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computer visualization and dynamic study of new families of root-solvers

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2022年第0期401卷 113775-113775页

作者： Herceg, D. Petkovic, I Univ Novi Sad Fac Sci Trg Dositeja Obradovic 4 Novi Sad 21000 Serbia Univ Nis Fac Elect Engn A Medvedeva 14 Nish 18000 Serbia

The considered topic, the dynamic study of new root solvers using computer tools, is actually a "bridge" between computer science and applied mathematics. The goal of this paper is the construction and dynamic study of two new one-parameter families for solving nonlinear equations using advanced computer tools such as symbolic computation, computer graphics and multi-precision arithmetic. First family, based on Popovski's third order method (Popovski, 1980), is modified and adapted for finding multiple zeros of differentiable functions. Its dynamic study is performed using basins of attraction and associated quantitative data. In the second part this one-point family for a single zero serves for the derivation of a very efficient family of iterative methods with corrections for the simultaneous determination of all multiple zeros of algebraic polynomials. The convergence analysis, performed by the help of symbolic computation in computer algebra system Mathematica, has shown that the order of convergence of the proposed family is four, five and six, depending of the type of used corrective approximations. A very fast convergence rate is obtained without any additional evaluations of a given polynomial P and its derivatives P' and P'', which points to the high computational efficiency of new methods. Choosing different values of the involved parameter, the presented family generates a variety of simultaneous methods. Employing multi-precision arithmetic, it has been shown by numerical experiments that four particular methods from the family produce approximations of very high accuracy. computer visualization, carried out by plotting trajectories of zero approximations, points to the stability and robustness of the proposed simultaneous methods and indicates a conjecture on their globally convergent properties, one of the most important features of simultaneous methods for solving polynomial equations. (C) 2021 Elsevier B.V. All rights reserved.

关键词： Nonlinear equations Root-finding-methods computer visualization Polynomial zeros Simultaneous methods

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computer visualization of Geometry of Polynomial Roots 55

Computer Visualization of Geometry of Polynomial Roots

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55th International Scientific Conference on Information, Communication and Energy Systems and Technologies (IEEE ICEST)

作者： Petkovic, Ivan Rajkovic, Petar Univ Nis Fac Elect Engn Aleksandra Medvedeva 14 Nish 18000 Serbia

ISBN: (纸本)9781728171432

Using computer visualization, several results in the field of geometry of polynomial roots are presented. This computational tool yields a new dimension and a deep insight into properties of the geometry of polynomial roots and iterative processes for finding polynomial roots, discovering at the same time new properties, quite beyond human abilities. More generally, the presented communication demonstrates that sophisticated computer graphics, transforming numerical data into images, brings modern and novel perspectives of some mathematical topics.

关键词： computer visualization computer graphics Geometry of polynomial zeros Analysis of root-solvers

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computer visualization of quality estimation the color reproduction in digital printing systems measuring colour gamut of the color-reproducing system: interpretation aspects

Computer visualization of quality estimation the color repro...

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Mechanical Science and Technology Update (MSTU)

作者： Sysuev, I. A. Varepo, L. G. Litunov, S. N. Antropova, L. B. Miroshnichenko, A. A. Omsk State Tech Univ 11 Mira Ave Omsk 644050 Russia

Forecasting of the quality estimation the color reproduction for selection of the optimum printing system from the available range and the achievement of the required quality of multicolor products justifies the urgent problem. To solve the problem, a procedure of quality estimation of color reproduction using tools of the CIE L * a * b * - 1976 colorimetric model was used, i. e. the volume of color gamut body and the set of its cross sections. Practical implementation of the approach for complex estimation of the color reproduction quality in digital printing systems and its computer visualization is shown on the example of the "laser (LED) printer-paper" printing system. It is noted that the estimation of color reproduction using the volume index of the gamut body and the set of its sections, as an element of computer graphics for visualizing the result, interprets the accuracy of reproduction of the multicolor image as for the original.

关键词： color reproduction computer visualization geometry of color gamut body section volume of color gamut body printing system

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Fractal computer visualization in psychological research

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AI & SOCIETY 2017年第1期32卷 121-133页

作者： Meshcheryakova, Emma I. Larionova, Anastasia V. Tomsk State Univ 36 Lenina Ave Tomsk 634050 Russia Tomsk State Univ Control Syst & Radioelect 40 Lenina Ave Tomsk 634050 Russia

This paper is devoted to the issue of fractal computer visualization in the field of psychological research;it describes some features of visual information interaction between a person and the world. The present paper, part of the research project Personal Fractal, focuses on computer fractal images as a stimulus material for psychodiagnostic purposes. The study is based on a new understanding of scientificity and systematicity criteria in psychological science. We follow the principle of psychology approaching a person's daily life and the creative modern information experience. Participants' creativity was analyzed by means of fractal computer images. These images were found to possess a pronounced psychodiagnostic, psychocorrectional, and psychotherapeutic potential to be applied as an important methodological resource for psychological aid. The authors assume that the interplay between individualization and socialization can be interpreted in terms of the concept of fractality as a similarity of sociopsychological phenomena. The pilot study results are preceded by an extensive theoretical review reflecting historical and cultural aspects of the problem of fractal computer visualization.

