Evolution-Operator-Based Single-Step Method for Image Processing

Evolution-Operator-Based Single-Step Method for Image Processing

This work proposes an evolution-operator-based single-time-step method for image and signal processing. The key component of the proposed method is a local spectral evolution kernel (LSEK) that analytically integrates a class of evolution partial differential equations (PDEs). From the point of view PDEs, the LSEK provides the analytical solution in a single time step, and is of spectral accura...

Surface Image Processing Operator

A Multidimensional Energy Operator for Image Processing

The 1-D nonlinear differential operator (f) = (11)2 If" has been recently introduced to signal processing and has been found very useful for estimating the parameters of sinusoids and the modulating signals of AM—FM signals. It is called an energy operator because it can track the energy of an oscillator source generating a sinusoidal signal. In this paper we introduce the multidimensional exte...

The Image Torque Operator for Contour Processing

Contours are salient features for image description, but the detection and localization of boundary contours is still considered a challenging problem. This paper introduces a new tool for edge processing implementing the Gestaltism idea of edge grouping. This tool is a mid-level image operator, called the Torque operator, that is designed to help detect closed contours in images. The torque op...

Image Processing via the Beltrami Operator

We present a framework for enhancing images while pre serving either the edge or the orientation dependent texture informa tion present in them We do this by treating images as manifolds in a feature space This geometrical interpretation leads to a natural way for grey level color movies volumetric medical data and color texture im age enhancement Following this we invoke the Polyakov action fr...