We introduce a new nonlinear filter for signal and image restoration, the hybrid order statistic (HOS) filter. Because it exploits both rank- and spatial-order information, the HOS realizes the advantages of nonlinear filters in edge preservation and reduction of impulsive noise components while retaining the ability of the linear filter to suppress Gaussian noise. We show that the HOS filter exhibits improved performance over both the linear Wiener and the nonlinear L filters in reducing mean-squared error in the presence of contaminated Gaussian noise. In many cases it also performs favorably compared with the Ll and rank-conditioned rank selection filters.
© 2001 Optical Society of America
(100.2000) Image processing : Digital image processing
Original Manuscript: June 21, 2000
Revised Manuscript: October 30, 2000
Published: February 10, 2001
Elizabeth A. Thompson, Russell C. Hardie, and Kenneth E. Barner, "Hybrid order statistic filter and its application to image restoration," Appl. Opt. 40, 656-661 (2001)