Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Bounds on null functions of linear digital imaging systems

E Clarkson1, H Barrett

  • 1Department of Radiology, University of Arizona, Tucson 85724, USA.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|May 14, 1998
PubMed
Summary

Digital imaging systems create data limitations, causing reconstruction differences. Smoothing techniques can minimize these errors by reducing the impact of null functions in imaging.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Management of advanced sporadic endolymphatic sac tumours: a single-centre case series.

Irish journal of medical science·2026
Same author

Intraosseous spindle cell lipoma of the maxilla: case report and review of the literature.

International journal of oral and maxillofacial surgery·2025
Same author

The impact of COVID-19 on road safety in Canada and the United States.

Accident; analysis and prevention·2021
Same author

Virtual pathological examination of the human fetal kidney using micro-CT.

Ultrasound in obstetrics & gynecology : the official journal of the International Society of Ultrasound in Obstetrics and Gynecology·2016
Same author

ADAPTIVE SMALL-ANIMAL SPECT/CT.

IEEE Nuclear Science Symposium conference record. Nuclear Science Symposium·2015
Same author

Spatial Pileup Considerations for Pixellated Gamma -ray Detectors.

IEEE Nuclear Science Symposium conference record. Nuclear Science Symposium·2015

Area of Science:

  • Digital imaging
  • Image reconstruction
  • Signal processing

Background:

  • Linear digital imaging systems inherently limit data acquisition from continuous objects.
  • This data limitation results in the presence of null functions, leading to discrepancies between reconstructed and actual objects, even in noise-free systems.
  • Positivity constraints can limit the size of null functions, particularly when size is defined by the integral of their absolute value.

Purpose of the Study:

  • To investigate the impact of smoothing on null functions in digital image reconstruction.
  • To determine the bounds and effectiveness of smoothing in mitigating the effects of null functions.
  • To explore the relationship between smoothing operators and system operators in reducing reconstruction errors.

Main Methods:

  • Analysis of null functions in linear digital imaging systems.
  • Mathematical formulation of smoothed null functions and their properties.
  • Derivation of bounds for various measures of smoothed null function size.
  • Evaluation of the impact of smoothing on object reconstruction accuracy.

Main Results:

  • Smoothing is shown to decrease the effects of null functions in object reconstructions.
  • Bounds on the size of smoothed null functions can be significantly small.
  • The effectiveness of smoothing is dependent on the degree to which the smoothing operator is matched to the system operator.

Conclusions:

  • Smoothing is a valuable technique for reducing the artifacts caused by null functions in digital imaging.
  • Optimizing the smoothing operator for the specific imaging system enhances the reduction of null function effects.
  • These findings have implications for improving the fidelity of reconstructed images in various digital imaging applications.

Related Experiment Videos