A class of circularly-symmetric CNN spatial linear filters

Design of Circularly Symmetric Two-Dimensional Linear-Phase Lowpass FIR Filters using Closed-Form Expressions

CNN-based difference-controlled adaptive non-linear image filters

In this paper, we develop a common cellular neural network framework for various adaptive nonlinear filters based on robust statistic and geometry-driven diffusion paradigms. The base models of both approaches are defined as difference-controlled nonlinear CNN templates while the self-adjusting property is ensured by simple analogic (analog and logic) CNN algorithms. Two adaptive strategies are...

A Novel Approach for the design of 2D Sharp Circularly Symmetric FIR Filters

In applications like weather monitoring, remote sensing, seismic signal processing etc, the boundaries and sharp features of the images have to be enhanced to obtain useful results and interpretations. The two dimensional(2D) highpass filters are used for such image processing applications. A direct design of the 2D high pass filter using frequency transformation has not been reported in the li...

On circularly symmetric functions

Let D ⊂ C and 0 ∈ D. A set D is circularly symmetric if for each % ∈ R a set D ∩ {ζ ∈ C : |ζ| = %} is one of three forms: an empty set, a whole circle, a curve symmetric with respect to the real axis containing %. A function f ∈ A is circularly symmetric if f(∆) is a circularly symmetric set. The class of all such functions we denote by X. The above definitions were given by Jenkins in [2]. In ...

On Circularly Symmetric Functions

1. In addition to the study devoted to the general class of normalized regular univalent functions in the unit circle considerable attention has been given to certain subclasses of these functions such as starlike functions, convex functions, and others. In view of the important role played by symmetrization methods in recent work it seems worth while to study a further subclass—the class of ci...