Please use this identifier to cite or link to this item:
doi:10.22028/D291-26292
Title: | PDEs for tensor image processing |
Author(s): | Weickert, Joachim Feddern, Christian Welk, Martin Burgeth, Bernhard Brox, Thomas |
Language: | English |
Year of Publication: | 2005 |
Free key words: | matrix-valued images denoising regularisation segmentation |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | Methods based on partial differential equations (PDEs) belong to those image processing techniques that can be extended in a particularly elegant way to tensor fields. In this survey paper the most important PDEs for discontinuity-preserving denoising of tensor fields are reviewed such that the underlying design principles becomes evident. We consider isotropic and anisotropic diffusion filters and their corresponding variational methods, mean curvature motion, and selfsnakes. These filters preserve positive semidefiniteness of any positive semidefinite initial tensor field. Finally we discuss geodesic active contours for segmenting tensor fields. Experiments are presented that illustrate the behaviour of all these methods. |
Link to this record: | urn:nbn:de:bsz:291-scidok-45121 hdl:20.500.11880/26348 http://dx.doi.org/10.22028/D291-26292 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 143 |
Date of registration: | 25-Jan-2012 |
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_143_05.pdf | 882,46 kB | Adobe PDF | View/Open |
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