Search PubMed⌕ Search

SEARCH · Search PubMed

Results for “Fourier Analysis”

Search indexed PubMed citations on genomics, clinical trials, systematic reviews and public health. Explore titles, authors and supplied subject terms, then open the PubMed record.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 109 records · Page 6Linked to original sources
PubMedDate not supplied

Psychophysiological diagnostics in alcohol dependency: Fourier analysis of pupillary oscillations and the receptor test for determination of cholinergic deficiency.

Mnestic disturbances in alcoholics may be related to cholinergic deficiency as well as to central nervous system inactivation. After instillation of tropicamide, cholinergic receptors are blocked and pupillary dilatation occurs. It is assumed that the more severe the cognitive deterioration, the wider the pupillary dilatation. Pupillary oscillations reflect central activation. Changes of pupillary diameter after topical instillation of tropicamide and pupillary oscillations were measured in 44 alcohol-dependent patients aged 40-55 years, diagnosed according to the DSM-III-R as severe alcoholics (>7 symptoms), having been abstinent for at least 3 weeks (objectively tested with carbohydrate-deficient transferrin), compared with 18 healthy controls. The pupillary diameter of the left eye was measured eight times within 103 min, as were pupillary oscillations. Using Fourier analysis, the amplitudes of oscillations were measured in five frequency bands and the sum of the frequency bands was calculated. In addition, central activation was measured during a calculation test at 3 and 103 min. The pupillary dilatation of 22% in alcoholics compared to 14% of normal controls after tropicamide raises the question of a cholinergic deficit in alcohol dependence. With regard to basic activation, measured by Fourier analysis of pupillary oscillations, alcoholics demonstrated significantly lower power (sum of the frequency bands) than controls at baseline and at 3, 20, and 40 min (P < 0.01) as well as at 60, 80, 100, and 103 min (P < 0.05). After a cognitive task, a difference between alcoholics and healthy controls was found at 3 min. Alcoholics showed lower basic activation and decreased cognitive activation. By means of cross-validation, a differentiation between alcohol-dependent patients (n = 44 and n = 42 respectively) and normal controls (n = 18) was possible.

Adult↗
PubMed2002

A Fourier analysis of symmetry in protein structure.

The score matrix from a structure comparison program (SAP) was used to search for repeated structures using a Fourier analysis. When tested with artificial data, a simple Fourier transform of the smoothed matrix provided a clear signal of the repeat periodicity that could be used to extract the repeating units with the SAP program. The strength of the Fourier signal was calibrated against the signal from model proteins. The most useful of these was the novel random-walk approach employed to generate realistic 'fake' structures. On the basis of these it was possible to conclude that only a small proportion of protein structures have an unexpected degree of symmetry. Artificially generated 'ideal' folds provided an upper limit on the strength of signal that could be expected from a 'perfectly' repeating compact structure. Unexpectedly, some of the very regular beta-propellor folds attained the same strength but the majority of symmetric structures lay below this region. When native proteins were ranked by the power of their spectrum a wide variety of fold types were seen to score highly. In the betaalpha class, these included the globular betaalpha proteins and the more repetitive leucine-rich betaalpha folds. In the all-beta class; beta-propellors, beta-prisms and beta-helices were found as well as the more globular gamma-crystalin domains. When this ranked list was filtered to remove proteins that contained detectable internal sequence similarity (using the program REPRO), the list became exclusively composed of just globular betaalpha class proteins and in the top 50 re-ranked proteins, only a single 4-fold propellor structure remained.

Fourier Analysis↗
PubMed2001

Evolution of the periodicity and the self-similarity in DNA sequence: a Fourier transform analysis.

