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Hough Based Evolutions for Enhancing Structures in 3D Electron Microscopy

  • 2019
  • OriginalPaper
  • Chapter
Published in:
Authors
Kireeti Bodduna
Joachim Weickert
Achilleas S. Frangakis
Published in
Computer Analysis of Images and Patterns
Publisher
Springer International Publishing

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Abstract

Connecting interrupted line-like structures is a frequent problem in image processing. Here we focus on the specific needs that occur in 3D biophysical data analysis in electron microscopy (EM). We introduce a powerful framework for connecting line-like structures in 3D data sets by combining a specific semilocal Hough transform with a directional evolution equation. The Hough transform allows to find the principal orientations of the local structures in a robust way, and the evolution equation is designed as a partial differential equation that smoothes along these principal orientations. We evaluate the performance of our method for enhancing structures in both synthetic and real-world EM data. In contrast to traditional structure tensor based methods such as coherence-enhancing diffusion, our method can handle the missing wedge problem in EM, also known as limited angle tomography problem. A modified version of our approach is also able to tackle the discontinuities created due to the contrast transfer function correction of EM images.

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Title
Hough Based Evolutions for Enhancing Structures in 3D Electron Microscopy
Authors
Kireeti Bodduna
Joachim Weickert
Achilleas S. Frangakis
Copyright Year
2019
Book
Computer Analysis of Images and Patterns

Print ISBN: 978-3-030-29887-6

Electronic ISBN: 978-3-030-29888-3

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-29888-3_9
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