Publications

Complete list can be found here [PDF, 87 Kb]. The total number of publications is 60.

Geometric Modeling, CAD, Computer Aided Geometric Design, Computer Graphics, Scientific Visualization (current research interests)

Manuscripts
1. Rushan Ziatdinov, 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, Constrained Bezier curves, Papers of Lobachevsky Mathematical Centre, Volume 40, P. 378-380, Kazan State University, Russia, 2010.
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].
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].
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 (National Research University) 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. Muftejev V. G., Ziatdinov R. (2018). Funkcional'nost' i jestetichnost' krivyh linij v promyshlennom dizajne: mnogokriterial'nyj podhod k ocenke kachestva form v CAD-sistemah budushhego, Vestnik Mashinostroenija No. 5/940 (accepted, will be published in 2018).
23. Seung Hoon Lim, Rushan Ziatdinov. (2018). Continuity problems in geometric modeling: the case of Rhinoceros 3D. Industrial Engineering Magazine (under preparation).

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

Book Reviews
1. Rushan Ziatdinov. (2013). The short review of Gerald Farin's book «Curves and Surfaces for CAGD. A Practical Guide (5th edition), Morgan-Kaufmann, 2002, ISBN 1-55860-737-4», European Researcher 46 (4-2), 945-946 [PDF].

Information Technologies in Education, Computer-Assisted Learning (current research interests)

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, PDFالجوانب 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 TypesEuropean 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].
 
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].


Mathematical modeling in theoretical physics (2005-2010)

1. Yu.G.Ignatyev, R.A.Ziatdinov. 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 90th anniversary of K.P. Staniukovich March 2-6, 2006, Moscow, Russia, P. 26 (in Russian)  [PDF.
2. Yu.G.Ignatyev, R.A.Ziatdinov. 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”, SamGTU, Samara, 2006, P. 42-45 (in Russian) [PDF].
3. [Web of Science - SCI Exp.] Yu.G.Ignatyev, R.A.Ziatdinov. Diffusion model of evolution of superthermal high-energy particles under scaling in the early universe, Gravitation & Cosmology - 2006. - V. 12 - No. 4, - P. 289-298 [PDF].
4. Yu.G.Ignatyev, R.A.Ziatdinov. Mathematical model of cosmic rays cosmological evolution//Papers of the mathematical centre of N.I.Lobachevsky. Volume 34, Kazan State University, Kazan, 2006. P.109-110 (in Russian) [PDF].
5. R.A.Ziatdinov. Research of equilibrium recovery kinetics in the early universe by means of Maple system. Proceedings of VIII International conference ”Systems of computer mathematics and their applications” (SKMP-2007), Smolensk State University, Smolensk, 2007. P.31-33 (in Russian) [PDF].
6. R.A.Ziatdinov. Research of processes kinetics with elementary particles in the early universe using CAS Maple, Bulletin of the Moscow City University of Education: Information Science, Vol. 1, No. 8, Jun. 2007, pp. 421-425 (in Russian) [PDF].
7. Yu.G.Ignatyev, R.A.Ziatdinov. The cosmological evolution of superthermal particles spectrum under scaling. Proceedings of Russian summer school-seminar - Modern theoretical problems of gravitation and cosmology, September 9-16, 2007, Tatar State University of Humanities & Education, Kazan-Yalchik, Russia, P.63-68 (in Russian) [PDF].
8. R.A.Ziatdinov. Mathematical model of cosmic rays cosmological evolution: small times approximation. Papers of the mathematical centre of N.I.Lobachevsky. Volume 36, Kazan State University, Kazan, 2007. P.84-85 (in Russian) [PDF].
9. Yu.G.Ignatyev, R.A.Ziatdinov. Research of spectra evolution of superthermal nonequilibrium particles under scaling in early universe. Proceedings of 13 Russian Gravitational Conference - International Conference on Gravitation, Cosmology and Astrophysics June 23-28, 2008, PFUR, Moscow, Russia (in Russian) [PDF].
10. [Web of Science - SCI Exp.] Yu.G.Ignatyev, R.A.Ziatdinov. Diffusion model of evolution of superthermal high-energy particles under scaling in the early Universe. II. Early stages, Gravitation & Cosmology - 2008. - V. 14 - No. 4, - P. 301-308 [Springer website].
11. [Web of Science - SCI Exp., Scopus] Yu.G.Ignatyev, R. A.Ziatdinov. Asymptotic approximation of Fokker-Plank model of superthermal ultrarelativistic particles cosmological evolution under scaling in interactions, Russian Physics Journal, V. 52 - No. 2, P. 87-91 [Springer website].
12. R.A.Ziatdinov. Mathematical model of superthermal ultrarelativistic particles cosmological evolution under scaling in Fokker-Planck approximation.//Ph. D. Thesis in mathematical modeling, numeric methods, program complexes, Kazan, 2008 (in Russian) [PDF].
13. R.A.Ziatdinov. Mathematical model of superthermal ultrarelativistic particles cosmological evolution under scaling in Fokker-Planck approximation, A short overview of PhD thesis,  Ulyanovsk, 2008 (in Russian) [PDF].
14. Yu.G.Ignatyev, R.A.Ziatdinov. Asymptotic behavior of high-energy sector of superthermal particles in expanding universe.//Proceedings of Russian summer school-seminar - Modern theoretical problems of gravitation and cosmology, August 9-16, 2009, Tatar State University of Humanities & Education, Kazan-Yalchik, Russia, P. 57-58 (in Russian) [PDF].


English Language Teaching

1. Rushan Ziatdinov. (2016). Nature, Humanising Language Teaching, UK, Issue 3, June 2016.