Fourier transform analysis was applied to elucidate the periodical and self-similar properties in the DNA sequences mainly of beta-globin genes in different species, and the evolutionary change in those properties was then investigated. Map patterns of a two-dimensional DNA walk showed that the stretches of exons are significantly shorter than those of introns, suggesting that the evolution of exons is driven by natural selection, whereas that of introns is generated by unknown internal rules. Using a monomer analysis, we obtained the power spectra of four different bases, A, G, C, and T, in DNA sequences. Periodicities in the short- (2 to 10 base pairs [bp]), medium- (10 to 50 bp) and long-range order (50 to 300 bp) of beta-globin gene sequences could be observed, and power spectral densities of these periodicities were increased with evolution. These results suggest the existence of the internal rules in the occurrence of the synonymous and nonsynonymous substitutions in the sequences, the destabilization of the interaction between DNA and histone protein, and the stabilization of the chromatin structure, respectively. Moreover, 1/f(alpha) analysis of the power spectra (log-log plot) in the far long-range region (160 to 16,000 bp) suggested the increase in the self-similarity (the fractal structure) of DNA sequences with evolution. A general trend of the increase in a 3 bp periodicity with evolution might be functionally related to the CAG trinucleotide repeat diseases such as Huntington chorea, where a marked periodicity of 3 bp could be observed. Fourier transform analysis applied to a DNA sequence offers a great new avenue for extracting information on the evolution of a DNA sequence.

Animals↗
PubMed1993

A new technique for improved diagnosis of local placental abnormalities: Fourier analysis of intraplacental waveforms.

A new method to diagnose localized placental lesions is introduced. The method involves Fourier analysis of intraplacental and umbilical Doppler velocity waveforms. It is shown, using a theoretical model based on an electrical transmission line approach, that intraplacental waveforms that are of higher pulsatilities than those in the umbilical artery indicate placental abnormalities. The method was applied in a series of cases with normal umbilical waveforms in which placental abnormalities were diagnosed. The method promises to be more sensitive and specific than analyzing umbilical waveforms alone as it does not depend on uncertain threshold values.

Adult↗
PubMed2003

A new local multiscale Fourier analysis for medical imaging.

The Stockwell transform (ST), recently developed for geophysics, combines features of the Fourier, Gabor and wavelet transforms; it reveals frequency variation over time or space. This valuable information is obtained by Fourier analysis of a small segment of a signal at a time. Localization of the Fourier spectrum is achieved by filtering the signal with frequency-dependent Gaussian scaling windows. This multi-scale time-frequency analysis provides information about which frequencies occur and more importantly when they occur. Furthermore, the Stockwell domain can be directly inferred from the Fourier domain and vice versa. These features make the ST a potentially effective tool to visualize, analyze, and process medical imaging data. The ST has proven useful in noise reduction and tissue texture analysis. Herein, we focus on the theory and effectiveness of the ST for medical imaging. Its effectiveness and comparison with other linear time-frequency transforms, such as the Gabor and wavelet transforms, are discussed and demonstrated using functional magnetic resonance imaging data.

Algorithms↗
PubMedDate not supplied

Use of Fourier analysis to determine age-related changes in the facial profile.

This study demonstrated the feasibility and utility of fitting a Fourier function to the facial profile to accurately characterize changes in shape associated with aging, orthodontic or prosthodontic treatment, and orthognathic surgery. In contrast to conventional metric approaches, Fourier analysis provided a detailed measurement of the facial profile and facilitated the quantitative assessment of changes in its shape. Fourier functions, corrected for size, were computed for each of the 77 facial profiles and used to measure longitudinal changes in the midsagittal facial outline. The facial profile segment between the maxillary and mandibular lips showed the greatest variability and the tip of the nose the least variability in persons with intact dentitions.

Aging↗
PubMed1995

Two-dimensional fourier analysis of electron micrographs of human skin for quantification of the collagen fiber organization in the dermis.

Two-dimensional (2-D) Fourier analysis was used to quantify the structural organization of collagen fibers in the dermis of the human skin. The 2-D Fourier spectra of electron micrographs of collagen fibers contained large amplitude Fourier components (1 fundamental and 3 harmonic peaks), representing the predominant structural parameter of the fibers, the center-to-center spacing of collagen fibrils. The average center-to-center spacing of the collagen fibrils was found from the position of the peaks. For a normal fiber of reticular dermis, this spacing was 116 nm. The fibril diameter appeared to modulate the peak heights.