关键词： Fractal computer visualization Psychology Psychodiagnostics Creativity

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Towards the computer visualization of electrodynamics education for undergraduates major in optics 14

Towards the computer visualization of electrodynamics educat...

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14th Conference on Education and Training in Optics and Photonics (ETOP)

作者： Liu Jing Gao Minhao Fan Yansong Natl Univ Def Technol Coll Optoelect Sci & Engn Changsha 410073 Hunan Peoples R China

ISBN: (数字)9781510613829

ISBN: (纸本)9781510613829;9781510613812

We present a general review on using computer visualization technology to assist teaching electrodynamics for undergraduates in several Chinese universities. Based on our own teaching activities during the past decade in National University of Defense and Technology, China, we propose and discuss the necessity of computer visualization in electrodynamics course teaching for undergraduates major in optics for the first time. Then we will show how to help students to comprehend fundamental concepts and to understand the effect of parameters on core physical quantities through some teaching designs. At last, specified content inside the course that are suitable to be assisted by computer visualization are demonstrated.

关键词： Electrodynamics education computer visualization Undergraduates major in optics

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INTERACTIVE MEDIATISED URBANISM Shaping High Emotional Value Food Consumption Spaces with Human Data on Social Media 29th

INTERACTIVE MEDIATISED URBANISM Shaping High Emotional Value...

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29th International Conference of the Association-for-computer-Aided-Architectural-Design-Research-in-Asia (CAADRIA)

作者： Gao, Naixiang UCL London England

ISBN: (纸本)9789887891826

Research in the field of shaping urban spaces with emotional values on social media is still lacking. This paper attempts to shape an urban food consumption space with high emotional value through digital interactive media consisting of machine learning and other algorithmic processing of the emotional values contained in images of urban food consumption venues posted by humans on social media for the food consumption process. Images on social media that contain geographic information on the food market with research conditions are used as the data source, which is filtered by algorithms for the emotional value data. The filtered images are put into a machine learning model for training, resulting in a series of spatial images containing high emotional values, which are used as learning objects for the pictures entered by the user community at the input side of the system. The depth information in the output objects is read to transform them into spatial models, and the information from these virtual spatial models that have been learned for higher emotional values is the output of user interactions and the basis for improving the food consumption space.

关键词： Social Media Database Human-Urban Interactive Media computer visualization Image-to-Model Food Consumption space Emotional Values Machine Learning AR Interface

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The Black Hole Explorer: Using the Photon Ring to Visualize Spacetime Around the Black Hole

The Black Hole Explorer: Using the Photon Ring to Visualize ...

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Conference on Space Telescopes and Instrumentation - Optical, Infrared, and Millimeter Wave

作者： Galison, Peter Johnson, Michael D. Lupsasc, Alexandru Gravely, Trevor Berens, Roman Harvard Univ Black Hole Initiat 20 Garden St Cambridge MA 02138 USA Ctr Astrophys Harvard & Smithsonian 60 Garden St Cambridge MA USA Vanderbilt Univ Dept Phys & Astron Nashville TN 37235 USA

ISBN: (纸本)9781510675087;9781510675070

The Black Hole Explorer (BHEX), an orbiting, multi-band, millimeter radio-telescope, in hybrid combination with millimeter terrestrial radio-telescopes, is designed to discover and measure the thin photon ring around the supermassive black holes M87* and Sgr A*. As background to the BHEX instruments, this paper explores various aspects of the photon ring, focusing on the intricate flow of light around a spinning black hole, and tracking, through visual simulations, photons as they course along geodesics. Ultimately, the aim of these visualizations is to advance the foundational aims of the BHEX instrument, and through this experiment to articulate spacetime geometry via the photon ring.

