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Mathematical description of vehicle motion trajectory
Lorenczyk, Jiří ; Popela, Pavel (referee) ; Porteš, Petr (advisor)
The goal of this thesis is to nd types of curves which would allow for the construction of a path that could be traversed by a vehicle. It seems that a minimal constraint for such a path is the continuity of curve's curvature. This leads to a closer look at the three types of curves: Clothoids, which are able to smoothly connect straights with arcs of a constant curvature, interpolation quintic splines, which are C2 smooth in the interpolation nodes and -splines, these belong to the family of quintic polynomial curves too, however, they are characterised by the vector of parameters which modies the shape of the curve. The thesis is accompanied by an application allowing for manual construction of the path composed of spline curves.
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Software module generating "atoms" for purposes of overcomplete signal representation
Špiřík, Jan ; Průša, Zdeněk (referee) ; Rajmic, Pavel (advisor)
The aim of this master thesis is generating new "atoms'' for purposes of overcomplete signal representation for toolbox Frames in MATLAB. At first is described the principle of overcomplete systems and so-called frames. In the thesis is introduced the basic distribution of frames and conditions of their constructions. There is described the basic principle of finding the sparse solutions in overcomplete systems too. The main part is dealt with construction single functions for generating "atoms'', such as: Gabor function, B-splines, Bézier curves, Daubechies wavelets, etc. At last there is introduced an example of usage these functions for reconstruction signal in comparison with Fourier and wavelet transforms.
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Compressive sampling for effective target tracking in a sensor network
Klimeš, Ondřej ; Veselý, Vítězslav (referee) ; Rajmic, Pavel (advisor)
The master's thesis deals with target tracking. For this a decentralized sensor network using distributed particle filter with likelihood consensus is used. This consensus is based on a sparse representation of local likelihood function in a suitable chosen dictionary. In this thesis two dictionaries are compared: the widely used Fourier dictionary and our proposed B-splines. At the same time, thanks to the sparsity of distributed data, it is possible to implement compressed sensing method. The results are compared in terms of tracking error and communication costs. The thesis also contains scripts and functions in MATLAB.
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Mathematical description of vehicle motion trajectory
Lorenczyk, Jiří ; Popela, Pavel (referee) ; Porteš, Petr (advisor)
The goal of this thesis is to nd types of curves which would allow for the construction of a path that could be traversed by a vehicle. It seems that a minimal constraint for such a path is the continuity of curve's curvature. This leads to a closer look at the three types of curves: Clothoids, which are able to smoothly connect straights with arcs of a constant curvature, interpolation quintic splines, which are C2 smooth in the interpolation nodes and -splines, these belong to the family of quintic polynomial curves too, however, they are characterised by the vector of parameters which modies the shape of the curve. The thesis is accompanied by an application allowing for manual construction of the path composed of spline curves.
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Organ segmentation
Kolomazník, Jan
Ì ØÐ ÇÖ Ò Ë Ñ ÒØ Ø ÓÒ ÙØ ÓÖ Â Ò ÃÓÐÓÑ ÞÒ Ô ÖØÑ ÒØ Ô ÖØÑ ÒØ Ó ËÓ ØÛ Ö Ò ÓÑÔÙØ Ö Ë Ò Ù Ø ÓÒ ËÙÔ ÖÚ ×ÓÖ ÊÆ Öž ÂÓ× È Ð Ò ËÙÔ ÖÚ ×ÓÖ³× ¹Ñ Ð Ö ×× ÂÓ× žÈ Ð ÒÑ ž ÙÒ ž Þ ÇÙÖ Ó Ð Û × ØÓ Ù× Ö ×ÙÐØ× ÔÖ × ÒØ Ò Å Öž Î Ð Ú ÃÖ ³× ÔÐÓÑ Ø × ×¸ Û Ó ÜÔ Ö Ñ Ø Û Ø ÓÖ Ò × Ñ ÒØ Ø ÓÒ Ð ÓÖ Ø Ñ׸ Û Ò ÔÔÐ ØÓ ÚÓÐÙÑ Ñ ¹ ×ÙÖ Ñ ÒØ Ò Ì Ø ×Ô ÐÐÝ Ò Ý× Ò Ð Òž Ï ÔÔÐ Ø × Ö ×ÙÐØ× ÙÖ Ò Ú ÐÓÔ Ñ ÒØ Ó ÔÖ Ø ÐÐÝ ÔÐÓÝ Ð ÔÔÐ Ø ÓÒ¸ Ù Ð ÓÒ Ø Å Ú Ö Ñ ÛÓÖ ¸ Û ÔÖÓÚ × ÒØÙ Ø Ú ÒØ Ö ÓÖ ÒØ Ö Ø ÓÒ Û Ø × Ñ ÒØ Ø ÓÒ Ð ÓÖ Ø Ñמ Ï ÜØ Ò ÓÖ Ò Ð ¿ × Ñ ÒØ Ø ÓÒ Ð ÓÖ Ø Ñ¸ × ÓÒ ¾ ¹×ÔÐ Ò × Ñ ÒØ Ø ÓÒ Ñ Ø Ó ¸ Ý ×Ø Ø ×Ø Ð ÓÖ Ò ÑÓ Ð¸ Û × ÓÙÐ Ò Ö × ÖÓ Ù×ØÒ ×× Ó Ø Ñ ÒØ ÓÒ Ñ Ø Ó Ò Ö × ÒÙÑ Ö Ó Ø× Ô Ö Ñ Ø Öמ ÅÓ Ð Û × × Ò Ò ÓÖ Ö ØÓ Ö Ù× Ð Ò ÓØ Ö × Ñ ÒØ Ø ÓÒ Ð ÓÖ Ø Ñž à ÝÛÓÖ × ÚÓÐÙÑ Ø ¸ × Ñ ÒØ Ø ÓÒ¸ Ø Ú ÓÒØÓÙÖ׸ Ô Ö Ñ ØÖ ×Ò ×¸ ÚÓÐÙÑ Ñ ¹ ×ÙÖ Ñ Òظ ÓÔØ Ñ Þ Ø ÓÒ¸ Ñ Ð Ñ Ò ¸ ¹×ÔÐ Ò × ¾
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Compressive sampling for effective target tracking in a sensor network
Klimeš, Ondřej ; Veselý, Vítězslav (referee) ; Rajmic, Pavel (advisor)
The master's thesis deals with target tracking. For this a decentralized sensor network using distributed particle filter with likelihood consensus is used. This consensus is based on a sparse representation of local likelihood function in a suitable chosen dictionary. In this thesis two dictionaries are compared: the widely used Fourier dictionary and our proposed B-splines. At the same time, thanks to the sparsity of distributed data, it is possible to implement compressed sensing method. The results are compared in terms of tracking error and communication costs. The thesis also contains scripts and functions in MATLAB.
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Software module generating "atoms" for purposes of overcomplete signal representation
Špiřík, Jan ; Průša, Zdeněk (referee) ; Rajmic, Pavel (advisor)
The aim of this master thesis is generating new "atoms'' for purposes of overcomplete signal representation for toolbox Frames in MATLAB. At first is described the principle of overcomplete systems and so-called frames. In the thesis is introduced the basic distribution of frames and conditions of their constructions. There is described the basic principle of finding the sparse solutions in overcomplete systems too. The main part is dealt with construction single functions for generating "atoms'', such as: Gabor function, B-splines, Bézier curves, Daubechies wavelets, etc. At last there is introduced an example of usage these functions for reconstruction signal in comparison with Fourier and wavelet transforms.
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