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Model of nonlinear blurring image

Keywords:

I.V. Zhigulina – Ph. D. (Eng.), Associate Professor, Professor, Department of Mathematics, MESC «Zhukovsky–Gagarin Air Force Academy» (Voronezh) E-mail: ira_zhigulina@mail.ru


This paper considers the model of nonlinear blurring. It is shown that the development of an effective deconvolution method is im-possible without an understanding of the video signal distortion mechanism. The light energy distribution over a discrete spatial coor-dinates at the formation of a video sequence frame is analyzed. The video signal distortion process is described by the discrete-analog representation of luminosity. The general case of a non-linear movement law is considered. Double integrals of the Heaviside function are used to find deposits of discrete-analog luminosity elements in the formation of distorted samples dynamic object. The system of linear algebraic equations for the undistorted samples of output object image video signal is obtained. The system describes the linear blur in the particular case. The law of the object image movement on the photosensitive surface is in the form of the Maclaurin expansion. Cases of uniform and uniformly accelerated motion are analyzed. Oscillating blur considered. In the simplest case, it is modeled by two successive linear blurring directed in opposite directions. Systems of linear equations for the undistorted video signal samples of a dynamic object image are obtained. It is shown that the own methods of measurement the video signal samples corresponding to a stationary background for each specific type of oscillatory blurring are re-quired.
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