关键词： Photon Ring Space-Ground Baseline Lyapunov exponent Null Geodesics computer visualization

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Vector-Field visualization of the Total Reflection of the EM Wave by an SRR Structure at the Magnetic Resonance

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ENERGIES 2022年第1期15卷 111页

作者： Budnarowska, Magdalena Rafalski, Szymon Mizeraczyk, Jerzy Gdynia Maritime Univ Dept Marine Elect Morska 83 PL-81225 Gdynia Poland

Metamaterials are artificially structured composite media with a unique electromagnetic (EM) response that is absent from naturally occurring materials, which appears counterintuitive and aggravates traditional difficulties in perceiving the behavior of EM waves. The aim of this study was to better understand the interaction of EM waves with metamaterials by virtual visualizing the accompanying physical phenomena. Over the years, virtual visualization of EM wave interactions with metamaterials has proven to be a powerful tool for explaining many phenomena that occur in metamaterials. In this study, we performed virtual visualization of the interaction of an EM plane wave with a split-ring resonator (SRR) metamaterial structure, employing CST Studio software for modeling and comprehensive simulations of high-frequency EM fields of 3D objects. The SRR structure was designed to have its magnetic resonance at the frequency f = 23.69 GHz, which is of interest for antennas supporting wireless microwave point-to-point communication systems (e.g., in satellite systems). Our numerical calculations of the coefficients of absorption, reflection, and transmission of the EM plane wave incident on the SRR structure showed that the SRR structure totally reflected the plane EM wave at the magnetic resonance frequency. Therefore, we focused our research on checking whether the results of numerical calculations could be confirmed by visualizing the total reflection phenomenon on the SRR structure. The performed vector-field visualization resulted in 2D vector maps of the electric and magnetic fields around the SRR structure during the wave period, which demonstrated the existence of characteristic features of the total reflection phenomenon when the EM plane interacted with the studied SRR, i.e., no EM field behind the SRR structure and the standing electric and magnetic waves before the SRR structure, thus, confirming the numerical calculations visually. For deeper understanding the

关键词： SRR structure frequency selective surfaces subreflector split-ring resonator metamaterials electromagnetic field metamaterial unit cell computer visualization electromagnetic coupling CST Studio

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Small lighting luminaires for illumination applications

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ARCHIVES OF ELECTRICAL ENGINEERING 2022年第4期71卷 1035-1050页

作者： Rozowicz, Antoni Wachta, Henryk Rozowicz, Sebastian Kielce Univ Technol Dept Ind Elect Engn & Automat Control Tysiaclecia Palistwa Polskiego 7 PL-25314 Kielce Poland Rzeszow Univ Lechnol Dept Power Elect & Power Engn Wincentego Pola 2 PL-35959 Rzeszow Poland

The application of solid-state light sources in luminaires creates a new quality in illumination design works. In a confrontation with a commonly used but relatively unattractive flood method, the use of small-size luminaires allows one to present an illuminated architectural object in a more attractive way in the evening and at night. In this case, it is possible to apply the principles of illumination described in the literature, especially the principle of height amplification and the principle of depth amplification. The conceptual work of illumination with the use of a large number of small-size luminaires does not require the use of supporting graphical tools, but the specification of actual lighting equipment using only polygonal samples in this case is not possible. The paper presents selected issues of the key stages of the completed work. Using specialized computer software, a geometric model of the architectural object has been developed, facade materials have been parameterized, models of small-size illuminating equipment have been selected and, finally, calculations of luminance distribution on illuminated surfaces have been carried out. As a result of computer work, luminance distributions and photorealistic visualizations of illuminations from defined main directions of observation were obtained. The Lubomirski Palace in Przemysl is an example of the architectural object indicated for detailed works.

关键词： computer visualization illumination LEDlight sources luminance distribution

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Impact of Street Lighting Level on Floodlights

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ENERGIES 2023年第15期16卷 5726页

作者： Wachta, Henryk Baran, Krzysztof Rozowicz, Sebastian Rzeszow Univ Technol Dept Power Elect & Power Engn Al Powstancow Warszawy 12 PL-35959 Rzeszow Poland Kielce Univ Technol Dept Ind Elect Engn & Automatic Control 7 Tysiaclec Panstwa Polskiego St PL-25314 Kielce Poland

The article presents selected results of research related to the use of outdoor lighting, mainly street lighting, in the design of facility illumination. The indicated subject matter primarily concerns architectural structures that are located in urbanized city spaces and in the strict centers of old cities. It is in these areas that there is usually a significant saturation of historic secular and sacred buildings with significant tourist values. At the same time, the immediate surroundings of the structures are usually wrapped by a dense network of street lighting infrastructure. This illumination can be a major setback in the process of illumination planning. Therefore, it is necessary to take into account the extent of this impact on the planned illumination work, related to the selection, mounting, and direction of illumination equipment. This is related to the distance of the street luminaires from the facade, the height of their installation, the distance of the poles from each other, the power of the street luminaires, and the luminous flux distribution of the luminaires used. The purpose of the work undertaken was to analyze the extent to which outdoor lighting influences the planned illumination of an architectural structure and to explore the possibility of its potential use as a component of illumination. Analytical work was conducted at two levels of detail using advanced graphical computer applications. After general considerations and the derivation of conclusions, an example of illumination of a large sacral building was realized successfully using the element of street lighting as a component of illumination.

关键词： illuminations computer visualization LED sources electric floodlighting luminaires luminance distribution

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