Rushan Ziatdinov
Keimyung University, Department of Industrial Engineering, Faculty Member
- Rushan Ziatdinov is a Professor in the Department of Industrial Engineering at Keimyung University, Daegu, South Kor... moreRushan Ziatdinov is a Professor in the Department of Industrial Engineering at Keimyung University, Daegu, South Korea. He obtained his MS degree in the area of Mathematical Methods in Economics and Control in Mechanical Engineering Enterprises from Kama State Polytechnic Institute (now a part of Kazan Federal University, a top ranked and prestigious university in Russia) and has a PhD degree in Mathematical Modelling, Numeric Methods, Program Software from Ulyanovsk State University (former Lomonosov Moscow State University in Ulyanovsk) in Russia. In the beginning of his scientific career he held the positions of Assistant Professor in the Department of Geometry and Mathematical Modelling at Tatar State University of Humanities and Education and in the Department of Special Mathematics at Tupolev Kazan National Research Technical University (Kazan University of Aviation), Kazan, Russia. He then moved to Seoul National University, South Korea, where he was a postdoc in the Computer-Aided Design and Information Technology Lab (CADIT Lab) of the Department of Naval Architecture and Ocean Engineering. From 2011-2015 he was a faculty member in Istanbul, Turkey. In July 2013, he was selected by SAMSUNG SDI and was invited to work in South Korea, but Prof. Ziatdinov decided to continue his job as a professor. He was a Visiting Professor at Seoul National University (2012, 2014, 2016) and Shizuoka University (2013, 2014, 2020), one of the leading national universities in Japan.
His research interests are very wide and include computer-aided geometric design, CAD/CAM, aesthetic shape modelling, the use of computer models in science and engineering, instructional technologies, computer and realistic modelling. Professor Ziatdinov is an editor of several engineering and educational journals, as well as the author of a series of manuscripts published in top journals.
Professor Ziatdinov's hobbies are writing and reading poems, quotations and sayings, photography and creating videos. Also, he enjoys playing chess and proposed one of variants of chess.
E-mail: ziatdinov@kmu.ac.kr
Website: http://www.ziatdinov-lab.com/edit - Yury Ignatyevedit
Two design solutions are proposed for the development of an adaptive compliant aircraft wing frame using reconfigurable honeycomb core based on a network of joints with hidden topological surfaces. The first design solution utilizes the... more
Two design solutions are proposed for the development of an adaptive compliant aircraft wing frame using reconfigurable honeycomb core based on a network of joints with hidden topological surfaces. The first design solution utilizes the lever actuators integrated with the honeycomb structure of the wing frame, the second one uses actuators in the form of mechatronic nodes. In addition, this research outlines the development potential of the ideas on the using of smart materials and artificial muscles. Applied use of the dynamic spatial forms can be extended to many industrial and utility products and, in general, is aimed at filling the object-spatial environment with objects of dynamic functionality and aesthetics. The objective of future studies in this topic is to implement the topological optimization of the reconfigurable honeycomb core and selecting various cell form combinations optimal for each instance.
Research Interests: Design, Shape Modeling, Geometric Modelling, Aircraft Design, Computational Design, and 12 moreAerodynamic design of aircraft, Aircraft Structures, Aircraft Structural Design and Analysis, Airplanes, Airplane Design, Unmanned Aerial Vehicle (UAV), Morphing Wing, Cad Cam, Rushan Ziatdinov, Adaptive Wing, Adaptive compliant wing, and Tritetraflexagon
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Интерактивными геометрическими системами (ИГС) [1] называются программные среды, которые позволяют делать геометрические построения на компьютере таким образом, что при движении исходных объектов фигура сохраняет свою целостность.... more
Интерактивными геометрическими системами (ИГС) [1] называются программные среды, которые позволяют делать геометрические построения на компьютере таким образом, что при движении исходных объектов фигура сохраняет свою целостность. Geogebra предназначена прежде всего для решения задач школьного курса геометрии: в ней можно создавать всевозможные конструкции из точек, векторов, отрезков, прямых, строить графики элементарных функций, которые также возможно динамически изменять варьированием некоторого параметра, входящего в уравнение, а также строить перпендикулярные и параллельные заданной прямой линии, серединные перпендикуляры, биссектрисы углов, касательные, определять длины отрезков, площади многоугольников и замкнутых кривых и т.д. Кроме того, координаты точек могут быть введены вручную на панели объектов, а уравнения кривых, касательные в строке ввода при помощи соответствующих команд. Geogebra применяется также для демонстрации теорем. Решенные с ее помощью задачи легко просмот...
