Summary: IEEE SIGNAL PROCESSING LETTERS, VOL. 12, NO. 1, JANUARY 2005 63
Impulsive Noise Removal Using Threshold Boolean
Filtering Based on the Impulse Detecting Functions
Igor Aizenberg, Member, IEEE, Constantine Butakoff, and Dmitriy Paliy
Abstract--A new filter for impulsive noise removal is presented
here. The problem of impulsive noise elimination is closely con-
nected with the problem of maximal preservation of image edges.
To avoid smoothing of the image during filtering, all noisy pixels
must be detected. We consider here an approach, which is based
on threshold Boolean filtering, where the binary slices of an image,
obtained by the threshold decomposition, are processed by the
impulse-detecting Boolean functions proposed in the paper. These
functions provide a possibility of single-pass filtering, because they
detect and replace impulses at the same time.
Index Terms--Impulse detection, impulsive noise, threshold
IMPULSIVE noise always significantly damages an image.
Noise with even a small corruption rate can corrupt most
important details. A commonly used filtering approach in this