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

Higher-order (nonlinear) diffraction tomography: reconstruction algorithms and computer simulation.

G A Tsihrintzis1, A J Devaney

  • 1Department of Informatics, University of Piraeus, Piraeus, 18534, Greece. geoatsi@unipi.gr

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|February 12, 2008
PubMed
Summary
This summary is machine-generated.

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

Inversion formula for inverse scattering within the Born approximation.

Optics letters·2009
Same author

On a relationship between spectral properties and spatial coherence properties of light.

Optics letters·2009
Same author

Inverse-scattering theory within the Rytov approximation.

Optics letters·2009
Same author

Estimation of object location from wideband scattering data.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2008
Same author

Decrease in spatial coherence of light propagating in free space.

Optics letters·2008
Same author

Three-dimensional images generated by quadrature interferometry.

Optics letters·2007
Same journal

Mask-guided Asymmetric Contrastive and Semantic Alignment for Unsupervised Person Re-Identification.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Hyperbolic Cycle Alignment for Infrared-Visible Image Fusion.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Learning Gaze Synthesizer via 3D-eye Controlled Diffusion and Cross-domain Feature Alignment.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Underlying Semantic Diffusion for Effective and Efficient In-Context Learning.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

DiffRES: Unleashing Text-to-Image Diffusion Models for Generative Referring Expression Segmentation without Information Leakage.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Location Matters: Frequency-Spatial Dual Space Adaptation for Cross-Domain Few-Shot Segmentation.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
See all related articles

This study generalizes diffraction tomography to nonlinear propagation transforms using the Born series. New algorithms reconstruct scattered field data, demonstrating performance for cylindrical objects.

Area of Science:

  • Physics
  • Applied Mathematics
  • Imaging Science

Background:

  • Diffraction tomography typically uses linear propagation models.
  • Scattering experiments often involve nonlinear interactions not captured by linear models.

Purpose of the Study:

  • To generalize diffraction tomography to nonlinear propagation transforms.
  • To develop and evaluate nonlinear tomographic reconstruction algorithms.
  • To model scattered field data using an extended Born series.

Main Methods:

  • Generalization of the standard propagation transform to higher-order, nonlinear transforms.
  • Development of nonlinear tomographic reconstruction algorithms for inverting scattered field data.
  • Utilizing the Born series expansion up to an arbitrary number of terms.

Related Experiment Videos

Main Results:

  • Successful generalization of diffraction tomography to nonlinear propagation.
  • Development of algorithms capable of inverting data modeled by extensive Born series.
  • Demonstrated performance of algorithms for scattering objects with cylindrical symmetry via computer simulations.

Conclusions:

  • The developed nonlinear algorithms offer a more comprehensive approach to diffraction tomography.
  • The methods are applicable to scattering scenarios beyond the linear regime.
  • Computer simulations validate the effectiveness of the nonlinear reconstruction techniques.