Fourier Analysis

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  Subject Areas on Research

  • A 3D wavelet fusion approach for the reconstruction of isotropic-resolution MR images from orthogonal anisotropic-resolution scans. 
  • A Novel Blaschke Unwinding Adaptive-Fourier-Decomposition-Based Signal Compression Algorithm With Application on ECG Signals. 
  • A magnetization-driven gradient echo pulse sequence for the study of myocardial perfusion. 
  • A phase space model of Fourier ptychographic microscopy. 
  • A planar slab bidomain model for cardiac tissue. 
  • A waveguide invariant adaptive matched filter for active sonar target depth classification. 
  • Abnormal foveal morphology in ocular albinism imaged with spectral-domain optical coherence tomography. 
  • Accounting for the Spatial Observation Window in the 2-D Fourier Transform Analysis of Shear Wave Attenuation. 
  • An analytic, Fourier domain description of shear wave propagation in a viscoelastic medium using asymmetric Gaussian sources. 
  • An experimental comparison of detector performance for computed radiography systems. 
  • An improved gridding method for spiral MRI using nonuniform fast Fourier transform. 
  • An x-ray study of the condensed and separated states of sciatic nerve myelin. 
  • Analysis of nuclear fiber cell cytoplasmic texture in advanced cataractous lenses from Indian subjects using Debye-Bueche theory. 
  • Analysis of primate dental microwear using image processing techniques. 
  • Analysis of the electromyographic interference pattern. 
  • Anisotropic 2-D and 3-D averaging of fMRI signals. 
  • Application of singular value decomposition to the analysis of time-resolved macromolecular x-ray data. 
  • Arterial waveguide model for shear wave elastography: implementation and in vitro validation. 
  • Assessment of critical renal ischemia with real-time infrared imaging. 
  • Assessment of the Frank-Starling relationship by two-dimensional echocardiography. 
  • Association of depressive symptoms with reduced baroreflex cardiac control in coronary artery disease. 
  • Attentive and pre-attentive aspects of figural processing. 
  • Automated quality control in nuclear medicine using the structured noise index. 
  • Automated spectral analysis II: application of wavelet shrinkage for characterization of non-parameterized signals. 
  • Bandwidth-induced errors in parameters used for automated activation time determination during computerized intraoperative cardiac mapping: theoretical limits. 
  • Beta-diversity in tropical forest trees. 
  • Biological rhythm disturbance in depression: temporal coherence of ultradian sleep EEG rhythms. 
  • Brain death alters cardiopulmonary hemodynamics and impairs right ventricular power reserve against an elevation of pulmonary vascular resistance. 
  • Cataract formation in a strain of rats selected for high oxidative stress. 
  • Cell geometry considerations for the Fourier transform ion cyclotron resonance mass spectrometry remeasurement experiment. 
  • Characteristic features of granular deposit formation in granular corneal dystrophy type 2. 
  • Characterization of Viscoelastic Materials Using Group Shear Wave Speeds. 
  • Classification and 3D averaging with missing wedge correction in biological electron tomography. 
  • Combining MALDI-FTMS and bioinformatics for rapid peptidomic comparisons. 
  • Comparative vibration levels perceived among species in a laboratory animal facility. 
  • Comparison of fluctuations of oxygen tension in FSA, 9L, and R3230AC tumors in rats. 
  • Comparison of spectral- and time-domain optical coherence tomography for retinal thickness measurements in healthy and diseased eyes. 
  • Comparison of time domain and frequency domain variables from the signal-averaged electrocardiogram: a multivariable analysis. 
  • Compressive holography. 
  • Computer-assisted modeling of blood-flow: theoretical evidence for the existence of optimal flow wave patterns. 
  • Contrast amplification in global texture orientation discrimination. 
  • Correction for Eddy Current-Induced Echo-Shifting Effect in Partial-Fourier Diffusion Tensor Imaging. 
  • Correlation of pathologic features in spectral domain optical coherence tomography with conventional retinal studies. 
  • Cryo-electron microscopy--a primer for the non-microscopist. 
  • Deconvolution of Compton scatter in SPECT. 
  • Detailed visualization of the anterior segment using fourier-domain optical coherence tomography. 
  • Determination of the depth of bromine atoms in bilayers formed from bromolipid probes. 
  • Diagnostic ability of Fourier-domain vs time-domain optical coherence tomography for glaucoma detection. 
  • Digital pathology with Fourier ptychography. 
  • Direct determination of the electron density profile of nerve myelin. 
  • Direct determination of the lamellar structure of peripheral nerve myelin at low resolution (17 A). 
  • Direct determination of the lamellar structure of peripheral nerve myelin at moderate resolution (7A). 
  • Distress and affective dysregulation in patients with borderline personality disorder: a psychophysiological ambulatory monitoring study. 
  • Effects of nitric oxide after cardiac transplantation in the setting of recipient pulmonary hypertension. 
  • Effects of undersampling on the proper interpretation of modulation transfer function, noise power spectra, and noise equivalent quanta of digital imaging systems. 
