Comparison of Wiener spectra of quantum mottle for screen-film systems with modulation transfer functions

Hidetaka Arimura, Tomohiko Okawa, Hideaki Kubota, Masao Matsumoto, Hitoshi Kanamori

Research output: Contribution to journalConference article

Abstract

Rossmann proposed that the Wiener spectrum of the quantum mottle was proportional to the square of the modulation transfer function(MTF) of the screen-film system. On the other hand, Lubberts pointed out that the shape of the Wiener spectrum of the quantum mottle depended on the sum of the squares of the MTFs for different depths in the screen phosphor layer, rather than the square of the sum of the MTFs for the different depths, i.e., the square of the MTF of the screen-film system. The purpose of this study is to experimentally investigate the proportionality between the Wiener spectrum of the quantum mottle and the square of the MTF of the screen-film system using two screen-film systems having different screen thicknesses. For the purpose, we determined correction factors for the square of the MTF of the screen-film system in the Wiener spectrum of the quantum mottle, that is, the ratios of the sums of the squares of the MTFs for different depths to the squares of the MTFs of the screen-film systems so that the theoretical Wiener spectral values of the screen mottle fitted the experimental values. For the thin screen, the correction factors were unity for all spatial frequencies, that is, the Wiener spectra of the quantum mottle were proportional to the square of the MTF of the screen-film system. On the contrary, for the thick screen, the factor increased with the spatial frequency, that is, the Wiener spectra were proportional to the sum of the squares of the MTFs. Therefore, we can conclude that the relation between the Wiener spectrum of the quantum mottle and the MTF of the screen-film system, for thin screen, agrees with Rossmann's theory, whereas, for thick screen, agrees with Lubberts' theory.

Original languageEnglish
Pages (from-to)675-683
Number of pages9
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume3336
DOIs
Publication statusPublished - Jan 1 1998
Externally publishedYes
EventMedical Imaging 1998: Physics of Medical Imaging - San Diego, CA, United States
Duration: Feb 22 1998Feb 24 1998

Fingerprint

Optical transfer function
modulation transfer function
Transfer Function
Modulation
Directly proportional
Phosphors
Phosphor
phosphors
unity

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Comparison of Wiener spectra of quantum mottle for screen-film systems with modulation transfer functions. / Arimura, Hidetaka; Okawa, Tomohiko; Kubota, Hideaki; Matsumoto, Masao; Kanamori, Hitoshi.

In: Proceedings of SPIE - The International Society for Optical Engineering, Vol. 3336, 01.01.1998, p. 675-683.

Research output: Contribution to journalConference article

@article{87132182ffe44849bad7f7309def1b52,
title = "Comparison of Wiener spectra of quantum mottle for screen-film systems with modulation transfer functions",
abstract = "Rossmann proposed that the Wiener spectrum of the quantum mottle was proportional to the square of the modulation transfer function(MTF) of the screen-film system. On the other hand, Lubberts pointed out that the shape of the Wiener spectrum of the quantum mottle depended on the sum of the squares of the MTFs for different depths in the screen phosphor layer, rather than the square of the sum of the MTFs for the different depths, i.e., the square of the MTF of the screen-film system. The purpose of this study is to experimentally investigate the proportionality between the Wiener spectrum of the quantum mottle and the square of the MTF of the screen-film system using two screen-film systems having different screen thicknesses. For the purpose, we determined correction factors for the square of the MTF of the screen-film system in the Wiener spectrum of the quantum mottle, that is, the ratios of the sums of the squares of the MTFs for different depths to the squares of the MTFs of the screen-film systems so that the theoretical Wiener spectral values of the screen mottle fitted the experimental values. For the thin screen, the correction factors were unity for all spatial frequencies, that is, the Wiener spectra of the quantum mottle were proportional to the square of the MTF of the screen-film system. On the contrary, for the thick screen, the factor increased with the spatial frequency, that is, the Wiener spectra were proportional to the sum of the squares of the MTFs. Therefore, we can conclude that the relation between the Wiener spectrum of the quantum mottle and the MTF of the screen-film system, for thin screen, agrees with Rossmann's theory, whereas, for thick screen, agrees with Lubberts' theory.",
author = "Hidetaka Arimura and Tomohiko Okawa and Hideaki Kubota and Masao Matsumoto and Hitoshi Kanamori",
year = "1998",
month = "1",
day = "1",
doi = "10.1117/12.317073",
language = "English",
volume = "3336",
pages = "675--683",
journal = "Proceedings of SPIE - The International Society for Optical Engineering",
issn = "0277-786X",
publisher = "SPIE",

