Please use this identifier to cite or link to this item:
doi:10.22028/D291-26313
Title: | Theoretical foundations for 1-D shock filtering |
Author(s): | Welk, Martin Weickert, Joachim Galic, Irena |
Language: | English |
Year of Publication: | 2005 |
Free key words: | analytical solution well-posedness dynamical system mode filter |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | While shock filters are popular morphological image enhancement methods, no well-posedness theory is available for their corresponding partial differential equations (PDEs). By analysing the dynamical system of ordinary differential equations that results from a space discretisation of a PDE for 1-D shock filtering, we derive an analytical solution and prove well-posedness. We show that the results carry over to the fully discrete case when an explicit time discretisation is applied. Finally we establish an equivalence result between discrete shock filtering and local mode filtering. |
Link to this record: | urn:nbn:de:bsz:291-scidok-46185 hdl:20.500.11880/26369 http://dx.doi.org/10.22028/D291-26313 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 150 |
Date of registration: | 24-Feb-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_150_05.pdf | 210,96 kB | Adobe PDF | View/Open |
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