Neumann-Pearson-optimized algorithms for estimating white Gaussian pulse noise on images

Самойлин Е.А. Оптимальные по критерию Неймана-Пирсона алгоритмы оценивания белых гауссовых импульсных помех на изображениях // Оптический журнал. 2009. Т. 76. № 2. С. 13–19.

Samoylin E.A. Neumann-Pearson-optimized algorithms for estimating white Gaussian pulse noise on images [in Russian] // Opticheskii Zhurnal. 2009. V. 76. № 2. P. 13–19.

E. A. Samoĭlin, "Neumann-Pearson-optimized algorithms for estimating white Gaussian pulse noise on images," Journal of Optical Technology. 76 (2), 63-68 (2009). https://doi.org/10.1364/JOT.76.000063

Statistically optimal algorithms using the Neumann-Pearson criterion for estimating the spatial position of pulse noise with a white Gaussian brightness distribution on images have been synthesized, consisting of minimizing the pass-noise probability at a given false-alarm probability and the false-alarm probability at a fixed pass level. Results are presented for numerical studies of the synthesized algorithms, indicating their advantages over known nonoptimal algorithms.