Publications OF Prof. RUSHAN ZIATDINOV

Prof. Rushan Ziatdinov has been a columnist at The Korea Times (a sister newspaper of 한국일보), South Korea's oldest English newspaper,  since September 2021. His writings can be found on the Internet (here or here).

Manuscripts

1. Rushan Ziatdinov. (2010). Geometric modelling and projective geometry problems with Geogebra, Proceedings of international conference on Information Technologies, March 3-5, 2010, Tomsk State Polytechnic University, Tomsk, Russia [PDF, 1MB].

2. Rushan Ziatdinov. (2010). Constrained Bezier curves, Papers of Lobachevsky Mathematical Centre, Volume 40, P. 378-380, Kazan State University, Russia.

3. Rushan Ziatdinov. A degenerate conics construction from control points of a planar cubic Bezier curve, Papers of Lobachevsky Mathematical Centre, Volume 40, P. 381-382, Kazan State University, Russia, 2010.

4. [Web of Science - SCI] Rushan Ziatdinov, Norimasa Yoshida, Tae-wan Kim. (2012). Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions, Computer Aided Geometric Design 29(2), 129-140  [Elsevier website] [PDF, 1 Mb] (5th from Top 25 Hottest Articles, January to March 2012 Top 25, 12th from Top 25 Hottest Articles, January to December 2012 full year, Top 25).

5. [Web of Science - SCI] Rushan Ziatdinov, Norimasa Yoshida, Tae-wan Kim. (2012). Fitting G2 multispiral transition curve joining two straight lines, Computer-Aided Design 44(6), 591–596 [Elsevier website] [PDF, 1 Mb]. ★ ★ ★ Recommended for further reading by the Nature journal until 2020.

6. [Web of Science - SCI] Rushan Ziatdinov. (2012). Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function, Computer Aided Geometric Design 29(7), 510–518 [Elsevier website] [Graphical Abstract] [Video] [PDF, 624 Kb]. ★ ★ ★ Recommended for further reading by the Nature journal until 2020.

7. Rushan Ziatdinov, Kenjiro T. Miura, 2012. On the variety of planar spirals and their applications in computer aided design, European Researcher 27(8-2), 1227-1232 [PDF, 405 Kb] [arXiv:1305.1473 [cs.GR]].

8. Rushan Ziatdinov, Kenjiro T. Miura, "High-quality curves and their applications in geometric modeling and aesthetic design, In: Systems of design, technological preparation of manufacture and management phases of the life cycle of industrial products (CAD/CAM/PDM-2012), Institute of Control Problems, Russian Academy of Sciences, Moscow, Russia, pp. 145-148, October 16-18, 2012 (in Russian) [PDF, 416Kb].

9. Rushan Ziatdinov, Rifkat I. Nabiyev, Kenjiro T. Miura. (2013). On some families of planar curves with monotonic curvature function, their aesthetic measures and applications in industrial design, Bulletin of Moscow Aviation Institute 20(2), 209-218.

10. Rushan Ziatdinov, Rifkat I. Nabiyev, Kenjiro T. Miura. (2013). MC-curves and aesthetic measurements for pseudospiral curve segments, Mathematical Design & Technical Aesthetics 1(1), 6-17 [download PDF] [arXiv:1305.1737 [cs.GR]].

11. Rushan Ziatdinov, Rifkat I. Nabiyev. (2013). Editors' note, Mathematical Design & Technical Aesthetics 1(1), 2-3 [download PDF].

12.  [Scopus] Abdullah Arslan, Ergin Tari, Rushan Ziatdinov, Rifkat I. Nabiyev. (2014). Transition Curve Modelling with Kinematical Properties: Research on Log-Aesthetic Curves, Computer Aided Design & Applications 11(5), 509-517 (Taylor & Francis website).

13. Rifkat I. Nabiyev, Rushan Ziatdinov, Aesthetic analysis of planar curves with monotonic curvature function. I. Pseudospirals, In: Systems of design, technological preparation of manufacture and management phases of the life cycle of industrial products (CAD/CAM/PDM-2012), Institute of Control Problems, Russian Academy of Sciences, Moscow, Russia, October 16-18, 2013, page 234 [PDF] [Conference website].

14. Rushan Ziatdinov, Rifkat I. Nabiyev, Some notes about definition of mathematical design, In: Systems of design, technological preparation of manufacture and management phases of the life cycle of industrial products (CAD/CAM/PDM-2012), Institute of Control Problems, Russian Academy of Sciences, Moscow, Russia, October 16-18, 2013, page 236 [PDF] [Conference website].

