Fast algorithm for computing integrals of special form
V.A. Kudelkin, Yu.L. Ratis

Integra-S Consortium, Samara, Russia,
Image Processing Systems Institute оf the RAS, Samara, Russia,
Samara State Aerospace University (SSAU), Samara, Russia

Full text of article: Russian language.

Abstract:
A comparative analysis of the computational efficiency of algorithms for computing integrals of special form necessary for processing signals that arrive from optoelectronic sensors of displacement has been performed in this paper..

Key words:
computational efficiency, integrals of special form, optoelectronic sensor.

Citation:
Kudelkin VA, Ratis YuL. Fast algorithm for computing integrals of special form [In Russian]. Computer Optics 2007; 31(3): 32-39.

References:

  1. Ratis YuL, Leonovich GI. Ratis YuL, Leonovich GI. Light flux diffraction on transducers of optical voltage and optoelectronic sensors of mechanical displacement [In Russian]. Computer Optics 1996; 16: 74-77.
  2. Ratis YuL, Leonovich GI, Kurushina SE, Melnikov AYu. Nonlinear diffraction distortions of the optical response function in coding interfaces of optoelectronic sensors [In Russian]. Computer Optics 1998; 18: 61-71.
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  5. Prudnikov AP, Brychkov YuA, Marichev OI. Integrals and Series. Special Functions [In Russian]. Moscow: “Nauka” Publisher, 1981; 800 p.
  6. Ratis YuL, de Cordoba PF. A code to calculate (high order) Bessel functions based on the continued fractions method. Computer physics communications 1993; 76: 381.
  7. Ratis YuL, Segura J, de Cordoba PF. A code to evaluate Modified Bessel function based on the continued fractions method. Computer Physics Communications 1997; 105: 263-272.
  8. Ratis YuL, Bastardo JL, Abraham Ibrahim S, de Cordoba PF, Urchueguia JFS. Evaluation of Fresnel integrals based on the continued fractions method. Applied Mathematics Letters, 2005; 18: 23-28.

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