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Semantic Similarity of Texts
Bradáč, Václav ; Otrusina, Lubomír (referee) ; Smrž, Pavel (advisor)
This paper deals with the determination of semantic similarity texts, focusing on scalability. Part of treatment is a theoretical overview of the tools to implement the system on test data. Tested corpus contains expert articles in the English language. The aim is to analyze these articles, modified to facilitate the analysis of their semantic analogues. One of the most utilized tools is a representation of data in a vector space model.
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Multipoint identification of position and orientation of object
Řičánek, Dominik ; Ligocki, Adam (referee) ; Burian, František (advisor)
The goal of this paper is to find a good method to determine the pose of two, mutually rotated, objects and to try and implement it first in C++ without the usage of any external libraries and then in Kuka Robot Language (KRL). First we are going to look at two different approaches to solving this problem: The Iterative Closest Point algorithm (ICP) and the Kabsch Algorithm. From them one is going to be chosen and a program will be build around it. Following its implementation, the algorithm’s precision is going to be tested. Finally KRL will be briefly introduced and the various problems involving transition of the algorithm from C++ to KRL will be talked about.
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Separation of dynamic and static structures in a series of images
Gebrtová, Karolína ; Kosová, Petra (referee) ; Rajmic, Pavel (advisor)
This bachelor thesis is focused on the separation of static and dynamic structures of video. While the major part of the video background remains static, a few moving particles can be observed. Such video can be represented by a low-rank and a sparse component. Using a low-rank structure, the background can be separated by applying either the median filter or the dynamic mode decomposition. Furthermore, the thesis includes the robust principal component analysis which can be perceived as an optimization problem. In addition, the thesis is enhanced by result visualization methods.
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Deconvolution in perfusion imaging
Líbal, Marek ; Havlíček, Martin (referee) ; Bartoš, Michal (advisor)
The purpose of this study is to introduce the methods of the deconvolution and to programme some of them. For the simulation, the tissue homogeneity model and the model of arterial input fiction were used. These models were engaged as the test procedures with the aim of verify the functionality and utility of the Wiener filter, the Lucy-Richardson algorithm and the Singular value decomposition.
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Decomposition of video-sequences into components with different dynamics
Gebrtová, Karolína ; Druckmüller, Miloslav (referee) ; Rajmic, Pavel (advisor)
The thesis is focused on the decomposition of video sequences, primarily on background and dynamic component separation, where the background remains the same and only small parts are in motion. Such a video is represented by a low-rank and sparse component. Thanks to the low-rank structure, the background can be separated using a median filter and dynamic mode decomposition. Furthermore, the robust principal component analysis, formulated as an optimization problem and its non-convex variant, will be employed. Also mentioned will be the multiresolution DMD, which is capable of decomposing the dynamic component based on its velocity.
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Numerical methods in image processing for applications in jewellery industry
Petrla, Martin ; Hnětynková, Iveta (advisor) ; Plešinger, Martin (referee)
Presented thesis deals with a problem from the field of image processing for application in multiple scanning of jewelery stones. The aim is to develop a method for preprocessing and subsequent mathematical registration of images in order to increase the effectivity and reliability of the output quality control. For these purposes the thesis summerizes mathematical definition of digital image as well as theoretical base of image registration. It proposes a method adjusting every single image to increase effectivity of its subsequent processing. One image for every evaluated gemstone is generated using image registration. The method is implementated in the MATLAB environment. Powered by TCPDF (www.tcpdf.org)
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Separation of dynamic and static structures in a series of images
Gebrtová, Karolína ; Kosová, Petra (referee) ; Rajmic, Pavel (advisor)
This bachelor thesis is focused on the separation of static and dynamic structures of video. While the major part of the video background remains static, a few moving particles can be observed. Such video can be represented by a low-rank and a sparse component. Using a low-rank structure, the background can be separated by applying either the median filter or the dynamic mode decomposition. Furthermore, the thesis includes the robust principal component analysis which can be perceived as an optimization problem. In addition, the thesis is enhanced by result visualization methods.
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Multipoint identification of position and orientation of object
Řičánek, Dominik ; Ligocki, Adam (referee) ; Burian, František (advisor)
The goal of this paper is to find a good method to determine the pose of two, mutually rotated, objects and to try and implement it first in C++ without the usage of any external libraries and then in Kuka Robot Language (KRL). First we are going to look at two different approaches to solving this problem: The Iterative Closest Point algorithm (ICP) and the Kabsch Algorithm. From them one is going to be chosen and a program will be build around it. Following its implementation, the algorithm’s precision is going to be tested. Finally KRL will be briefly introduced and the various problems involving transition of the algorithm from C++ to KRL will be talked about.
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Comparison of least squares methods for problems with errors in the model
Dvořák, Jan ; Hnětynková, Iveta (advisor) ; Kopal, Jiří (referee)
In this work we study the least squares and the total least squares problem for the solution of linear aproximation problems. We introduce both formulations and we discuss the existence and uniqueness of their solutions. We show selected computational methods based on the singular value decomposition. Further we focus on algebraic relations between both solutions and associated residuals. We present several estimates for the norm of the difference between the least squares and total least squares solution. We discuss their dependance on singular values of A and ( A b ) . Finally we illustrate the methods on selected test problems in the Matlab enviroment. 1
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