-methods were programmed using the Matlab development tool.
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Methods of numerical integration
Čoupek, Filip ; Tomášek, Petr (referee) ; Zatočilová, Jitka (advisor)
This bachelor thesis focuses on numerical calculation of a simple specific integral. First, the basic concepts are established and briefly described interpolation and orthogonal polynomials, from which the individual formulas are based. Emphasis is placed on the introduction, derivation and description of Newton-Cotes quadrature formulas, Gauss quadrature formulas and Clenshaw-Curtis quadrature formulas. In the penultimate chapter we describe the principle of adaptive integration and Romberg's method. At the end of the thesis is a comparison of individual methods on specific examples using the software Matlab.
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Point Interpolation in Projective Space
Burešová, Klára ; Procházková, Jana (referee) ; Štarha, Pavel (advisor)
The aim of this work is to describe interpolation curves in the plane and space. Part of it is the definition of the projective space in which we will work and also other concepts such as vector space, derivation, curve, etc. The second part is a description of different types of approximation of curves. The main part is a program for the reconstruction of a kinematic curve, which describes the trajectory of a moving body. Sub-methods were programmed using the Matlab development tool.
|
|
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Methods of numerical integration
Čoupek, Filip ; Tomášek, Petr (referee) ; Zatočilová, Jitka (advisor)
This bachelor thesis focuses on numerical calculation of a simple specific integral. First, the basic concepts are established and briefly described interpolation and orthogonal polynomials, from which the individual formulas are based. Emphasis is placed on the introduction, derivation and description of Newton-Cotes quadrature formulas, Gauss quadrature formulas and Clenshaw-Curtis quadrature formulas. In the penultimate chapter we describe the principle of adaptive integration and Romberg's method. At the end of the thesis is a comparison of individual methods on specific examples using the software Matlab.
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