Collagen↗
PubMed1997

Power vectors: an application of Fourier analysis to the description and statistical analysis of refractive error.

The description of sphero-cylinder lenses is approached from the viewpoint of Fourier analysis of the power profile. It is shown that the familiar sine-squared law leads naturally to a Fourier series representation with exactly three Fourier coefficients, representing the natural parameters of a thin lens. The constant term corresponds to the mean spherical equivalent (MSE) power, whereas the amplitude and phase of the harmonic correspond to the power and axis of a Jackson cross-cylinder (JCC) lens, respectively. Expressing the Fourier series in rectangular form leads to the representation of an arbitrary sphero-cylinder lens as the sum of a spherical lens and two cross-cylinders, one at axis 0 degree and the other at axis 45 degrees. The power of these three component lenses may be interpreted as (x,y,z) coordinates of a vector representation of the power profile. Advantages of this power vector representation of a sphero-cylinder lens for numerical and graphical analysis of optometric data are described for problems involving lens combinations, comparison of different lenses, and the statistical distribution of refractive errors.

Computer Graphics↗
PubMed1999

Fourier analysis of textural variations in human normal and cataractous lens nuclear fiber cell cytoplasm.

Variations in cytoplasmic texture of human normal and cataractous lenses were investigated with Fourier analysis. Fixed Vibratome sections of six normal transparent human lenses (age range 55-72 years) and six nuclear cataractous lenses (age range 66-89 years) were examined using transmission electron microscopy. Images were taken of the fiber cell cytoplasm and examined using linear optical density scans, Fourier transforms and autocorrelation analysis. The cytoplasm of normal human lenses was found to be smooth and homogeneous. Radially-averaged plots of Fourier transforms revealed a broad band of intensity over the range of 15-50 nm. Four of the six cataracts also had homogeneous cytoplasm without substantial density variations. Fourier transforms and radially-averaged plots were similar to those of the normal, although slightly lower in intensity for components</=20 nm. Two of the six cataracts had a slightly granular or textured cytoplasm that showed significant density variations. Fourier transforms and radially-averaged plots revealed significant intensity in the range>/=200 nm. Autocorrelation analysis supported the data obtained by Fourier transforms. Radially-averaged plots of the autocorrelation resultant displays detected only small structural units in the normal and non-textured cataractous cytoplasm, whereas larger structural units were detected in the textured cataractous cytoplasm. The appearance of the textured cataractous cytoplasm suggests that redistribution or loss of protein may be the cause of density variations in these types of cataracts. Importantly, these results indicate that some nuclear cataracts do not contain spatial fluctuations in the cytoplasm large enough to cause significant light scattering. The data suggest that nuclear cataractogenesis is a multi-factorial process involving minor alterations in cellular structure.

Aged↗
PubMed1990

Fourier analysis of the forehead shape of skull and sex determination by use of computer.

The forehead shape of the skull was quantified with the Fourier analysis method by using 100 male and 100 female radiographic lateral views of the skull, and sex difference in the forehead shape was studied. Furthermore to predict the sex of cranial specimens, an automated sexing computer system based on the quantification was created. The effectiveness of the system was evaluated by checking 56 male and 56 female specimens of skulls. This system was proved to discriminate male and female skulls from forehead shapes with 85% accuracy.

Adult↗
PubMed1993

FT3D: three-dimensional Fourier analysis on small Unix workstations for electron microscopy and tomographic studies.

FT3D is a self-contained package of tools for three-dimensional Fourier analysis, written in the C language for Unix workstations. It can evaluate direct transforms of three-dimensional real functions, inverse transforms, auto- and cross-correlations and spectra. The library has been developed to support three-dimensional reconstructions of biological structures from projections obtained in the electron microscope. This paper discusses some features of the library, which has been implemented in such a way as to profit from the resources of modern workstations. A table of elapsed times for jobs of different dimensions with different RAM buffers is reported for the particular hardware used in the authors' laboratory.