15. Rifkat I. Nabiyev, Rushan Ziatdinov. (2014). A mathematical design and evaluation of Bernstein-Bézier curves’ shape features using the laws of technical aesthetics, Mathematical Design & Technical Aesthetics 2(1), 6-13 [PDF] [arXiv:1410.3018 [cs.GR]].

16. Rifkat I. Nabiyev, Rushan Ziatdinov. (2014). Evaluation of Bernstein-Bézier curves’ shape features using the laws of technical aesthetics, In: Systems of design, technological preparation of manufacture and management phases of the life cycle of industrial products (CAD/CAM/PDM-2014), Institute of Control Problems, Russian Academy of Sciences, Moscow, Russia [Conference website].

17. [Web of Science - SCI] Rushan Ziatdinov, Tae-wan Kim, Rifkat I. Nabiyev. (2015). Two-point G1 Hermite interpolation in biangular coordinates, Journal of Computational and Applied Mathematics 287, 1–11 [Elsevier website].

18. Rifkat I. Nabiyev, Rushan Ziatdinov. (2015). What is mathematical design? Izvestiya Sochi State University 34(1), 37-39 [PDF].

19. Р. А. Зиатдинов, Р. И. Набиев. (2015). Двуxточечная Эрмитова интерполяция класса G1 в биангулярной системе координат, Тезисы международной конференции “Функциональные пространства и теория приближения функций”, посвященная 110-летию со дня рождения академика С. М. Никольского (25–29 мая 2015 г., МИАН, г. Москва): Тезисы докладов – М.: МИАН, 2015, стр. 146 [Conference proceedings].

20. [Scopus] Rushan Ziatdinov. (2016). Visual Perception, Quantity of Information Function and the Concept of the Quantity of Information Continuous Splines, Scientific Visualization 8(1), 168-178 [Journal website] [ResearchGate].

21. [Web of Science - SCI] Rushan Ziatdinov, Norimasa Yoshida, Tae-wan Kim. (2015). Visualization of regions of monotonic curvature for interpolating extended sectrix of Maclaurin segments, Computer Aided Geometric Design, Elsevier [Elsevier website] [ResearchGate].

22. [Web of Science - ESCI, Scopus] Alexey V. Ivchenko, Rushan Ziatdinov. (2017). Flexagon grid: a novel method of creating dynamic spatial forms based on the synthesis of tritetraflexagons, Engineering Science and Technology, an International Journal, 20(5), 1500-1506. [ResearchGate] Elsevier website].

23. Valeriyan Muftejev, Rushan Ziatdinov. (2018). Functionality and aesthetics of curved lines in industrial design: a multi-criteria approach to assessing the quality of forms in CAD systems of the future, Vestnik Mashinostroyeniya, Issue 7, 23-27 (in Russian).

24. [Web of Science - RSCI, Scopus] Rushan Ziatdinov, Valerijan G. Muftejev, Rustam I. Akhmetshin, Alexander P. Zelev, Rifkat I. Nabiyev, Albert R. Mardanov. (2018). Universal software platform for visualizing class F curves, log-aesthetic curves and development of applied CAD systems, Scientific Visualization 10(3), 85-98 [Journal website] [ResearchGate].

25. [Scopus] Rushan Ziatdinov, Valerijan Muftejev, Rifkat Nabiyev, Albert Mardanov, Rustam Akhmetshin. (2018). Techniques for modeling a high-quality B-spline curves by S-polygons in a float format, Proceedings of International Conference on Computer Graphics and Vision “GraphiCon”, ISSN 2618-8317, Issue 1, 324-327 [ResearchGate] [arXiv:1812.04223].

26. [Web of Science - SCI] Jun-ichi Inoguchi, Rushan Ziatdinov, Kenjiro T. Miura. (2018). Generalization of log-aesthetic curves via similarity geometry, Japan Journal of Industrial and Applied Mathematics 36(1), 239-259 [ResearchGate] [Springer website].

27. [Scopus] Ziatdinov, R., Nabiyev, R., Kim, H., & Lim, S. H. (2019). The Concept of a Dew Collection Device Based on the Mathematical Model of Sliding Liquid Drops on an Inclined Solid Surface. In IOP Conference Series: Earth and Environmental Science (Vol. 272, No. 2, p. 022091). IOP Publishing, USA [ResearchGate] [website].

28. [Web of Science - SCI Exp., Scopus] Alexey I. Ivchenko, Nikolay Sharonov, Rushan Ziatdinov. (2019). A new conceptual model of an adaptive compliant wing for an aircraft, Engineering Science and Technology, an International Journal 22(5), 1149-1154 [ResearchGate] [Elsevier website].

