In this paper, we are interested by the enhancement of colour images, where we present a numerical scheme to implement non linear diffusion filter. This scheme is developed to denoise colour images corrupted by additive noise. It is based on harmonic averaging that takes into account correlation between all colour components of the image. The proposed scheme is an efficient tool at image select...

Nonlinear anisotropic diffusion algorithms provide significant improvement in image enhancement as compared to linear filters. However, the excessive computational cost of solving nonlinear PDEs precludes their use in real-time vision applications. In the present paper, we show that two orders of magnitude speed improvement is provided by a new image filtering paradigm in which an adaptively de...

odor emission is a common environmental problem in septic tank. the feasibility of using trickling filter to eliminate the malodorous gases from the septic tank was studied. a trickling filter is set up at the outlet of the waste gases of the septic tank, which was attached to the university's cafeteria. in this investigation, the trickling filter system was used, measuring the hydrogen sulfide...

This paper compares filtering methods for automated breast ultrasound images. The Perona-Malik diffusion filter, the diffusion stick filter and a simple median filter are evaluated as preprocessing methods for segmentation and characterization of lesions in breast ultrasound. In particular, preservation of small relevant image features, edge enhancement characteristics, and computational costs ...

Ultrasound (US) imaging is a valuable imaging technique for clinical diagnosis. It is noninvasive in nature and imaging the internal structure of the body to identify the probabilistic diseases or, abnormalities in tissues behavior. However, inherent response of speckle noise in US images limit the fine and edge details which affect the contrast resolution. This makes clinical diagnosis more di...

Kalman filtering is introduced as a rational means for developing a monitoring strategy for concrete structures. The mathematics and utility of linear Kalman filters are presented briefly, and the use of linear filters is demonstrated for Fickian diffusion. The nonlinear extended Kalman filter is introduced and its utility in estimating a transport parameter is demonstrated. The concrete servic...

For a class of partially observed diffusions, conditions are given for the map from initial condition signal to filtering distribution be contractive with respect Wasserstein distances, rate which does not necessarily depend on dimension state-space. The main assumptions that has affine drift and constant diffusion coefficient likelihood functions log-concave. Ergodic nonergodic signals handled...

We consider an affine term structure model of interest rates, where the factors satisfy a linear diffusion equation. We assume that the information available to an agent comes from observing the yields of a finite number of traded bonds and that this information is not sufficient to reconstruct exactly the factors. We derive a method to obtain arbitrage-free prices of illiquid or non traded bon...

The diffusion process can be seen as an evolution process with an artificial time variable t denoting the diffusion time where the input image is smoothed at a constant rate in all directions. Starting from the initial image u(x), the evolving images u(x, t) under the governed equation represent the successively smoothed versions of the initial input image f (x), and thus create a scale space r...