Analytical, Diagnostic and Therapeutic Techniques, and Equipment

Fourier Analysis

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)

National Library of MedicineMedical Subject Headings2026

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Abstract

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)

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Synonyms

9 entry terms
  • Analysis, Cyclic
  • Analysis, Fourier
  • Cyclic Analysis
  • Analyses, Cyclic
  • Cyclic Analyses
  • Fourier Series
  • Fourier Transform
  • Series, Fourier
  • Transform, Fourier

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73

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References

  1. National Library of Medicine. Fourier Analysis. Medical Subject Headings (MeSH). 2026. Unique ID D005583. http://id.nlm.nih.gov/mesh/2026/D005583
  2. Fourier Analysis. In: Wikipedia. https://en.wikipedia.org/wiki/Fourier_analysis
  3. Fourier Analysis. In: Wikidata. https://www.wikidata.org/wiki/Q1365258