Image Deblurring Based on Physical Processes of Blur Impacts

  • Andrei Bogoslovsky
  • Irina Zhigulina
  • Eugene Bogoslovsky
  • Vitaly Vasilyev
Part of the Intelligent Systems Reference Library book series (ISRL, volume 135)


Main methods of image deblurring, as well as their advantages and disadvantages, are considered in this chapter. It is revealed that these methods do not take into account the physical processes that occur during a blur impact. It is shown that instead of the continuous function of illuminating intensity it is convenient to consider its discrete-analog modification, in which the size of a discrete will be equal to the size of a photosensitive element. In the case of the stationary images, such replacement will not impact on the formed video signal in any way. On the contrary, when objects move relative to the fixed sensor, the processes of blur may appear. Due to these reasons, the models of various blur types, such as the linear, non-linear, and vibrational models, were built. Note that these models are subdivided on the models with the small and large blur according to the ratio of movement displacement of an object and its length. The constructed models are the systems of the simple non-uniform algebraic equations with non-singular matrixes that allows to build the deblurring algorithms. The proposed algorithms were tested using natural images obtained from the imaging device layout.


Image deblurring Blind deconvolution Small blur Large blur Vibrational blur System of equations Image restoration Matrix methods 


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Andrei Bogoslovsky
    • 1
  • Irina Zhigulina
    • 1
  • Eugene Bogoslovsky
    • 1
  • Vitaly Vasilyev
    • 1
  1. 1.Air Force Military Training and Scientific Center “Air Force Academy”VoronezhRussian Federation

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