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When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
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Measurement Reduction Methods for Processing Tomographic Images.

Alexey I Chulichkov1, Dmitriy A Balakin1

  • 1Faculty of Physics, M. V. Lomonosov Moscow State University, Leninskie Gory, 1, Bld 2, Moscow 119991, Russia.

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|January 21, 2023
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Summary

Developing new methods for object image reconstruction from sinograms is crucial for accurate results. These techniques reduce artifacts and improve image sharpness, even when prior information is imperfect.

Keywords:
image processingmeasurement reductionoptimal estimationtomography

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Area of Science:

  • Medical imaging
  • Computer-aided measurement systems
  • Image reconstruction

Background:

  • Reconstructing object images from sinograms is essential in tomography.
  • Artifacts and insufficient sharpness can compromise image quality when prior information is inaccurate.
  • Existing methods face challenges due to high image dimensionality.

Purpose of the Study:

  • To develop novel methods for artifact-free image reconstruction from tomography data.
  • To address limitations of current algorithms by incorporating additional object information.
  • To improve the accuracy and sharpness of reconstructed images.

Main Methods:

  • Utilizing less artifact-inducing information, such as non-negativeness of brightness, to narrow image possibilities.
  • Applying a local approach: correcting unfiltered backprojection with locally optimal linear transformations.
  • Directly processing sinograms without backprojection using iterative measurement reduction techniques.

Main Results:

  • Proposed methods effectively reduce artifacts and enhance image sharpness in reconstructions.
  • Demonstrated successful application in processing dental sinograms.
  • Overcame dimensionality challenges inherent in direct reconstruction algorithms.

Conclusions:

  • New methods offer improved artifact reduction and image quality in tomography.
  • The local transformation and direct sinogram processing techniques are effective alternatives.
  • These advancements are particularly beneficial for applications like dental imaging.