Toon Boom Animation, программный софт которой является мировым лидером в анимационном программном обеспечении. Toon Boom позволяет создавать интерактивные анимации, предназначенные для иллюстрации теоретического материала во время урока и... more
Toon Boom Animation, программный софт которой является мировым лидером в анимационном программном обеспечении. Toon Boom позволяет создавать интерактивные анимации, предназначенные для иллюстрации теоретического материала во время урока и выполнения практических упражнений в классе или дома. Анимации можно демонстрировать в on-line режиме или сохранить в виде файлов для последующего использования в режиме off-line. Разработка электронных учебных пособий (ЭУП) для изучения корейского языка в формате мультимедийных электронных книг также является одной из актуальных задач, рассмотрению которых будут посвящены наши дальнейшие работы.
This article studies families of curves with monotonic curvature function (MC-curves) and their applications in geometric modelling and aesthetic design. Aesthetic analysis and assessment of the structure and plastic qualities of... more
This article studies families of curves with monotonic curvature function (MC-curves) and their applications in geometric modelling and aesthetic design. Aesthetic analysis and assessment of the structure and plastic qualities of pseudospirals, which are curves with monotonic curvature function, are conducted for the first time in the field of geometric modelling from the position of technical aesthetics laws. The example of car body surface modelling with the use of aesthetics splines is given.
The effects of computer-assisted and distance learning of geometric modeling and computer aided geometric design are studied. It was shown that computer algebra systems and dynamic geometric environments can be considered as excellent... more
The effects of computer-assisted and distance learning of geometric modeling and computer aided geometric design are studied. It was shown that computer algebra systems and dynamic geometric environments can be considered as excellent tools for teaching mathematical concepts of mentioned areas, and distance education technologies would be indispensable for consolidation of successfully passed topics.
Animation, which is basically a form of pictorial presentation, has become the most prominent feature of technology-based learning environments. It refers to simulated motion pictures showing movement of drawn objects. Recently,... more
Animation, which is basically a form of pictorial presentation, has become the most prominent feature of technology-based learning environments. It refers to simulated motion pictures showing movement of drawn objects. Recently, educational computer animation has turned out to be one of the most elegant tools for presenting multimedia materials for learners, and its significance in helping to understand and remember information has greatly increased since the advent of powerful graphics-oriented computers. In this book chapter we introduce and discuss the history of computer animation, its well-known fundamental principles and some educational applications. It is however still debatable if truly educational computer animations help in learning, as the research on whether animation aids learners' understanding of dynamic phenomena has come up with positive, negative and neutral results. We have tried to provide as much detailed information on computer animation as we could, and w...
Computer animation in the past decade has become one of the most noticeable features of technology-based learning environments. With today's high educational demands as well as the lack of time provided for certain courses, classical... more
Computer animation in the past decade has become one of the most noticeable features of technology-based learning environments. With today's high educational demands as well as the lack of time provided for certain courses, classical educational methods have shown deficiencies in keeping up with the drastic changes observed in the digital era. Without taking into account various significant factors such as gender, age, level of interest and memory level, educational animation may turn out to be insufficient for learners or fail to meet their needs. However, we have noticed that the applications of animation for education have been given only inadequate attention, and students' personality types have never been taken into account. We suggest there is an interesting relationship here, and propose essential factors in creating educational animations based on students' personality types. Particularly, we investigate how information in computer animation may be presented in a...
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Animation, basically a form of pictorial presentation, has become the most prominent feature of technology-based learning environments. Animation refers to simulated motion pictures showing movement of drawn objects. Educational animation... more
Animation, basically a form of pictorial presentation, has become the most prominent feature of technology-based learning environments. Animation refers to simulated motion pictures showing movement of drawn objects. Educational animation is one of the most elegant tools for presenting materials for learners. Its significance in helping learners to understand and remember information has greatly increased since the advent of powerful graphics-oriented computers. It may be very useful for learning about some topics in the natural sciences, where educational modelling and preparing materials convenient for learning can reduce the time required in class and increase the efficiency of the educational process. On the other hand social sciences like English language and literature can benefit from the possibility of creating animated multimedia books. By utilizing animation students develop skills competencies in visual communication, storytelling, observation and sensory aspects, problem...
In this paper we discuss the variety of planar spiral segments and their applications in objects in both the real and artificial world. The discussed curves with monotonic curvature function are well-known in geometric modelling and... more
In this paper we discuss the variety of planar spiral segments and their applications in objects in both the real and artificial world. The discussed curves with monotonic curvature function are well-known in geometric modelling and computer aided geometric design as fair curves, and they are very significant in aesthetic shape modelling. Fair curve segments are used for two-point G1 and G2 Hermite interpolation, as well as for generating aesthetic splines.
