Fourier Analysis
"Fourier Analysis" is a descriptor in the National Library of Medicine's controlled vocabulary thesaurus,
MeSH (Medical Subject Headings). Descriptors are arranged in a hierarchical structure,
which enables searching at various levels of specificity.
Analysis based on the mathematical function first formulated by Jean-Baptiste-Joseph Fourier in 1807. The function, known as the Fourier transform, describes the sinusoidal pattern of any fluctuating pattern in the physical world in terms of its amplitude and its phase. It has broad applications in biomedicine, e.g., analysis of the x-ray crystallography data pivotal in identifying the double helical nature of DNA and in analysis of other molecules, including viruses, and the modified back-projection algorithm universally used in computerized tomography imaging, etc. (From Segen, The Dictionary of Modern Medicine, 1992)
Descriptor ID |
D005583
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MeSH Number(s) |
E05.377 G17.226 L01.224.800.625
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Concept/Terms |
Fourier Analysis- Fourier Analysis
- Analysis, Fourier
- Cyclic Analysis
- Analysis, Cyclic
- Analyses, Cyclic
- Cyclic Analyses
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Below are MeSH descriptors whose meaning is more general than "Fourier Analysis".
Below are MeSH descriptors whose meaning is more specific than "Fourier Analysis".
This graph shows the total number of publications written about "Fourier Analysis" by people in this website by year, and whether "Fourier Analysis" was a major or minor topic of these publications.
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Year | Major Topic | Minor Topic | Total |
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1996 | 0 | 2 | 2 | 1997 | 0 | 1 | 1 | 1999 | 0 | 1 | 1 | 2000 | 0 | 3 | 3 | 2001 | 0 | 1 | 1 | 2002 | 0 | 1 | 1 | 2003 | 0 | 3 | 3 | 2004 | 0 | 1 | 1 | 2006 | 0 | 1 | 1 | 2007 | 0 | 2 | 2 | 2008 | 0 | 1 | 1 | 2009 | 0 | 4 | 4 | 2010 | 1 | 0 | 1 | 2011 | 0 | 5 | 5 | 2014 | 0 | 1 | 1 | 2015 | 1 | 1 | 2 | 2018 | 0 | 2 | 2 | 2020 | 0 | 1 | 1 | 2023 | 0 | 1 | 1 |
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Below are the most recent publications written about "Fourier Analysis" by people in Profiles.
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Dwork N, O'Connor D, Johnson EMI, Baron CA, Gordon JW, Pauly JM, Larson PEZ. Optimization in the space domain for density compensation with the nonuniform FFT. Magn Reson Imaging. 2023 07; 100:102-111.
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Zanotelli T, Antunes F, Simpson DM, Mazoni Andrade Mar?al Mendes E, Felix LB. Faster automatic ASSR detection using sequential tests. Int J Audiol. 2020 08; 59(8):631-639.
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Tucker LH, Hamm GR, Sargeant RJE, Goodwin RJA, Mackay CL, Campbell CJ, Clarke DJ. Untargeted Metabolite Mapping in 3D Cell Culture Models Using High Spectral Resolution FT-ICR Mass Spectrometry Imaging. Anal Chem. 2019 08 06; 91(15):9522-9529.
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Huang S, Podg?rski M, Zhang X, Sinha J, Claudino M, Stansbury JW, Bowman CN. Dental Restorative Materials Based on Thiol-Michael Photopolymerization. J Dent Res. 2018 05; 97(5):530-536.
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Rodr?guez-Soto AE, Langham MC, Abdulmalik O, Englund EK, Schwartz N, Wehrli FW. MRI quantification of human fetal O2 delivery rate in the second and third trimesters of pregnancy. Magn Reson Med. 2018 09; 80(3):1148-1157.
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Loening AM, Litwiller DV, Saranathan M, Vasanawala SS. Increased Speed and Image Quality for Pelvic Single-Shot Fast Spin-Echo Imaging with Variable Refocusing Flip Angles and Full-Fourier Acquisition. Radiology. 2017 Feb; 282(2):561-568.
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Lin L, Calawerts W, Dodd K, Jiang JJ. An Objective Parameter for Quantifying the Turbulent Noise Portion of Voice Signals. J Voice. 2016 Nov; 30(6):664-669.
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Spencer AP, Li H, Cundiff ST, Jonas DM. Pulse Propagation Effects in Optical 2D Fourier-Transform Spectroscopy: Theory. J Phys Chem A. 2015 Apr 30; 119(17):3936-60.
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Jones BL, Schefter T, Miften M. Adaptive motion mapping in pancreatic SBRT patients using Fourier transforms. Radiother Oncol. 2015 May; 115(2):217-22.
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Go YM, Uppal K, Walker DI, Tran V, Dury L, Strobel FH, Baubichon-Cortay H, Pennell KD, Roede JR, Jones DP. Mitochondrial metabolomics using high-resolution Fourier-transform mass spectrometry. Methods Mol Biol. 2014; 1198:43-73.
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