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 DT-MRI tensor field dilation erosion |
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 hdl:20.500.11880/26572 http://dx.doi.org/10.22028/D291-26516 |
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 |
Files for this record:
File | Description | Size | Format | |
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preprint_237_09.pdf | 2,66 MB | Adobe PDF | View/Open |
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