The development of wavelet theory has in recent years spawned applications in signal
processing, in fast algorithms for integral transforms, and in image and function …

This paper introduces a novel nonlinear multiscale wavelet diffusion method for ultrasound
speckle suppression and edge enhancement. This method is designed to utilize the …

Recently, Chan and Vese developed an active contour model for image segmentation and
smoothing by using piecewise constant and smooth representation of an image. Tsai et al …

We present an analysis and algorithm for the problem of super-resolution imaging, that is the
reconstruction of HR (high-resolution) images from a sequence of LR (low-resolution) …

In the past few decades, mathematics based approaches have been widely adopted in
various image restoration problems; the partial differential equation (PDE) based approach …

Adaptive Galerkin numerical schemes integrate time-dependent partial differential equations
with a finite number of basis functions, and a subset of them is selected at each time step …

In this paper, we present a new and efficient method to implement robust smoothing of low-
level signal features: B-spline channel smoothing. This method consists of three steps …

In this paper an improved hybrid method for removing noise from low SNR molecular
images is introduced. The method provides an improvement over the one suggested by Jian …

In diagnosis of diseases Ultrasonic devices are frequently used by healthcare professionals.
The main problem during diagnosis is the distortion of visual signals obtained which is due …

Surface estimation is important in many applications. When conventional smoothing
procedures (eg, running averages, local polynomial kernel smoothing procedures …