29. [Web of Science - SCI , Scopus] Inoguchi, J.-I.; Ziatdinov, R.; Miura, K.T. (2020). A note on superspirals of confluent type. Mathematics 2020, 8, 762 [ResearchGate] [journal website]. 

30. [Scopus] Valerijan Muftejev, Rushan Ziatdinov, Rifkat Nabiyev. (2020). Multi-Criteria Assessment of Shape Quality in CAD Systems of the Future. Proceedings of the 30th International Conference on Computer Graphics and Machine Vision (GraphiCon 2020), Saint Petersburg, Russia, September 22-25, 2020 [PDF] [ResearchGate].

31. V.G. Muftejev, А. Maximenko, R.I. Akhmetshin, A.P. Zelev, Rushan Ziatdinov, F.T. Ziganshina, R.I. Nabiyev, I.M. Farkhutdinov, M.M. Fattakhov. (2021). Applied CAD Systems and Applications Based on the C3D Geometric Modeling Kernel, Used for the Design of Products with Functional Curves. Proceedings of the 31th International Conference on Computer Graphics and Machine Vision (GraphiCon 2021), Nizhny Novgorod State Technical University, Nizhny Novgorod, Russia, September 21-24, 2021 [ResearchGate].

32. [Web of Science - SCI Exp.] Ziatdinov, R.; Valles, J.R., Jr. (2022). Synthesis of Modeling, Visualization, and Programming in GeoGebra as an Effective Approach for Teaching and Learning STEM Topics. Mathematics, 10, 398 [ResearchGate]. 

33. V.G. Muftejev, F.T. Ziganshina, Rushan Ziatdinov. (2022). An evolutionary algorithm for smoothing a curve generated from an array of noisy points. Proceedings of International Conference on Computer Graphics and Vision “GraphiCon 2022”, pp. 899-905 [ResearchGate] [Conference website].

34.  [Web of Science - SCI Exp.] Taş, F., & Ziatdinov, R. (2023). Developable Ruled Surfaces Generated by the Curvature Axis of a Curve. Axioms, 12(12), 1090 [MDPI website]. 

Textbooks/Course Materials 

1. Nabiyev, R. I., Nabiyev, I., & Ziatdinov, R. (2013). Introduction to the artistic design and Bernstein-Bezier curve and surface theory in preparation of a fashion designer. Ufa State University of Economics and Service, Ufa, Russia. (70 pages). ISBN 978-5-88469-641-9. [Russian National Library website] [available upon request]. 

Book Reviews 

1. Ziatdinov, R. (2013). The short review of Gerald Farin's book "Curves and Surfaces for CAGD: A Practical Guide (5th edition)," European Researcher, 46(4-2), 945-946. [PDF]. 

1.  [Web of Science - ESCI, Scopus] Ziatdinov R, Atteraya MS, Nabiyev R. The Fifth Industrial Revolution as a Transformative Step towards Society 5.0. Societies. 2024; 14(2):19. https://doi.org/10.3390/soc14020019  

Manuscripts

1. R.A. Ziatdinov, Use of interactive geometrical system Geogebra in educational process, Proceedings of 10th International conference ”Systems of computer mathematics and their applications” (SKMP-2009), Smolensk State University, Smolensk, 2009, P. 39-40 (in Russian) [PDF].

2. Rushan Ziatdinov, Sajid Musa. (2012). Rapid mental computation system as a tool for algorithmic thinking of elementary school students development, European Researcher 25 (7), 1105-1110 [PDF, 134 Kb].

3. Rushan Ziatdinov, Valery M. Rakuta. (2012). Dynamic geometry environments as a tool for computer modeling in the system of modern mathematics education, European Journal of Contemporary Education 1(1), 93-100 [PDF].

4. Ömer Faruk Sözcü, Rushan Ziatdinov. (2012). The effects of computer assisted and distance learning of geometric modelling, Abstracts of The 6th International Computer and Instructional Technologies Symposium, Gaziantep University, Turkey  [PDF, 190 KB] [Presentation, 780 KB].

5. Ramziya Bikchentaeva, Rushan Ziatdinov. (2012). The use of computer animation in teaching Korean language to the students of journalism majors. Materials of international conference "Multimedia journalism Eurasia-2012", Kazan Federal University, Russia [PDF] [DOC].

6. Omer Faruk Sozcu, Rushan Ziatdinov, Ismail Ipek. (2013). The effects of computer assisted and distance learning of geometric modelling, European Researcher 39(1-2), pp. 175-181[PDF] [arXiv:1305.2276 [cs.CY]].

