Constructing a quadratic-exponential FIR-filter with an extended frequency response midrange
Fursov V.A.

Image Processing Systems Institute оf RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia
Samara National Research University, Samara, Russia

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Abstract:
This article is concerned with synthesizing filter with finite impulse response (FIR-filters) employed to correct radially symmetric distortions such as defocusing.  We propose a new parametric class of finite impulse response filters (FIR-filters) based on a model of the one-dimensional radially symmetric frequency response. In the proposed method, the one-dimensional frequency response is composed of quadratic and exponential functions. The two-dimensional impulse response of the filter is constructed by sampling one-dimensional impulse responses for all directions. The development consists in introducing an extended mid-frequency region of the frequency response, thus increasing  the contribution of the frequencies to image correction. Examples are given in order to illustrate the possibility of the high-quality distortion correction. In particular, it is shown that the proposed method provides the restoration quality higher than that obtained when using an optimal Wiener filter (taken from OpenCV).

Keywords:
FIR-Filter, impulse response, frequency response, image processing.

Citation:
Fursov VA. Constructing a quadratic-exponential FIR-filter with an extended frequency response midrange. Computer Optics 2018; 42(2): 297-305. DOI: 10.18287/2412-6179-2018-42-2-297-305.

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