We present a denoising technique in the domain of time series data that presumes a model for the uncorrupted underlying signal rather than a model for noise. Specifically, we show how the non-linear reconstruction of the underlying dynamical system by way of time delay embedding yields a new solution for denoising where the underlying dynamics is assumed to be highly non-linear yet low-dimensio...

In this study, we proposed the new reconstruction techniques for magnetic resonance imaging (MRI) using filtered back projection (FBP) or simultaneous reconstruction technique (SIRT). We converted the k-space which was acquired by conventional phase-encoding schemes from Cartesian coordinates to polar coordinates and created the projection. The linear interpolation and the sinc interpolation we...

This paper applies a 3-D nonuniform fast Fourier transform (NUFFT) migration method to image both free-space and buried targets from data collected by a ultra-wideband ground penetrating radar (GPR) system. The method incorporates the NUFFT algorithm into 3-D phase shift migration to evaluate the inverse Fourier transform more accurately and more efficiently than the conventional migration meth...

Phase-shifting interferometry with a genetic algorithm is proposed. The correction of unknown phase-shifting error is an important task in general phase-shifting interferometry. Since phase-shifting errors generate twin image noise in a reconstructed image, we can reduce the phase-shifting errors indirectly by trying to eliminate the twin-image noise in the reconstructed image. By Zernike polyn...

In this paper, shift multiplex recording of phase data pages on a volume polarization-sensitive medium by retardagraphy is demonstrated. The origin of shift selectivity in volume retardagraphy is explained. In the experiment, four-valued phase data pages are used. Then, a coding method is proposed to correct a reconstructed phase pattern. The recorded phase data pages are reconstructed using th...

INTRODUCTION: Diffusion-weighted imaging (DWI) data acquired with interleaved EPI sequence are highly susceptible to inter-segment phase variations and aliasing artifacts induced by motion in the presence of strong diffusion weighting gradients. The multiplexed sensitivity-encoding (MUSE) method 1 was recently reported to reliably remove aliasing artifacts in interleaved Cartesian EPI based hig...

Speech production is essentially a nonlinear dynamic process. Motivated by ideas in dynamic system research, this paper seeks to recast the speech representation problem (front-end) as an attempt to reconstruct the phase space of the production process, or articulatory configurations. We point out that the use of the delta and double delta features, common in current ASR (Automatic Speech Recog...

In theory, most MRI images depict the spin density as a function of position, and hence should be real valued. If this were true, then by the symmetry of the Fourier transform, only half of the spatial-frequency data will need to be collected. Since real functions have conjugate symmetry in spatial frequency space, the uncollected data could be synthesized by reflecting conjugate data across th...