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dc.contributor.authorScherzer, Otmar ( )
dc.date.accessioned2018-11-04T22:10:35Z
dc.date.available2018-11-04T22:10:35Z
dc.date.issued1997-09-10
dc.identifier.citationScherzer, O. (1997). Stable evaluation of differential operators and linear and nonlinear multi-scale filtering. Electronic Journal of Differential Equations, 1997(15), pp. 1-12.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/7772
dc.description.abstractDiffusion processes create multi--scale analyses, which enable the generation of simplified pictures, where for increasing scale the image gets sketchier. In many practical applications the ``scaled image'' can be characterized via a variational formulation as the solution of a minimization problem involving unbounded operators. These unbounded operators can be evaluated by regularization techniques. We show that the theory of stable evaluation of unbounded operators can be applied to efficiently solve these minimization problems.en_US
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherSouthwest Texas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 1997, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectNondifferntiable optimization problemsen_US
dc.subjectRegularizationen_US
dc.subjectInverse problemsen_US
dc.subjectImage reconstructionen_US
dc.subjectBounded variation normen_US
dc.titleStable Evaluation of Differential Operators and Linear and Nonlinear Multi-scale Filteringen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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