Please use this identifier to cite or link to this item: doi:10.22028/D291-26516
Title: Adaptive continuous-scale morphology for matrix fields
Author(s): Burgeth, Bernhard
Pizarro, Luis
Breuß, Michael
Weickert, Joachim
Language: English
Year of Publication: 2009
Free key words: PDEs
tensor field
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: In this article we consider adaptive, PDE-driven morphological operations for 3D matrix fields arising e.g. in diffusion tensor magnetic resonance imaging (DT-MRI). The anisotropic evolution is steered by a matrix constructed from a structure tensor for matrix valued data. An important novelty is an intrinsically one-dimensional directional variant of the matrix-valued upwind schemes such as the Rouy-Tourin scheme. It enables our method to complete or enhance anisotropic structures effectively. A special advantage of our approach is that upwind schemes are utilised only in their basic one-dimensional version. No higher dimensional variants of the schemes themselves are required. Experiments with synthetic and real-world data substantiate the gap-closing and line-completing properties of the proposed method.
Link to this record: urn:nbn:de:bsz:291-scidok-47711
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 237
Date of registration: 6-Jun-2013
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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