In this paper, a multilevel correction scheme is proposed to solve the Steklov eigenvalue problem by nonconforming finite element methods. With this new scheme, the accuracy of eigenpair approximations can be improved after each correction step which only needs to solve a source problem on finer finite element space and an Steklov eigenvalue problem on the coarsest finite element space. This co...

Studies show that all the published work in flicker correction to date only deals with black and white motion pictures. In this paper, we will look into the problem of flicker correction in color motion pictures and propose a method to address this problem. The method is based on a simplified flicker parameter model developed by us in [5] which was originally used for flicker correction in blac...

In this paper, a type of multi-level correction scheme is proposed to solve eigenvalue problems by the nonconforming finite element method. With this new scheme, the accuracy of eigenpair approximations can be improved after each correction step which only needs to solve a source problem on finer finite element space and an eigenvalue problem on the coarsest finite element space. This correctio...

Introduction: An important step in the reconstruction of an EPI scan is the phase correction between the odd and even lines to reduce the Nyquist ghost. Typically, the correction is performed for each channel, slice, and repetition of a data set separately. We propose a phase correction technique, which determines the phase correction differences between channels and slices with high accuracy i...

Field inhomogeneity and susceptibility variations, coupled with a long readout, can result in image blurring in spiral imaging. Many correction methods based on a priori off-resonance information, such as an acquired field map, have been proposed in the literature. Automatic off-resonance correction methods are alternative approaches that estimate a field map from the image data themselves. In ...

INTRODUCTION Cardiac and respiratory fluctuations (physiological noise) are known to be confounding signals in the detection of cortical activation by fMRI. The standard correction method RETROICOR [1] has been used to perform a global correction by folding the whole time series (TS) into only one signal cycle and to use this global template to correct each individual cycle. We extended RETROIC...