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Preprint (Vorabdruck) zugänglich unter
A general structure tensor concept and coherence-enhancing diffusion filtering for matrix fields
URN: urn:nbn:de:bsz:291-scidok-47275
URL: http://scidok.sulb.uni-saarland.de/volltexte/2012/4727/
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Dokument 1.pdf (1.491 KB) (Rechte geklärt - kein Vertrag notwendig)
Freie Schlagwörter (Englisch):
matrix field , symmetric matrix , diffusion tensor MRI , CED , structure tensor
Institut:
Fachrichtung 6.1 - Mathematik
DDC-Sachgruppe:
Mathematik
Dokumentart:
Preprint (Vorabdruck)
Schriftenreihe:
Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Bandnummer:
197
Sprache:
Englisch
Erstellungsjahr:
2007
Publikationsdatum:
20.03.2012
Kurzfassung auf Englisch:
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 visualise, 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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