7. Sajid Musa, Rushan Ziatdinov. (2012). Features and historical aspects of the Philippines educational system, European Journal of Contemporary Education 2(2), 155-176 [PDF].

8. Daniel Jarvis and Rushan Ziatdinov. (2013). Editorial, European Journal of Contemporary Education 4(2-1), 68-71(GeoGebra in Digital Era [Special issue])  [PDF] .

9. İpek, İ., Sözcü, Ö. F., & Ziatdinov, R. (2013). Birleştirilmiş E-Öğrenme Tasarımı Modeli ve Hızlı Öğretim Tasarımı Stratejileri. Akademik Bilişim Konferansı.

10. Sajid Musa, Rushan Ziatdinov. (2013). Theoretical aspects of creating educational computer animations based on psychological characteristics of human temperament, In: Collection of materials and scientific articles of the VII International scientific and practical conference "Multimedia Journalism of Eurasia - 2013", Kazan Federal University, Russia, December 11-12, 2013, pp. 144-145 [PDF].

    Translations:

• • [Turkish, PDF] İnsan Mizacının Özelliklerine Dayalı Eğitsel Bilgisayar Animasyonlarının Oluşturulmasına Teorik Bakış Açısı.

  • [Chinese, PDF] 创建关于人的气质的心理特性的电脑动画理论方面的教育.

  • [Arabic, PDF]  الجوانب النظرية لابتكار رسوم متحركة تعليمية في الكمبيوتر على أساس الخصائص النفسية للإنسان و مزاجه

11. Rifkat I. Nabiyev, Ilshat H. Nabiyev, Rushan Ziatdinov. (2014). The potential of mobile exhibition as a form of implementation for social transformation and educational expo-design in addressing public social problems, Mathematical Design & Technical Aesthetics 2(1), 14-35 [PDF].

12. Rushan Ziatdinov, Rifkat Nabiyev, Mehmetcan Südan. (2014). Visual perception and information concentration along visual borders from the point of view of information theory, In Abstracts of the 8th International Computer & Instructional Technologies Symposium, Trakya University (pp. 99). Edirne, Turkey.

13. Irina Erjomina, Aleksandr Rozentsvaig, Rushan Ziatdinov. (2015). Server component installation and testing of the university information and educational environment on the Moodle LMS platform, Izvestiya Sochi State University, 34(1), 24-32 [ResearchGate].

14. [ERIC] Sajid Musa, Rushan Ziatdinov, Omer Faruk Sozcu, Carol Griffiths. (2015). Developing Educational Computer Animation Based on Human Personality Types, European Journal of Contemporary Education 11(1), 52-71 [PDF] [arXiv:1503.06958 [cs.HC]].

15. [Web of Science - ESCI, ERIC]  Ismail Ipek, Rushan Ziatdinov, Omer Faruk Sozcu, Yury S. Tyunnikov. (2016). Computer-Assisted Learning, Multimedia Instruction, Learning, Design, Development and Methods for Future Learning Designs: A Special Issue, European Journal of Contemporary Education 15(1), 5-6 [PDF].

16. [Web of Science - ESCI, Scopus, ERIC]  Rushan Ziatdinov, Yury S. Tyunnikov. (2016). Towards the Bright Future: Editors' Note, European Journal of Contemporary Education, 17(3), 261-262 [PDF].

17. [Web of Science - ESCI, Scopus, ERIC]  Bahri Aydin, Rushan Ziatdinov. (2016). How Students Acquire Self-Control: Primary School Teachers’ Concepts from Turkey, European Journal of Contemporary Education 18(4), 390-397 [PDF].

18. [Web of Science - ESCI, Scopus, ERIC]  Ismail Ipek, Rushan Ziatdinov. (2017). New Approaches and Emerging Trends in Educational Technology for Learning and Teaching in Academia and Industry: A Special Issue, European Journal of Contemporary Education 6(1), 182-184 [PDF].

19. [Web of Science - ESCI, Scopus, ERIC]  Ismail Ipek, Rushan Ziatdinov. (2017). New Approaches and Trends in the Philosophy of Educational Technology for Learning and Teaching Environments, European Journal of Contemporary Education 6(3): 381-389 [PDF].

20. [Web of Science - ESCI, Scopus, ERIC]  Rushan Ziatdinov, Juanee Cilliers. (2021). Generation Alpha: Understanding the Next Cohort of University Students. European Journal of Contemporary Education 10(3): 783-789 [PDF].

