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  5. VOL 43, NO 6 (2021)
  6. pp. 50-60

COSINE BASED STEREOINTERPOLATION

Y.N. Gruts, P.O. Holotiuk

Èlektron. model. 2021, 43(6):50-60

https://doi.org/10.15407/emodel.43.06.050

ABSTRACT

Considered the future development of the computer procedure for stereo interpolation, implemented on the basis of two cosine waves with a variable period. The proposed procedure is designed to create and visualize a 3D curve passing through three arbitrary points in the stereo vision space, specified by the researcher using a stereo cursor. The feature of this method is the implemented mode in which the tangent drawn to the curve at the midpoint is always parallel to the line segment connecting the end points. The two cosine waves merge harmoniously around the midpoint, and this gives the researcher the feeling that the synthesized curve stretches for the midpoint as it moves.

KEYWORDS

wireframe models, stereography, stereo operator, stereo indicator, stereointerpolator.

REFERENCES

  1. Rogers, L. and Adams, J. (1980), Matematicheskiye osnovy mashinnoy grafiki [Mathematical foundations of machine graphics], Mashinostroyeniye, Moscow, USSR.
  2. Gruts, Yu.N. (1989), Stereoskopicheskaya mashinnaya grafika [Stereoscopic computer graphics], Naukova Dumka, Kyiv, USSR, ISBN 5-12-001188-8.
  3. Evdokimov, V.F. and Gruts, Yu.N. (2003), “Graphic stereo editor for working with three-dimensional objects of skeletal type”, IPME NAN Ukrayiny. Zbirnyk naukovykh prats, Vol. 20, pp. 105–112.
  4. Gruts, Y.N. (1999), “Stereointerpolation Procedure”, Engineering Simulation, Vol. 17, pp. 117-125.
    https://doi.org/10.1061/(ASCE)0733-9445(1999)125:2(117)
  5. Yarovoy, R.V. and Gruts, Yu.N. (2010), “Algorithm for increasing the accuracy of the interpolation curve synthesis”, Elektronnoye modelirovaniye, Vol. 32, no. 5, pp. 105-111.
  6. Korn, G. and Korn, T. (1968), Spravochnik po matematike [Handbook of mathematics], Nauka, Moscow, USSR.
  7. Gruts, Y.N., Jung-Young, Son and Donghoon, Kong (2001), “Stereoscopic operators and their Application”, Journal of Optical Society of Korea, Vol. 5, no. 3, pp. 90-92.
    https://doi.org/10.3807/JOSK.2001.5.3.090

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