Multigrid methods provide a means with which to accelerate the solution of many problems derived from multidimensional linear and nonlinear Partial Differential Equations. A multigrid approach is applied to anisotropic diffusion, a process that is useful for image smoothing and edge strengthening. It is demonstrated to improve the response of the diffusion process by smoothing stubborn low-freq...

An analysis is given of the specific points of the noise power gain of the p-lag median hybrid FIR filters in applications to ultrasound image processing. An important feature of such a gain is that, at some cross points, it converges to the reduced degree one. The effect of smoothing is evaluated in terms of the signal-to-noise ratio and root mean square error metrics. We show that image enhan...

Bilateral filtering is widely used to enhance photographic images, but in most implementations is poorly suited to seismic images. A bilateral filter consists of two (domain and range) filter kernels. By replacing the domain kernel with a smoothing filter that conforms to image structures, we obtain a bilateral filter suitable for seismic image processing. Examples and comparison with conventio...

In modern textile manufacturing industries, the function of human eyes to detect disturbances in the production processes which yield defective products is switched to cameras. The camera images are analyzed with various methods to detect these disturbances automatically. There are three parts of texture analysis which are going to be studied here, i.e., image smoothing, texture synthesis and d...

A coding scheme specifically designed for animation images is proposed. Taking characteristics of animation images into account, lines and homogeneous color regions are extracted from animation images. Lines and contours of the homogeneous color regions are approximated by straight-line and spline functions. We found that smoothing operations are effective to extract homogeneous regions from ba...

A camera is often the main sensor of autonomous robots. As those embedded platforms offer minor computing power only, it is a challenge to provide a fast and robust image processing. This paper describes a new real-time structure preserving noise reduction operator based on the so-called SUSAN filtering approach. We use a correlation function to determine which part of a pixel’s neighborhood ha...

In this paper, the concept of fuzzy transformation is developed based on fuzzy ordering theory. The clustering property of the fuzzy transformation is investigated by deriving the distribution function of the fuzzy samples and is exploited to address the DCT coded image deblocking problem. In this application, the fuzzy transformation is actually a highly data-adaptive smoothing and sharpening ...

Nonlinear scalespace should be based on a hierarchical statistical model of the image intensity function. This model should contain an explicit representation of the multiscale structure of edges and corners. Using this model we can have a non-ad-hoc basis for computing the parameters we need to determine how much smoothing we should do at points that appear to be edge points. We also have a ba...

Wavelet denoising techniques are used to remove additive Gaussian noise by thresholding the wavelet coe cients. Like other transform based lters, wavelet shrinkage methods provide blur or visual artifacts that are exhibited in the neighborhood of image edges. The motive for implementing the Hybrid Wavelet Transform Filter (HWTF) is to provide discriminate smoothing operator for noise removal. T...