  • Efficient fourier-wavelet super-resolution. 
  • Evaluation of the effect of respiratory and anatomical variables on a Fourier technique for markerless, self-sorted 4D-CBCT. 
  • Exaggerated heart rate oscillations during two meditation techniques. 
  • Extracellular potentials and currents of a single active fiber in a restricted volume conductor. 
  • Femtosecond phase-coherent two-dimensional spectroscopy. 
  • Fluorescence photobleaching with spatial Fourier analysis: measurement of diffusion in light-scattering media. 
  • Fourier analysis of cytoplasmic texture in nuclear fiber cells from transparent and cataractous human and animal lenses. 
  • Fourier analysis of fluctuations of oxygen tension and blood flow in R3230Ac tumors and muscle in rats. 
  • Fourier analysis of textural variations in human normal and cataractous lens nuclear fiber cell cytoplasm. 
  • Fourier domain multispectral multiple scattering low coherence interferometry. 
  • Fourier-domain angle-resolved low coherence interferometry through an endoscopic fiber bundle for light-scattering spectroscopy. 
  • Fourier-domain low-coherence interferometry for light-scattering spectroscopy. 
  • High numerical aperture Fourier ptychography: principle, implementation and characterization. 
  • High resolution 4-D spectroscopy with sparse concentric shell sampling and FFT-CLEAN. 
  • High-field (9.4 T) MRI of brain dysmyelination by quantitative mapping of magnetic susceptibility. 
  • High-throughput screening for modulators of cellular contractile force. 
  • Highly accelerated MRI by skipped phase encoding and edge deghosting with array coil enhancement (SPEED-ACE). 
  • How does c-view image quality compare with conventional 2D FFDM? 
  • Hydration and steric pressures between phospholipid bilayers. 
  • Identification and localization of the fatty acid modification in ghrelin by electron capture dissociation. 
  • Identification of epsilon-N-trimethyllysine in a rat testis calcium-dependent regulatory protein of cyclic nucleotide phosphodiesterase. 
  • Imaging the ocular anterior segment with real-time, full-range Fourier-domain optical coherence tomography. 
  • Improved uniformity of aortic enhancement with customized contrast medium injection protocols at CT angiography. 
  • In vitro MR microscopy of the hippocampus in Alzheimer's disease. 
  • In vivo total retinal blood flow measurement by Fourier domain Doppler optical coherence tomography. 
  • Intracranial pressure waveform analysis during rest and suctioning. 
  • Iterative reconstruction of single-shot spiral MRI with off resonance. 
  • Limitations of approximate solutions for computing the extracellular potential of single fibers and bundle equivalents. 
  • Lipopolysaccharide bilayer structure: effect of chemotype, core mutations, divalent cations, and temperature. 
  • MR "microscopy" of the rat thorax. 
  • MR cholangiopancreatography: efficacy of three-dimensional turbo spin-echo technique. 
  • Magnetic resonance imaging of chronic myocardial infarcts in formalin-fixed human autopsy hearts. 
  • Measurement of total blood flow in the normal human retina using Doppler Fourier-domain optical coherence tomography. 
  • Measuring morphological features using light-scattering spectroscopy and Fourier-domain low-coherence interferometry. 
  • Mechanical correlates of the third heart sound. 
  • Metabolomics in premature labor: a novel approach to identify patients at risk for preterm delivery. 
  • Microtubule surface lattice and subunit structure and observations on reassembly. 
  • Milrinone improves pulmonary hemodynamics and right ventricular function in chronic pulmonary hypertension. 
  • Modeling slow-wave activity dynamics: does an exponentially dampened periodic function really fit a single night of normal human sleep? 
  • Multiplexed low coherence interferometry instrument for measuring microbicide gel thickness distribution. 
  • Nitric oxide improves pulmonary vascular impedance, transpulmonary efficiency, and left ventricular filling in chronic pulmonary hypertension. 
  • Nitric oxide in brain death related cardiovascular dysfunction. 
  • Organization of skin stratum corneum extracellular lamellae: diffraction evidence for asymmetric distribution of cholesterol. 
  • Overlapped Fourier coding for optical aberration removal. 
  • Performance characteristics of a Kodak computed radiography system. 
  • Phenylalanine 30 plays an important role in receptor binding of verotoxin-1. 
  • Photothermal optical coherence tomography of epidermal growth factor receptor in live cells using immunotargeted gold nanospheres. 
  • Pilot study of optical coherence tomography measurement of retinal blood flow in retinal and optic nerve diseases. 
  • Polar Fourier transforms of radially sampled NMR data. 
  • Potential and current distributions in a cylindrical bundle of cardiac tissue. 
  • Propagation and perception of bioluminescence: factors affecting counterillumination as a cryptic strategy. 
  • Protein tracking and detection of protein motion using atomic force microscopy. 
  • Pulmonary arterial impedance after single lung transplantation. 
  • Pulmonary hemodynamic consequences of ECG-synchronized ventilation. 
