ANIMATION OF THREE-DIMENSIONAL OBJECTS USING ITERATIVE METHODS

Authors

  • Aleksandr Romanyuk Vinnitsa National Technical University http://orcid.org/
  • Svetlana Kirilashuk Vinnitsa National Technical University http://orcid.org/
  • S. Vyatkin Institute of Automation and Electrometry SB RAS http://orcid.org/
  • Nikolaj Nechiporuk Vinnitsa National Technical University http://orcid.org/

DOI:

https://doi.org/10.30890/2567-5273.2019-07-01-084

Keywords:

animation, inverse kinematics, iterative methods

Abstract

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References

Kwan W. Chin “Closed-form and generalized Inverse Kinematics solutions for animating the human articulated structure”. 1996. http://www.citeulike.org/user/hurricane/article/1370370

Paolo Baerlocher, “Inverse Kinematics Techniques for the interactive posture control of articulated figures”. Dissertation N 2383, Swiss Federal Institute of Technology, Lausanne, EPFL, Switzerland 2001.

Lee, G.C.S. (1982). Robot arm kinematics, dynamics and control. Computer, 15(12), 62-79.

Anon (1992).SEA Mathematical Formulae and Statistical Tables Book. Secondary Education Authority.

Craig, J.J. (1989). Introduction to Robotics: Mechanics and Control. Addison-Wesley.

Sasaki, S. (1995). Feasibility studies of kinematics problems of general serial-link robot manipulators. Robotica, 12, 309-322.

Richard H. Byrd, P. Lu, J.Nocedal and C. Zhu. “A limited memory algorithm for bound constrained optimization”, SIAM Journal on Scientific Programming Computing, 16, 5 pp.1190-1208.1994.

Richard H. Byrd, J.Nocedal and R.B.Schnabel, “Representation of quasi-Newton matrices and their use in limited memory methods”, Mathematical Programming 63, 4, 1994, pp.129-156.

D. C. Liu and J.Nocedal, “On the limited memory BFGS method for large scale optimization methods”, Mathematical Programming 45 (1989), pp. 503-528.

J.Nocedal, “Updating quasi-Newton matrices with limited storage”, Mathematics of Computation 35 (1980), pp. 773-782.

Richard H. Byrd, Jorge Nocedal and Ciyou Zhu “Towards a Discrete Newton Method with Memory for Large Scale Optimization”/Di Pillo, Gianni (ed.) et al., Nonlinear optimization and applications. Proceedings of the 21st workshop, Erice, Italy, June 13-21, 1995. New York, NY: Plenum Press. 1-12 (1996).

Ciyou Zhu, Richard H. Byrd, Peihuang Lu and Jorge Nocedal. L-BFGS-B: Fortran Subroutines for large-scale bound constrained optimization. SIAM Journal on Physical Review B, 53(4):1740-1743, 1996.

D. C. Liu and J.Nocedal, “On the limited memory BFGS method for large scale optimization methods”, Mathematical Programming 45 (1989), pp. 503-528.

O. N. Romaniuk, A.V. Chorniy High-performance methods and means of coloring three-dimensional graphic objects. Monograph. - Vinnytsya: UNIVESUM-Vinnitsa, 2006.

Published

2017-04-29

How to Cite

Романюк, А., Кирилащук, С., Вяткин, С., & Нечипорук, Н. (2017). ANIMATION OF THREE-DIMENSIONAL OBJECTS USING ITERATIVE METHODS. Modern Engineering and Innovative Technologies, 1(07-01), 59–62. https://doi.org/10.30890/2567-5273.2019-07-01-084

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