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National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
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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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.
Detailed record
Curves with pythagorean hodograph
 Kadlec, Kryštof ; Šír, Zbyněk (advisor) ; Šmíd, Dalibor (referee)
In the thesis we will look at curves with pythagorean hodograph (PH curves) whose speed is polynomial with respect to parameter. We will consider planar PH curves of degree 3 (PH cubics) exclusively. We will present their complex representation and preimage. Preimage is a simpler curve from which a PH curve is created and which determines its properties. First we will look at the basic properties of PH curves with respect to their preimage. The main aim of the thesis is determining continuousness of joints of PH curves on the basis of the shape of their preimage. We will give specific conditions on preimage for achieving certain types of continousness. Finally we will give some examples in order to illustrate the results. 1
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