}

TY - JOUR

T1 - Comparison of Wiener spectra of quantum mottle for screen-film systems with modulation transfer functions

AU - Arimura, Hidetaka

AU - Okawa, Tomohiko

AU - Kubota, Hideaki

AU - Matsumoto, Masao

AU - Kanamori, Hitoshi

PY - 1998/1/1

Y1 - 1998/1/1

N2 - Rossmann proposed that the Wiener spectrum of the quantum mottle was proportional to the square of the modulation transfer function(MTF) of the screen-film system. On the other hand, Lubberts pointed out that the shape of the Wiener spectrum of the quantum mottle depended on the sum of the squares of the MTFs for different depths in the screen phosphor layer, rather than the square of the sum of the MTFs for the different depths, i.e., the square of the MTF of the screen-film system. The purpose of this study is to experimentally investigate the proportionality between the Wiener spectrum of the quantum mottle and the square of the MTF of the screen-film system using two screen-film systems having different screen thicknesses. For the purpose, we determined correction factors for the square of the MTF of the screen-film system in the Wiener spectrum of the quantum mottle, that is, the ratios of the sums of the squares of the MTFs for different depths to the squares of the MTFs of the screen-film systems so that the theoretical Wiener spectral values of the screen mottle fitted the experimental values. For the thin screen, the correction factors were unity for all spatial frequencies, that is, the Wiener spectra of the quantum mottle were proportional to the square of the MTF of the screen-film system. On the contrary, for the thick screen, the factor increased with the spatial frequency, that is, the Wiener spectra were proportional to the sum of the squares of the MTFs. Therefore, we can conclude that the relation between the Wiener spectrum of the quantum mottle and the MTF of the screen-film system, for thin screen, agrees with Rossmann's theory, whereas, for thick screen, agrees with Lubberts' theory.

AB - Rossmann proposed that the Wiener spectrum of the quantum mottle was proportional to the square of the modulation transfer function(MTF) of the screen-film system. On the other hand, Lubberts pointed out that the shape of the Wiener spectrum of the quantum mottle depended on the sum of the squares of the MTFs for different depths in the screen phosphor layer, rather than the square of the sum of the MTFs for the different depths, i.e., the square of the MTF of the screen-film system. The purpose of this study is to experimentally investigate the proportionality between the Wiener spectrum of the quantum mottle and the square of the MTF of the screen-film system using two screen-film systems having different screen thicknesses. For the purpose, we determined correction factors for the square of the MTF of the screen-film system in the Wiener spectrum of the quantum mottle, that is, the ratios of the sums of the squares of the MTFs for different depths to the squares of the MTFs of the screen-film systems so that the theoretical Wiener spectral values of the screen mottle fitted the experimental values. For the thin screen, the correction factors were unity for all spatial frequencies, that is, the Wiener spectra of the quantum mottle were proportional to the square of the MTF of the screen-film system. On the contrary, for the thick screen, the factor increased with the spatial frequency, that is, the Wiener spectra were proportional to the sum of the squares of the MTFs. Therefore, we can conclude that the relation between the Wiener spectrum of the quantum mottle and the MTF of the screen-film system, for thin screen, agrees with Rossmann's theory, whereas, for thick screen, agrees with Lubberts' theory.

UR - http://www.scopus.com/inward/record.url?scp=0032402957&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032402957&partnerID=8YFLogxK

U2 - 10.1117/12.317073

DO - 10.1117/12.317073

M3 - Conference article

AN - SCOPUS:0032402957

VL - 3336

SP - 675

EP - 683

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

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

SN - 0277-786X

ER -