Quality time with the fractious fourier family

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

The Fourier family comprises a wide variety of mathematical transforms, some of them well established in the image-science community, some lesser known but deserving of more recognition. The goal of this paper is to survey the genealogy of this family and to show some possibly non-obvious applications of each member. Three central premises run through the discussion: (1) There can be no science of imaging without a scientific approach to the evaluation of image quality; (2) Image quality must be defined in terms of the information that is desired from the image and the method of extracting that information; (3) Digital images are discrete data obtained from a continuous object. These considerations will lead us to rely on rather different members of the Fourier family than the ones most often encountered in polite imaging society.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsD.P. Casasent, H.J. Caulfield, W.J. Dallas, H.H. Szu
Pages9-21
Number of pages13
Volume4392
DOIs
StatePublished - 2001
EventOptical Processing and Computing: A Tribute to Adolf Lohmann - Orlando, FL, United States
Duration: Apr 17 2001Apr 18 2001

Other

OtherOptical Processing and Computing: A Tribute to Adolf Lohmann
CountryUnited States
CityOrlando, FL
Period4/17/014/18/01

Fingerprint

Image quality
Imaging techniques
evaluation

Keywords

  • Detectability
  • Digital imaging
  • Fourier analysis
  • Image quality
  • Wigner distribution function

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Barrett, H. H. (2001). Quality time with the fractious fourier family. In D. P. Casasent, H. J. Caulfield, W. J. Dallas, & H. H. Szu (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 4392, pp. 9-21) https://doi.org/10.1117/12.432798

Quality time with the fractious fourier family. / Barrett, Harrison H.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / D.P. Casasent; H.J. Caulfield; W.J. Dallas; H.H. Szu. Vol. 4392 2001. p. 9-21.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Barrett, HH 2001, Quality time with the fractious fourier family. in DP Casasent, HJ Caulfield, WJ Dallas & HH Szu (eds), Proceedings of SPIE - The International Society for Optical Engineering. vol. 4392, pp. 9-21, Optical Processing and Computing: A Tribute to Adolf Lohmann, Orlando, FL, United States, 4/17/01. https://doi.org/10.1117/12.432798
Barrett HH. Quality time with the fractious fourier family. In Casasent DP, Caulfield HJ, Dallas WJ, Szu HH, editors, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 4392. 2001. p. 9-21 https://doi.org/10.1117/12.432798
Barrett, Harrison H. / Quality time with the fractious fourier family. Proceedings of SPIE - The International Society for Optical Engineering. editor / D.P. Casasent ; H.J. Caulfield ; W.J. Dallas ; H.H. Szu. Vol. 4392 2001. pp. 9-21
@inproceedings{f0df07f6f65b4074b97687d096c8c264,
title = "Quality time with the fractious fourier family",
abstract = "The Fourier family comprises a wide variety of mathematical transforms, some of them well established in the image-science community, some lesser known but deserving of more recognition. The goal of this paper is to survey the genealogy of this family and to show some possibly non-obvious applications of each member. Three central premises run through the discussion: (1) There can be no science of imaging without a scientific approach to the evaluation of image quality; (2) Image quality must be defined in terms of the information that is desired from the image and the method of extracting that information; (3) Digital images are discrete data obtained from a continuous object. These considerations will lead us to rely on rather different members of the Fourier family than the ones most often encountered in polite imaging society.",
keywords = "Detectability, Digital imaging, Fourier analysis, Image quality, Wigner distribution function",
author = "Barrett, {Harrison H}",
year = "2001",
doi = "10.1117/12.432798",
language = "English (US)",
volume = "4392",
pages = "9--21",
editor = "D.P. Casasent and H.J. Caulfield and W.J. Dallas and H.H. Szu",
booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

}

TY - GEN

T1 - Quality time with the fractious fourier family

AU - Barrett, Harrison H

PY - 2001

Y1 - 2001

N2 - The Fourier family comprises a wide variety of mathematical transforms, some of them well established in the image-science community, some lesser known but deserving of more recognition. The goal of this paper is to survey the genealogy of this family and to show some possibly non-obvious applications of each member. Three central premises run through the discussion: (1) There can be no science of imaging without a scientific approach to the evaluation of image quality; (2) Image quality must be defined in terms of the information that is desired from the image and the method of extracting that information; (3) Digital images are discrete data obtained from a continuous object. These considerations will lead us to rely on rather different members of the Fourier family than the ones most often encountered in polite imaging society.

AB - The Fourier family comprises a wide variety of mathematical transforms, some of them well established in the image-science community, some lesser known but deserving of more recognition. The goal of this paper is to survey the genealogy of this family and to show some possibly non-obvious applications of each member. Three central premises run through the discussion: (1) There can be no science of imaging without a scientific approach to the evaluation of image quality; (2) Image quality must be defined in terms of the information that is desired from the image and the method of extracting that information; (3) Digital images are discrete data obtained from a continuous object. These considerations will lead us to rely on rather different members of the Fourier family than the ones most often encountered in polite imaging society.

KW - Detectability

KW - Digital imaging

KW - Fourier analysis

KW - Image quality

KW - Wigner distribution function

UR - http://www.scopus.com/inward/record.url?scp=0034867504&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034867504&partnerID=8YFLogxK

U2 - 10.1117/12.432798

DO - 10.1117/12.432798

M3 - Conference contribution

AN - SCOPUS:0034867504

VL - 4392

SP - 9

EP - 21

BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Casasent, D.P.

A2 - Caulfield, H.J.

A2 - Dallas, W.J.

A2 - Szu, H.H.

ER -