Book Chapters

1. [ERIC] Musa, S; Ziatdinov, R; Griffiths, C. (2013). Introduction to computer animation and its possible educational applications. In M. Gallová, J. Gunčaga, Z. Chanasová, M.M. Chovancová (Eds.), New Challenges in Education. Retrospection of history of education to the future in the interdisciplinary dialogue among didactics of various school subjects (1st ed., pp. 177-205). Ružomberok, Slovakia: VERBUM – vydavateľstvo Katolíckej univerzity v Ružomberku (supported by ERASMUS programme) [PDF]. 

Textbooks/Course Materials 

1. Sajid Musa, Rushan Ziatdinov, Rifkat I. Nabiyev, Dale Hemenway. (2013). Introduction to computer animation. I. Character design with Anime Studio 6, 65 pages, ISBN 978-5-88469-642-6, Published in Ufa State University of Economics and Service, Ufa, Russia [Russian National Library website] [available upon request]. 

1. Ignatyev, Y. G., & Ziatdinov, R. A. (2006). Diffusion model of evolution of superthermal high-energy particles under scaling in the early Universe. Proceedings of the International Conference on Gravitation, Cosmology, and Astrophysics dedicated to the 90th anniversary of K.P. Staniukovich, 26. (in Russian)  [PDF] .

2. Ignatyev, Y. G., & Ziatdinov, R. A. (2006). Mathematical model of relic particles spectrum evolution in the range of ultrahigh energies. Maple research. Proceedings of the third All-Russia conference ”Mathematical modelling and boundary problems”, 42-45. (in Russian) [PDF].

3. [Web of Science - SCI Exp.] Ignatyev, Y. G., & Ziatdinov, R. A. (2006). Diffusion model of evolution of superthermal high-energy particles under scaling in the early universe. Gravitation & Cosmology, 12(4), 289-298. [PDF].

4. Ignatyev, Y. G., & Ziatdinov, R. A. (2006). Mathematical model of cosmic rays cosmological evolution. Papers of the mathematical centre of N.I.Lobachevsky, 34, 109-110. (in Russian) [PDF].

5. Ziatdinov, R. A. (2007). Research of equilibrium recovery kinetics in the early universe by means of CAS Maple. Proceedings of VIII International conference ”Systems of computer mathematics and their applications” (SKMP-2007), 31-33. (in Russian) [PDF].

6. Ziatdinov, R. A. (2007). Research of processes kinetics with elementary particles in the early universe using CAS Maple. Bulletin of the Moscow City University of Education: Information Science, 1(8), 421-425. (in Russian) [PDF].

7. Ignatyev, Y. G., & Ziatdinov, R. A. (2007). The cosmological evolution of superthermal particles spectrum under scaling. Proceedings of Russian summer school-seminar - Modern theoretical problems of gravitation and cosmology, 63-68. (in Russian) [PDF].

8. Ziatdinov, R. A. (2007). Mathematical model of cosmic rays cosmological evolution: small times approximation. Papers of the mathematical centre of N.I. Lobachevsky, 36, 84-85. (in Russian) [PDF].

9. Ignatyev, Y. G., & Ziatdinov, R. A. (2008). Research of spectra evolution of superthermal nonequilibrium particles under scaling in early universe. In Proceedings of 13 Russian Gravitational Conference - International Conference on Gravitation, Cosmology and Astrophysics (in Russian) [PDF].

10. [Web of Science - SCI Exp.] Ignatyev, Y. G., & Ziatdinov, R. A. (2008). Diffusion model of evolution of superthermal high-energy particles under scaling in the early Universe. II. Early stages. Gravitation & Cosmology, 14(4), 301-308 [Springer website].

11. [Web of Science - SCI Exp., Scopus] gnatyev, Y. G., & Ziatdinov, R. A. (2009). Asymptotic approximation of Fokker-Plank model of superthermal ultrarelativistic particles cosmological evolution under scaling in interactions. Russian Physics Journal, 52(2), 87-91. [Springer website].

12. Ziatdinov, R. A. (2008). Mathematical model of superthermal ultrarelativistic particles cosmological evolution under scaling in Fokker-Planck approximation. (PhD thesis). Kazan, Russia. [PDF].

13. Ziatdinov, R. A. (2008). Mathematical model of superthermal ultrarelativistic particles cosmological evolution under scaling in Fokker-Planck approximation. A short overview of PhD thesis. Ulyanovsk, Russia. [PDF].

14. Ignatyev, Y. G., & Ziatdinov, R. A. (2009). Asymptotic behavior of high-energy sector of superthermal particles in expanding universe. In Proceedings of Russian summer school-seminar - Modern theoretical problems of gravitation and cosmology (pp. 57-58). Tatar State University of Humanities & Education, Kazan-Yalchik, Russia. [PDF].