In this paper, we describe the possibilities of using a rapid mental computation system in elementary education. The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very... more
In this paper, we describe the possibilities of using a rapid mental computation system in elementary education. The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very quickly. These operations are actually simple algorithms which can develop or improve the algorithmic thinking of pupils. Using a rapid mental computation system allows forming the basis for the study of computer science in secondary school.
The informational educational environment (IEE) of an institution is a complex multilevel system which, along with methodical, organizational and cultural resources, accumulates the intellectual and technical potential of a university, as... more
The informational educational environment (IEE) of an institution is a complex multilevel system which, along with methodical, organizational and cultural resources, accumulates the intellectual and technical potential of a university, as well as the informative and activity components of the learners and teachers. In practice, the formation of IEE is actually based on the creation of information technologies and their integration into the existing educational environment of the institution. The management of this system is carried out using specialized equipment and software. For the successful formation and operation of IEE, in the present work we review software products that form the basis of the organization of interactive and web interactions between students, teachers and all participants of the educational process. We analyse the technical capabilities that have provided users with IEE services such as the Apache web server with connected modules PHP, MySQL, the Java virtual...
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ABSTRACT In this paper, we describe an algorithm for generating a C-shaped G2 multispiral transition curve between two non-parallel straight lines. The G2 multispiral is a curve that consists of two or more log-aesthetic curve segments... more
ABSTRACT In this paper, we describe an algorithm for generating a C-shaped G2 multispiral transition curve between two non-parallel straight lines. The G2 multispiral is a curve that consists of two or more log-aesthetic curve segments connected with curvature continuity, and it has inflection endpoints. Compound-rhythm log-aesthetic curves are not directly applicable to the generation of transition curves between two straight lines, which is important in highway and railroad track design, because both endpoints are required to be inflection points. Thus, a new approach for generating transition curves is necessary. The two log-aesthetic curve segments with shape parameter α<0 are connected at the origin, and they form a multispiral. The problem is to find a similar triangle, as in the given data. Depending on the parameter αα, the G2 multispiral transition curve may have different shapes; moreover, the shape of the curve approximates a circular arc as αα decreases. The obtained curves also find applications in gear design and fillet modeling.
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This article proposes a technique for the geometrically stable modeling of high-degree B-spline curves based on S-polygon in a float format, which will allow the accurate positioning of the end points of curves and the direction of the... more
This article proposes a technique for the geometrically stable modeling of high-degree B-spline curves based on S-polygon in a float format, which will allow the accurate positioning of the end points of curves and the direction of the tangent vectors. The method of shape approximation is described with the purpose of providing geometrical proximity between the original and approximating curve. The content of the notion of a "harmonious, regular form" of B-spline curve's S-polygon in a float format is revealed as a factor in achieving a high-quality of fit for the generated curve. The expediency of the shape modeling method based on S-polygon in a float format at the end portions of the curve for quality control of curve modeling and editing is substantiated. The results of a comparative test are presented, demonstrating the superlative efficacy of using the Mineur-Farin configuration for constructing constant and monotone curvature curves based on an S-polygon in a float format. The findings presented in this article confirm that it is preferable to employ the principle of "constructing a control polygon of a harmonious form (or the Mineur-Farin configuration) of a parametric polynomial" to a B-spline curve's S-polygon in a float format, and not to a B-polygon of the Bézier curve. Recommendations are given for prospective studies in the field of applying the technique of constructing a high-quality B-spline curves to the approximation of log-aesthetic curves, Ziatdinov's superspirals, etc. The authors of the article developed a technique for constructing smooth connections of B-spline curves with ensuring a high order of smoothness of the composite curve. The proposed techniques are implemented in the FairCurveModeler program as a plug-in to engineering CAD systems.
Research Interests: Approximation Theory, Design, Approximation Algorithms, Geometric modeling (Computer Science), Computational Design, and 12 moreNURBS, Computer Aided Geometric Design, CAD/CAM, Bezier Curve, Polynomial Approximation Theory, B-spline, Function approximation, B-Splines, NURBS Modelling, High-quality Curve, log-aesthetic curve, and High-quality Shape
Dew collection, and devices for such, may play an important role in regions of our planet that are arid and lack clean water. Usually, dew collection devices are represented as an inclined plane, which is a trivial topology. In this work,... more
Dew collection, and devices for such, may play an important role in regions of our planet that are arid and lack clean water. Usually, dew collection devices are represented as an inclined plane, which is a trivial topology. In this work, we first propose the concept a dew collection device with a helicoidal structure in order to increase its surface area, and we suggest taking into account Frenkel's mathematical model of sliding drops on an inclined surface as the fundamental idea in designing dew collection devices. We also believe that in the future this mathematical model can be used to investigate the possibility of condensing liquid drops within other planets' atmospheres that contain hydrogen and oxygen. Finally, we represent our concept as a three-dimensional Rhino model.
