APPLICATION OF R-FUNCTIONS FOR GEOMETRIC MODELING OF COMPLEX-SHAPED OBJECTS

Authors

  • A. A. Lisnyak Zaporizhzhya National University, Ukraine
  • S. I. Gomenyuk Zaporizhzhya National University, Ukraine

DOI:

https://doi.org/10.15588/1607-3274-2009-2-14

Abstract

The problem of plotting geometrical models for engineering structures of non-standard form is considered in the paper. The review of the basic methods to describe geometrical models in modern CAD is done. Application of V. I. Rvachev's function apparatus for formal description and subsequent discretization of plane geometrical objects of complex form is discussed.

Author Biographies

A. A. Lisnyak, Zaporizhzhya National University

Postgraduate student

S. I. Gomenyuk, Zaporizhzhya National University

Doctor of Technical Sciences, Dean

References

GRUMMP – Generation and Refinement of Unstructured, Mixed-Element Meshes in Parallel [Elektronnyy resurs] – Rezhim dostupa : http://tetra.mech.ubc.ca/GRUMMP/.

Ostanin A. N. Primeneniye matematicheskikh metodov i EVM. Vychislitel'nyye metody proyektirovaniya optimal'nykh konstruktsiy: Ucheb. posobiye dlya vuzov / Pod obshch. red. A. N. Ostanina. – Mn.: Vysh. shk., 1989. – 279 s.

Kuprikov M. YU. Tverdotel'noye modelirovaniye – novyy podkhod k voprosam proyektirovaniya i podgotovki tekhnicheskoy dokumentatsii [Elektronnyy resurs] / M. YU. Kuprikov. – Rezhim dostupa : http://nit.miem. edu.ru/cgi-bin/article?id=76.

Golovanov N. N. Geometricheskoye modelirovaniye / N. N. Golovanov. – M.: Izdatel'stvo fiziko-matematicheskoy literatury, 2002. – 472 s.

Rvachev V. L. Teoriya R-funktsiy i nekotoryye yeye prilozheniya / V. L. Rvachev. – K. : Nauk. dumka, 1982. – 552 s.

Tolok V. A. Metod konechnykh elementov: teoriya, algoritmy, realizatsiya / V. A. Tolok, V. V. Kirichevskiy, S. I. Gomenyuk, S. N. Grebenyuk, D. P. Buvaylo. – K. : Nauk. dumka, 2003. – 316 s.

Skvortsov A. V. Effektivnyye algoritmy postroyeniya triangulyatsii Delone / A. V. Skvortsov, YU. L. Kostyuk // Geoinformatika. Teoriya i praktika. – Tomsk : Izd-vo Tomskogo un-ta, 1998. – Vyp. 1. – S. 22–47.

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Published

2024-10-02

How to Cite

Lisnyak, A. A., & Gomenyuk, S. I. (2024). APPLICATION OF R-FUNCTIONS FOR GEOMETRIC MODELING OF COMPLEX-SHAPED OBJECTS. Radio Electronics, Computer Science, Control, (2), 76. https://doi.org/10.15588/1607-3274-2009-2-14

Issue

No. 2 (2009): Radio Electronics, Computer Science, Control

Section

Mathematical and computer modelling

License

Copyright (c) 2014 A. A. Lisnyak, S. I. Gomenyuk

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