transformation algorithms
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2021 ◽  
pp. 265-293
Author(s):  
Alexandr Alexandrovich Kuznetsov ◽  
Oleksandr Volodymyrovych Potii ◽  
Nikolay Alexandrovich Poluyanenko ◽  
Yurii Ivanovich Gorbenko ◽  
Natalia Kryvinska

2021 ◽  
pp. 171-178
Author(s):  
Ш.С. Фахми ◽  
С.В. Колесниченко ◽  
Е.В. Костикова ◽  
С.А. Селиверстов ◽  
О.В. Бородина ◽  
...  

Исследуется процесс развития современных систем видеонаблюдения на морском транспорте, а также затронуты некоторые приложения и особенности передачи изображений и способы повышающие ее эффективность. Системы морского наблюдения могут использоваться для повышения безопасности портов, аэропортов, торговых и военных судов, а также для контроля морского движения в портах и каналах, защиты прибрежных и нефтяных платформ. Камеры являются одним из основных датчиков этих систем. Они дешевы и дополняют другие типы датчиков. В данной работе представлен результаты исследований по использованию алгоритм быстрого преобразования Фурье с децимацией во времени при размерности-22´22 при обработке морских сюжетов, полученных из различных камер наблюдения за крымским мостом. Предложенный алгоритм получен путем применения двухэтапного подхода к декомпозиции и внедрению эффективной методики группировки поворотных множителей Фурье-преобразования в комплексной форме. Анализируется арифметическая сложность предлагаемого алгоритма и вычисляется количество действительных умножений и сложений для различных размеров преобразования и изображений морских судов. Кроме того, выполнена оценка скорости передачи и сложности обработки морских изображений для различных форматов и разрешения. The process of development of modern video surveillance systems in maritime transport is investigated, as well as some applications and features of image transmission and methods that increase its efficiency are touched upon. Maritime surveillance systems can be used to improve the security of ports, airports, commercial and military vessels, as well as to control sea traffic in ports and channels, protect coastal and oil platforms. Cameras are one of the main sensors of these systems. They are cheap and complement other types of sensors. This paper presents the results of research on the use of the fast Fourier transform algorithm with decimation in time at a dimension of-22´22 when processing marine scenes obtained from various surveillance cameras for the Crimean bridge. The proposed algorithm is obtained by applying a two-stage approach to decomposition and implementing an effective method for grouping the rotary multipliers of the Fourier transform in a complex form. The arithmetic complexity of the proposed algorithm is analyzed and the number of real multiplications and additions for various sizes of transformation and images of sea vessels is calculated. In addition, the estimation of the transmission speed and complexity of processing marine images for various formats and resolutions was performed.


Author(s):  
Igor Matyushkin ◽  
Pavel Rubis

Work describes four permutation algorithms of square matrices based on cyclic rows and columns shifts. This choice of discrete transformation algorithms is justified by the convenience of the cellular automaton (CA) formulation. Output matrices can be considered as pseudo-random sequences of numbers. As a result of numerical calculation, empirical formulas are obtained for the permutation period and the function of the period of a single CA-cell on the order of the matrix n. As a parameter of CA dynamics, we analyze two "mixing metrics" on permutations of the matrix (compared to the initial matrix).


2020 ◽  
Author(s):  
Maria Paquin

Benchmark programs are an integral part of program analysis research. Researchers use benchmark programs to evaluate existing techniques and test the feasibility of new approaches. The larger and more realistic the set of benchmarks, the more confident a researcher can be about the correctness and reproducibility of their results. However, obtaining an adequate set of benchmark programs has been a long-standing challenge in the program analysis community. In this thesis, we present the APT tool, a framework we designed and implemented to automate the generation of realistic benchmark programs suitable for program analysis evaluations. Our tool targets intra-procedural analyses that operate on an integer domain, specifically symbolic execution. The framework is composed of three main stages. In the first stage, the tool extracts potential benchmark programs from open-source repositories suitable for symbolic execution. In the second stage, the tool transforms the extracted programs into compilable, stand-alone benchmarks by removing external dependencies and nonlinear expressions. In the third stage, the benchmarks are verified and made available for the user. We have designed our transformation algorithms to remove program dependencies and nonlinear expressions while preserving their semantics-equivalence in the abstraction of symbolic analysis. That is, we want the information the analysis computes on the original program and its transformed version to be equivalent. Our work provides static analysis researchers with concise, compilable benchmark programs that are relevant to symbolic execution, allowing them to focus their efforts on advancing analysis techniques. Furthermore, our work benefits the software engineering community by enabling static analysis researchers to perform benchmarking with a large, realistic set of programs, thus strengthening the empirical evidence of the advancements in static program analysis.


In this paper we compare and analyze the complexity of three functions: Fast Fourier transform (FFT), Discrete Cosine Transform (DCT) and Discrete Wavelet Transform (DWT), used in image transformation. The purpose of all the algorithms is to shift the signal from space or time domain to frequency domain for de-noising or compression. We compare the simulated process time of both one and two dimensional FFT, DCT and DWT (Symlet and Debauches 1) using image and speech signal. The process time is found lowest for FFT and highest for DWT, provided its basis function governs the process time and DCT provide the moderate result. Finally the quality of compressed image under the three mathematical functions are compared, where DWT is found as the best and FFT yields worst result.


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