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Synak R.,Institute of Mathematical Machines
Optical Engineering | Year: 2012

An analysis of a novel unit destined for measuring roughness of smooth and isotropic surfaces as well optimization of its parameters has been presented. The unit is functioning on the measurement of the total integrated scatter parameter using a flat photodiode integrator rather than a conventional optical sphere or hemisphere. By that means, one can obtain much less expensive and smaller instruments than the traditional ones. Unfortunately, a decrease of the integrator dimensions could reduce its spatial frequency bandwidth causing measurement errors. Therefore, an analysis of this factor utilizing the results of the Rayleigh-Rice vector perturbation theory has been performed. For the case when smooth surfaces are investigated, the lower limit of the angle range is particularly critical and should be diminished as much as possible. This is in contradiction with the demand of a broader upper limit to have a greater roughness measuring range. Therefore, a way of optimization of unit parameters has also been described. Results of experiments concerning the validity of assumptions confirmed in the analysis as well as results of roughness measurements obtained using a tentative measuring unit are also given. © 2012 Society of Photo-Optical Instrumentation Engineers (SPIE). Source


Salamonczyk A.,Siedlce University Of Natural Sciences And Humanities | Brzostek-Pawlowska J.,Institute of Mathematical Machines
Proceedings - 2015 IEEE 2nd International Conference on Cybernetics, CYBCONF 2015 | Year: 2015

Blind people require special means of reading and writing of mathematical content. They require of alternative user interfaces in accessing math formulas. In this paper a tool helps surpass the difficulty in reading online documents containing mathematical expressions is presented. The translator from a MathML form to text in Polish take into account a mathematical context of symbols and neighboring nodes names in MathML structure. © 2015 IEEE. Source


Adamski T.,Warsaw University of Technology | Nowakowski W.,Institute of Mathematical Machines
Bulletin of the Polish Academy of Sciences: Technical Sciences | Year: 2014

The paper deals with Nyberg-Rueppel digital signatures without message recovery. Probability of signature forgery is analyzed and assessed. Some simple methods to minimize probability of signature forgery are proposed. Source


Synak R.,Institute of Mathematical Machines
Proceedings of SPIE - The International Society for Optical Engineering | Year: 2012

A novel method for measuring roughness and reflectance of very smooth surfaces has been presented in the paper. It is based on the measurement of the Total Integrated Scatter (TIS) parameter using a flat photodiode integrator rather than a conventional optical sphere or hemisphere. By that means, one can obtain much less expensive and smaller instruments than the traditional ones that could find their application for surface control purposes in the production area of a wider range of companies. Unfortunately, a decrease of the integrator dimensions could reduce its spatial frequency bandwidth causing measurement errors. Additional errors can occur because of the integrator flatness. Therefore, an analysis of the influence of those factors has been performed. Using the results of the Rayleigh-Rice vector perturbation theory, dependences showing the influence of the range-of-acceptance angle on the TIS value measured have been shown. For the case when very smooth surfaces (e.g. silicon wafers, optical mirrors, precision metal elements) are investigated, the lower limit of the angle range is particularly critical and should be carefully selected. On the other hand, the upper limit can be even smaller than 20-30° which makes it possible to find a compromise while designing the measuring unit. Assuming such a limit, the influence of the integrator flatness is proved to be irrelevant. In the paper, results of measurements of some parameters valuable for the analysis are presented as well as preliminary results of sample measurements in a tentative system. The results obtained confirm the validity of further investigations in this research area. A precise unit for investigating functional properties of the method is under development, and it is planned that the measurement results derived from this unit are to be compared with results of different measurements conducted by means the Ulbricht sphere instruments and by other methods. © 2012 Copyright Society of Photo-Optical Instrumentation Engineers (SPIE). Source


Ostrowski I.,Institute of Mathematical Machines
XXI IMEKO World Congress "Measurement in Research and Industry" | Year: 2015

The AGV (AGV-automated guided vehicle) platforms make simply transport tasks which can be easy automated and give big benefits on human work in production environment. One of problems in AGV evolution is the easy and efficient communication with base station. Such a link is most often built by WLAN using 802.11 standard [1]. This is very important for AGV to keep communication with base station (supervising computer) on some minimal quality level because of needing continuous stream of control data. It is the crucial when the cloud computing is established and permanent synchronization is realized [2] In our opinion this crucial problem is not deeply analyzed as required. This issue joins the interesting subjects of wide technical areas from robotics to communication. This paper tries to shed new light for it. Source

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