Research Interests: African Studies, Design, Water, Water resources, Water Engineering, and 12 moreArid Land Ecology, Arid environments, Mathematical Modeling, Fog ecology, Water Supply, CAD/CAM, Fog collection, Sustainable Development & Arid Landscape Arch, Semi-arid Environments, Condensation, Fog water collection, and Dew collection
Two design solutions are proposed for the development of an adaptive compliant aircraft wing frame using reconfigurable honeycomb core based on a network of joints with hidden topological surfaces. The first design solution utilizes the... more
Two design solutions are proposed for the development of an adaptive compliant aircraft wing frame using reconfigurable honeycomb core based on a network of joints with hidden topological surfaces. The first design solution utilizes the lever actuators integrated with the honeycomb structure of the wing frame, the second one uses actuators in the form of mechatronic nodes. In addition, this research outlines the development potential of the ideas on the using of smart materials and artificial muscles. Applied use of the dynamic spatial forms can be extended to many industrial and utility products and, in general, is aimed at filling the object-spatial environment with objects of dynamic functionality and aesthetics. The objective of future studies in this topic is to implement the topological optimization of the reconfigurable honeycomb core and selecting various cell form combinations optimal for each instance.
Research Interests: Design, Shape Modeling, Geometric Modelling, Aircraft Design, Computational Design, and 12 moreAerodynamic design of aircraft, Aircraft Structures, CAD/CAM, Aircraft Structural Design and Analysis, Airplanes, Airplane Design, Unmanned Aerial Vehicle (UAV), Morphing Wing, Rushan Ziatdinov, Adaptive Wing, Adaptive compliant wing, and Tritetraflexagon
Superspirals include a very broad family of monotonic curvature curves, whose radius of curvature is defined by a completely monotonic Gauss hypergeometric function. They are generalizations of log-aesthetic curves, and other curves whose... more
Superspirals include a very broad family of monotonic curvature curves, whose radius of curvature is defined by a completely monotonic Gauss hypergeometric function. They are generalizations of log-aesthetic curves, and other curves whose radius of curvature is a particular case of a completely monotonic Gauss hypergeometric function. In this work, we study superspirals of confluent type via similarity geometry. Through a detailed investigation of the similarity curvatures of superspirals of confluent type, we find a new class of planar curves with monotone curvature in terms of Tricomi confluent hypergeometric function. Moreover, the proposed ideas will be our guide to expanding superspirals.
Research Interests: Integrated CAD/CAM systems, 3D Shape, Differential Geometry, Geometric modeling (Computer Science), Computational Design, and 13 moreComputer Aided Geometric Design, CAD/CAM, Special functions, Hypergeometric Function, Hypergeometric functions, Geometric Modeling, Confluent Hypergeometric Functions, Monotonicity of a Function, High-quality Curve, Superspiral, log-aesthetic curve, Similarity Geometry, and Aesthetic Shape Modeling
Unlike many other works, where authors are usually focused on one or two quality criteria, the current manuscript, which is a generalization of the article [35] published in Russian, offers a multi-criteria approach to the assessment of... more
Unlike many other works, where authors are usually focused on one or two quality criteria, the current manuscript, which is a generalization of the article [35] published in Russian, offers a multi-criteria approach to the assessment of the shape quality of curves that constitute component parts of the surfaces used for the computer modelling of object shapes in various types of design. Based on the analysis of point particle motion along a curved path, requirements for the quality of functional curves are proposed: a high order of smoothness, a minimum number of curvature extrema, minimization of the maximum value of curvature and its variation rate, minimization of the potential energy of the curve, and aesthetic analysis from the standpoint of the laws of technical aesthetics. The authors do not set themselves the task of giving a simple and precise mathematical definition of such curves. On the contrary, this category can include various curves that meet certain quality criteria, the refinement and addition of which is possible in the near future. Engineering practice shows that quality criteria can change over time, which does not diminish the need to develop multi-criteria methods for assessing the quality of geometric shapes. Technical issues faced during edge rounding in 3D models that affect the quality of industrial design product shape have been reviewed as an example of the imperfection of existing CAD systems.