Correction of perspective distortions by means of the mirror
P.I. Mikhailov

Omsk state university

Full text of article: Russian language.

Abstract:
Work is devoted elimination of the perspective distortions. In work it is offered to correct arising perspective distortions by means of a mirror of the special form. The differential equation for a surface of the mirror possessing demanded properties is received, the equation is solved numerically. Property of a mirror to eliminate perspective distortions is checked up by modeling of considered optical system by a method of ray tracing.

Key words: perspective correction, ray tracing, mirror.

References:

  1. Begunov, B.N. Geometrical optics / B.N. Begunov, Moscow, 1966 – (in Russian)
  2. Verlan A.F. Sizikov V.S. Methods of the decision of the integrated equations with the computer programs / A.F. Verlan, V.S. Sizikov – Kiev «Naukova dumka»,1978 – 292p. – (in Russian)
  3. Descartes R. Reasoning on a method with appendices: dioptrics, meteors, geometry / R. Descartes, Moscow, – 1953 – (in Russian)
  4. Rodionov S.A. Optics bases. The abstract of lectures / S.A. Rodionov – Saint Petersburg: Saint Petersburg SIEMO(TU), 2000 – (in Russian)
  5. Yakovlev A.F. The catalogue «objectives» / A.F. Yakovlev, Saint Petersburg, SOI, 1970 – (in Russian)
  6. Hartley, R.I. and Zisserman, A. Multiple View Geometry in Computer Vision - Cambridge University Press, 2004.
  7. [Electronic resource] http://imaging.nikon.com/products/imaging/technology/nikkor/n17_e.htm
  8. [Electronic resource] http://en.wikipedia.org/wiki/Perspective_correction_lens.

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