A Harmonic Analysis View on Neuroscience Imaging

  • Paul Hernandez—Herrera
  • David Jiménez
  • Ioannis A. Kakadiaris
  • Andreas Koutsogiannis
  • Demetrio Labate
  • Fernanda Laezza
  • Manos Papadakis
Chapter

Abstract

After highlighting some of the current trends in neuroscience imaging, this work studies the approximation errors due to varying directional aliasing, arising when 2D or 3D images are subjected to the action of orthogonal transformations. Such errors are common in 3D images of neurons acquired by confocal microscopes. We also present an algorithm for the construction of synthetic data (computational phantoms) for the validation of algorithms for the morphological reconstruction of neurons. Our approach delivers synthetic data that have a very high degree of fidelity with respect to their ground-truth specifications.

Keywords

Synthetic tubular data Synthetic dendrites Directional aliasing Approximation error Dendritic arbor segmentation Confocal microscopy 

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Copyright information

© Birkhäuser Boston 2013

Authors and Affiliations

  • Paul Hernandez—Herrera
    • 1
  • David Jiménez
    • 2
  • Ioannis A. Kakadiaris
    • 1
  • Andreas Koutsogiannis
    • 3
  • Demetrio Labate
    • 2
  • Fernanda Laezza
    • 4
  • Manos Papadakis
    • 2
  1. 1.Computational Biomedicine Lab, Department of Computer ScienceUniversity of HoustonHoustonUSA
  2. 2.Department of MathematicsUniversity of HoustonHoustonUSA
  3. 3.Department of MathematicsUniversity of Athens, GreeceZografouGreece
  4. 4.Department of Pharmacology and ToxicologyUniversity of Texas Medical BranchGalvestonUSA

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