Maximum Absolute Relative Differences Statistic for Removing Random-Valued Impulse Noise from Given Image

In this work, we suggest a new impulse statistic and a new spatial gradient to design a trilateral filter for removal of mixture of Gaussian and impulse noise from a noisy image. The proposed impulse statistic is termed as maximum absolute relative differences statistic, and it is used to remove impulse noise. For Gaussian noise removal, we design modified spatial gradient-based bilateral filter ‘MSG-BF’. We also empirically show performance of the proposed algorithm for detection and removal of noisy pixels in comparison with directional absolute relative differences statistic and other methods. Also experimental results show that our method achieves better results in terms of quantitative measures of signal restoration and qualitative judgments of image quality.