Technology of enhancing image detalization with nonlinear correction of highly gradient fragments

Abstract

The article is devoted to the problem of improving the quality of images recorded using low-resolution optical instruments, including diffraction-based cameras. A two-stage image correction technology is proposed. At the first stage, the correction is carried out using a linear FIR filter with a centrally symmetric frequency response in the form of quadratic and exponential functions. The resulting image is then processed with a non-linear filter that performs computer retouching of image areas characterized by a noticeable brightness difference. This procedure is only performed on those pixels in which the absolute value of gradients in different directions is sufficiently high, that is, they are located on the borders of areas with different intensity levels. This allows us to avoid noise amplification in the background, which is typical of traditional filters. The examples of the implementation are provided, showing the possibility of achieving high sharpness and illustrating how the filter can be adjusted by visual perception.

Measurement Reduction Methods for Processing Tomographic Images

“…The solution is obtained by minimizing the sum of the residual functional and the stabilizer. Due to the practical importance of such methods, their development remains relevant [ 2 , 23 , 24 , 25 , 26 ]. However, the regularized least squares functional is not, in general, related to estimation error.…”