Image Denoising is one of the fundamental and very important necessary processes in
image processing. It is still a challenging and a hot problem for researchers. Images are one …

This paper proposes a novel nonlinear filter, named rank order Laplacian of Gaussian
(ROLG) filter, based on which a new interest point detector is developed. The ROLG filter is …

The iterative truncated arithmetic mean (ITM) filter was proposed recently. It offers a way to
estimate the sample median by simple arithmetic computing instead of the time consuming …

Quadratic Volterra filters are effective in image sharpening applications. The linear
combination of polynomial terms, however, yields poor performance in noisy environments …

Huber proposed the P epsi family of epsi-contaminated normal distributions to model
environments characterized by heavy-tailed distributions. Based on this two-component …

This paper extends weighted median (WM) filters to the class of polynomial weighted
median (PWM) filters. Traditional polynomial filtering theory, based on linear combinations of …

A filter is steerable if transformed (ie, rotated, scaled, etc.) versions of its impulse response
can be expressed as linear combinations of a fixed set of basis functions. Steerability is …

The smoothing of time series plays a very important role in various practical applications.
Estimating the signal and removing the noise is the main goal of smoothing. Traditionally …

Traditional polynomial filtering theory, based on linear combinations of polynomial terms, is
able to approximate important classes of nonlinear systems. The linear combination of …

This paper considers a class of non-linear smoothers, called LULU smoothers, introduced
by Rohwer in the late eighties in the mathematics literature, and since then investigated …