AT-2FF: Adaptive Type-2 Fuzzy Filter for De-noising Images Corrupted
  with Salt-and-Pepper
Vikas Singh
Noise is inevitably common in digital images, leading to visual image
deterioration. Therefore, a suitable filtering method is required to lessen the
noise while preserving the image features (edges, corners, etc.). This paper
presents the efficient type-2 fuzzy weighted mean filter with an adaptive
threshold to remove the SAP noise. The present filter has two primary steps:
The first stage categorizes images as lightly, medium, and heavily corrupted
based on an adaptive threshold by comparing the M-ALD of processed pixels with
the upper and lower MF of the type-2 fuzzy identifier. The second stage
eliminates corrupted pixels by computing the appropriate weight using GMF with
the mean and variance of the uncorrupted pixels in the filter window.
Simulation results vividly show that the obtained denoised images preserve
image features, i.e., edges, corners, and other sharp structures, compared with
different filtering methods.