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Image compression simultaneously in spatial and frequency domains
Vaněk, Martin ; Šorel, Michal (referee) ; Rajmic, Pavel (advisor)
This thesis is concerned with image compression. Firstly, JPEG lossy compression and origin of typical artifacts is explained. Then, some basic concepts are introduced and sparse representation of signals are presented. Then presentation of proximal algorithms is folowed and formulation of two optimazation problems, wchich removes typical artifacts on edges, created by JPEG compression. These problems are then solved by proximal algorithms.
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Live-cell tracking in time-lapse sequences
Zámečník, Tomáš ; Šorel, Michal (advisor) ; Křivánek, Jaroslav (referee)
Title: Live-cell tracking in time-lapse sequences Author: Tomáš Zámečník Department: Department of Software and Computer Science Education Supervisor: RNDr. Michal Šorel Ph.D., Oddělení zpracování obrazu ÚTIA AV ČR Abstract: This diploma thesis deals with methods of tracking particles in image sequences. It's goal is to design and implement a complete system for tracking of live cells, their motion and division. The thesis uses conclusions of published scientific papers, studies their application and analyzes possibilities for their mo- difications or improvement. As a result, there are two applications. First of them is a demonstrational pro- gram, provided as an attachment of this thesis. Second implementation is a mo- dule of commercial software NIS-Elements, by Laboratory Imaging, Ltd., which is used by both scientific and commercial institutions in the whole world. Keywords: cell tracking, particle tracking, cell division 1
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Odstraňování odlesků z digitálních fotografií
Psotný, Dušan ; Cerman, Lukáš (referee) ; Šorel, Michal (advisor)
In this work we focus on one of the most common disturbance and that is lens flare or unwanted light scattering from light source. The main objective is to design and implement algorithms that lead to the removal of the mistakes of the image and using one or more images with diffrent exposure. Algorithms are implemented using Matlab, software program using matrices, and Image Processing Toolbox, which contains various functions for work with images. For our work, we have implemented and compared several algorithms for segmentation and removal of lens flare, we implemented an algorithm based on copying similar parts or processing of individual color channels. Our results show that we are at least partially able to delete flare.
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Multichannel blind deconvolution of color images
Brantál, František ; Šorel, Michal (referee) ; Šroubek, Filip (advisor)
The aim of the thesis is to get acquainted with methods for degradation removal (deconvolution) in scalar images in the case when no apriori information about the shape of convolution masks is known (blind deconvolution) but more than one image acquisition with different degradation is available (multichannel deconvolution). Propose possible approaches for extending blind deconvolution into multivalued (color) images using regularization forms. Implement proposed techniques and verify performance not only on synthetic data but also on real data.
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Mathematics in image processing
Šorel, Michal
In this tutorial we explained a unified view of many image processing and computer vision problems based on Bayesian frawork. To find solution this approach uses either methods of continuous optimization or discrete optimization methods on Markov random fields.
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Odhad hloubkové mapy a současná slepá dekonvoluce obrazů rozmazaných defokuzací
Šorel, Michal ; Flusser, Jan
We present an algorithm that uses two or more defocused images of the same scene for recovery of scene structure and simultaneous restoration of sharp image. Defocousation is modeled by convolution with arbitrary known spatially-variant mask unlike the vast majority of published algorithms that used cylindrical or Gaussian masks. In this way it is able to deal with aberrations present in real optical systems. The mask can be given analytically ro by a table or a ray tracing algorithm.
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