Algorithms↗
PubMed1981

[Clinical usefulness of RI angiography using amplitude image and phase image by Fourier analysis for the detection of anteroseptal myocardial infarction (author's transl)].

In 19 patients with anteroseptal myocardial infarction, the wall motion of interventricular septum was analyzed by RI angiography using the amplitude image and the phase image. Both images were obtained from ECG gated blood pool data by Fourier analysis. Namely, from the first harmonic in the Fourier series, the heart motion was detected as the amplitude and phase of time-activity curve in each pixel. The distribution of the amplitudes and phases were displayed in color scale, and then both the amplitude and phase images were acquired. Those images allowed us visualization of the ischemic area, even if the scar was parallel to the detector. Moreover, we were able to assess the wall motion of the entire interventricular septum and to distinguish hypokinetic region and dyskinetic region from the hypokinetic region with shift of phase estimated by conventional method. Abnormal region detected by those images closely corresponded with the region of decreased radioisotope concentration in thallium-201 myocardial scintigram.

Adult↗
PubMed1984

Accuracy and precision of regional multiharmonic Fourier analysis of gated blood-pool images.

In order to estimate the precision and accuracy of parameters derived from segmental multiharmonic Fourier analysis of gated blood-pool images, a Monte Carlo computer noise simulation was tested on five sample regional time-activity curves. The first three Fourier harmonics were retained and the precision and accuracy of parameters of ventricular function were calculated, varying the ejection fraction, segment size, and framing rate. Precision improved with higher ejection fraction, higher counts per frame, or higher framing rate. There was no change in precision as the framing rate changed at fixed total counts. Accuracy changed little with changing framing rate. Thus, for segmental analysis there is no advantage to using a higher framing rate. Regions five or more pixels in size are recommended for reliable results. This study provides useful information for the optimization of acquisition and processing conditions for regional gated blood-pool analysis.

Cardiac Output↗
PubMed1981

Estimation of inter-electrode distance for body surface mapping: application of Fourier analysis to potential distribution due to the epicardial breakthrough.

For the purpose of determining an appropriate distance of lead points for constructing body surface maps, Fourier analysis was performed on potential distribution reflecting the epicardial breakthrough, and inter-electrode distance necessary for sampling of harmonics contributing to the body surface potential distribution was determined by application of sampling theorem. Potential distribution was simultaneously recorded with an interval of 4 mm for 250 msec along the vertical (head to foot) and horizontal (right to left) line crossing a second-minimum appearing on the chest surface of a healthy adult, and the data obtained from 9.6 cm along the respective lines underwent Fourier transform. Relative contribution of the second harmonics to the original wave forms increased with time lapse after QRS initiation, in accordance with reductions of the first harmonics component, and attained the maximum (32.5% of total power spectrum without d-c component) at the instant of occurrence of the second-minimum. A similar tendency was observed among higher harmonics, but their contribution was comparatively low (within 10%). Inter-electrode distance determined by sampling theorem was 4.8 cm for the first harmonics and 2.4 cm for the second harmonics. In conclusion it is proposed that placement of electrodes with an inter-electrode distance of 2.4 cm is necessary for acquiring clinically important data on the epicardial breakthrough.

Electrocardiography↗
PubMed1996

Pupillary dilatation test and Fourier analysis of pupillary oscillations in patients with multiple sclerosis.

Recently we investigated 29 patients aged between 31 and 60 years with multiple sclerosis by means of two new techniques. The first technique was based on pupillary dilatation response to the topical application of the cholinergic antagonist tropicamide. The second technique was the Fourier analysis of pupillary oscillations for measurement of central activation, carried out without and under the influence of a cognitive task. The multiple sclerosis group had a pupillary dilatation of 31.9% after 40 min. Under the influence of a cognitive task the patient group revealed lower amplitudes of pupillary oscillations reflecting a decreased capacity for cognitive activation.

Adult↗