Control of form for NURBS-curve by changing the weights of nodal points

Authors

  • Ірина Миколаївна Ганношина Kyiv State Maritime Academy named after hetman Petro Konashevich-Sahaydachniy, str. Frunze 9, Kyiv, 04071, Ukraine https://orcid.org/0000-0001-5810-2462

DOI:

https://doi.org/10.15587/2312-8372.2015.45120

Keywords:

NURBS-curve, fixed point, weight of nodal point, complementary diagram of charts

Abstract

The author offers a way to control the form of NURBS-curve, changing scales of control points. It is proposed to build additional graphics of influence of each control point from which to draw conclusions about weight changes of each control point to achieve the desired shape. Each graph shows the change in shape of the curve in the case of weight change per unit, as well as the overall shape is formed as the sum of these graphs, the designer easily determines how much weight must change each checkpoint to reach such shape that has been identified as desirable. The proposed method makes it possible easily change the shape of the curve, which tracts need to increase or decrease the bulge that change the overall shape of projected curve. Results of research provide a new effective method of designing complex curved forms of machines and units working in a moving media.

Author Biography

Ірина Миколаївна Ганношина, Kyiv State Maritime Academy named after hetman Petro Konashevich-Sahaydachniy, str. Frunze 9, Kyiv, 04071

Senior Lecturer

Department of Information Technologies

References

  1. Efimov, N. V. (1971). Higher geometry. M.: Publishing House "Science", 576.
  2. Faux, I. D., Pratt, M. J. (1982). Computational Geometry for Design and Manufacture. Translated from English. Moscow: Publishing House "Mir ", 304.
  3. Badayev, Y., Blindaruk, A. (2014). Curvature management of the 3rd order nurbs curve by means of the control vector-points weight. Water transportation, 3, 103-105
  4. Lan, H. (2008, June 30). Research of whole fairing and approximation algorithm of NURBS curve. Journal of Computer Applications, Vol. 28, № 1, 181–183. doi:10.3724/sp.j.1087.2008.00181
  5. Schumaker, L. L., Farin, G. (1993, January). NURBS for Curve and Surface Design. Mathematics of Computation, Vol. 60, № 201, 439. doi:10.2307/2153186
  6. Badaev, Y. І., Blindaruk, S. A. (2014). Features local modifications smooth NURBS-curve. Proceedings of the XV International scientific-practical conference "Modern information and electronic technologies". Vol. 1. Odessa, 26–27.
  7. Badaev, Y. І., Blindaruk, S. A. (2014). Computer design implementation curved contours curved contours design by NURBS-technologies of higher order. Modern problems of modeling. Melitopol: MDPU, 3–6.
  8. Badaev, Y. I., Lahodina, L. P., Klimov, L. Y. (2010). Polar vector-field tissue parametric conversion curves. Kyiv: Applied geometry and engineering graphics, 83, 131–136.
  9. Chernyak, V. I. (2010). The modification of the method of identification and smoothing approximation oscillating spatial discrete points presented curves. Kyiv: Applied geometry and engineering graphics, 83, 182–187.
  10. Ausheva, N. V. (2009). Definitions parametric curves based kvaternianiv collinear with the vector part. Melitopol: Applied geometry and engineering graphics, 4 (43), 67-72.
  11. Badaev, Y. I., Kovtun, O. M. (2009). Spline fifth degree polynomial segment for four points and two derivatives in them. Kyiv: Applied geometry and engineering graphics, 81, 78–82.
  12. Bidnichenko, A. I., Kuklin, O. Y. (2008). Modification cubic parametric curve for solution of problems of geometric modeling. Kyiv: Applied geometry and engineering graphics, 79, 170–175.

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Published

2015-05-28

How to Cite

Ганношина, І. М. (2015). Control of form for NURBS-curve by changing the weights of nodal points. Technology Audit and Production Reserves, 3(2(23), 67–70. https://doi.org/10.15587/2312-8372.2015.45120

Issue

Vol. 3 No. 2(23) (2015): Systems and control processes. Information technologies. Mathematical modeling. Information and control systems

Section

Mathematical Modeling: Original Research

License

Copyright (c) 2016 Ірина Миколаївна Ганношина

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