  • Pulmonary hemodynamics and blood flow characteristics in chronic pulmonary hypertension. 
  • Pulmonary vascular impedance analysis of adaptation to chronically elevated blood flow in the awake dog. 
  • Pulmonary vascular impedance and recipient chronic pulmonary hypertension following cardiac transplantation. 
  • Quantitative breast tomosynthesis: from detectability to estimability. 
  • Quantitative motor unit potential analysis. 
  • Quantitative phase imaging via Fourier ptychographic microscopy. 
  • Quantitative phase microscopy with off-axis optical coherence tomography. 
  • Radial sampling for fast NMR: Concepts and practices over three decades. 
  • Rapid and Direct Encoding of Numerosity in the Visual Stream. 
  • Rapid three-dimensional MR imaging method for tracking a bolus of contrast agent through the brain. 
  • Real-time fMRI paradigm control, physiology, and behavior combined with near real-time statistical analysis. 
  • Real-time monitoring of the gas phase reactions of a single ion population using the remeasurement experiment in Fourier transform ion cyclotron resonance mass spectrometry. 
  • Real-time quadrature projection complex conjugate resolved Fourier domain optical coherence tomography. 
  • Remeasurement of electrosprayed proteins in the trapped ion cell of a Fourier transform ion cyclotron resonance mass spectrometer. 
  • Repeatability of central corneal thickness measurements of donor corneas in preservation chamber using Fourier-domain anterior segment optical coherence tomography. 
  • Respiratory effects in two-dimensional Fourier transform MR imaging. 
  • Retinal blood flow measurement by circumpapillary Fourier domain Doppler optical coherence tomography. 
  • Right ventricular dysfunction after cardiac transplantation: primarily related to status of donor heart. 
  • Ring current effects in adriamycin-flavin mononucleotide complexation as observed by 1H FT NMR spectroscopy. 
  • Robust methodology for fractal analysis of the retinal vasculature. 
  • Scanning fiber angle-resolved low coherence interferometry. 
  • Simplified skipped phase encoding and edge deghosting (SPEED) for imaging sparse objects with applications to MRA. 
  • Simulating the electrical behavior of cardiac tissue using the bidomain model. 
  • Simulation of propagation along a cylindrical bundle of cardiac tissue--I: Mathematical formulation. 
  • Simulation of propagation along a cylindrical bundle of cardiac tissue--II: Results of simulation. 
  • Smoking and EEG power spectra: effects of differences in arousal seeking. 
  • Spectral analysis of activation time sequences. 
  • Structure and filament dynamics of the pSK41 actin-like ParM protein: implications for plasmid DNA segregation. 
  • Structures of the siroheme- and Fe4S4-containing active center of sulfite reductase in different states of oxidation: heme activation via reduction-gated exogenous ligand exchange. 
  • Subject-Specific Multiscale Modeling to Investigate Effects of Transcranial Magnetic Stimulation. 
  • The crystal structure of bovine Cu2+,Zn2+ superoxide dismutase at 5.5-A resolution. 
  • The effect of frequency estimation on speech recognition using an acoustic model of a cochlear implant. 
  • The effects of ongoing distraction on the neural processes underlying signal detection. 
  • The epicardial field potential in dog: implications for recording site density during epicardial mapping. 
  • The lamellar structure of nerve myelin after rehydration. 
  • The neural representation of speed in macaque area MT/V5. 
  • The unanticipated loss of SO2 from sulfonamides in collision-induced dissociation. 
  • Three-dimensional MR microscopy with large arrays. 
  • Time series analysis of rhythmic bacterial resistance development to antibiotics. 
  • Topological analysis of population activity in visual cortex. 
  • Transparent animals. 
  • Transport of superparamagnetic beads through a two-dimensional potential energy landscape. 
  • Treatment field shape verification using elliptic Fourier transform. 
  • Tumor-dependent kinetics of partial pressure of oxygen fluctuations during air and oxygen breathing. 
  • Ultrastructural characterization and Fourier analysis of fiber cell cytoplasm in the hyperbaric oxygen treated guinea pig lens opacification model. 
  • Velocity-resolved 3D retinal microvessel imaging using single-pass flow imaging spectral domain optical coherence tomography. 
  • Wavelet variations on the Shannon sampling theorem. 
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  Keywords of People

  • Erickson, Harold Paul, James B. Duke Distinguished Professor Emeritus, Cell Biology
  • Farsiu, Sina, Professor in the Department of Biomedical Engineering, Electrical and Computer Engineering
  • Johnson, G. Allan, Charles E. Putman University Distinguished Professor of Radiology, Biomedical Engineering
  • Nicolelis, Miguel Angelo L., Professor Emeritus of Neurobiology, Neurobiology
  • Virgin, Lawrence N., Professor of Mechanical Engineering and Materials Science, Thomas Lord Department of Mechanical Engineering and Materials Science
  • Wax, Adam P., Professor of Biomedical Engineering, Biomedical Engineering