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Erschienen in:
A Short Introduction to Diffusion-Like Methods Kapitel lesen Erstes Kapitel lesen

2012 | OriginalPaper | Buchkapitel

3. 3D-Coherence-Enhancing Diffusion Filtering for Matrix Fields

verfasst von : Bernhard Burgeth, Luis Pizarro, Stephan Didas, Joachim Weickert

Erschienen in: Mathematical Methods for Signal and Image Analysis and Representation

Verlag: Springer London

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Abstract

Coherence-enhancing diffusion filtering is a striking application of the structure tensor concept in image processing. The technique deals with the problem of completion of interrupted lines and enhancement of flow-like features in images. The completion of line-like structures is also a major concern in diffusion tensor magnetic resonance imaging (DT-MRI). This medical image acquisition technique outputs a 3D matrix field of symmetric (3×3)-matrices, and it helps to visualize, for example, the nerve fibers in brain tissue. As any physical measurement DT-MRI is subjected to errors causing faulty representations of the tissue corrupted by noise and with visually interrupted lines or fibers.
In this paper we address that problem by proposing a coherence-enhancing diffusion filtering methodology for matrix fields. The approach is based on a generic structure tensor concept for matrix fields that relies on the operator-algebraic properties of symmetric matrices, rather than their channel-wise treatment of earlier proposals.
Numerical experiments with artificial and real DT-MRI data confirm the gap-closing and flow-enhancing qualities of the technique presented.

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Vorheriges Kapitel Adaptive Filtering Using Channel Representations
Nächstes Kapitel Structural Adaptive Smoothing: Principles and Applications in Imaging
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Metadaten
Titel
3D-Coherence-Enhancing Diffusion Filtering for Matrix Fields
verfasst von
Bernhard Burgeth
Luis Pizarro
Stephan Didas
Joachim Weickert
Copyright-Jahr
2012
Verlag
Springer London
Buch
Mathematical Methods for Signal and Image Analysis and Representation

Print ISBN: 978-1-4471-2352-1

Electronic ISBN: 978-1-4471-2353-8

Copyright-Jahr: 2012

DOI
https://doi.org/10.1007/978-1-4471-2353-8_3

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