ON EFFECTIVE STOPPING TIME SELECTION FOR VISCO-PLASTIC NONLINEAR BV DIFFUSION FILTERS USED IN IMAGE DENOISING.
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| Title: | ON EFFECTIVE STOPPING TIME SELECTION FOR VISCO-PLASTIC NONLINEAR BV DIFFUSION FILTERS USED IN IMAGE DENOISING. |
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| Authors: | Frigaard, I. A.1 frigaard@math.ubc.ca, Ngwa, G.2 ubuea@uycdc.uninet.cm, Scherzer, O.3 Otmar.Scherzer@uibk.ac.at |
| Source: | SIAM Journal on Applied Mathematics. 2003, Vol. 63 Issue 6, p1911-1934. 24p. |
| Subjects: | Time study, Viscoplasticity, Burgers' equation, Heat equation, Image processing, Variational inequalities (Mathematics) |
| Abstract: | We consider denoising applications using nonlinear diffusion filters of BV type. Using the multiple timescales method, an equation is derived that approximates the time evolution of the image noise. Analysis of the corresponding variational inequality leads to an estimate of the timescale over which the noise decays to its local mean, given in terms of the filter parameters. We present a number of computed examples that demonstrate the validity of our stopping time estimate. [ABSTRACT FROM AUTHOR] |
| Copyright of SIAM Journal on Applied Mathematics is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 11749367 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: ON EFFECTIVE STOPPING TIME SELECTION FOR VISCO-PLASTIC NONLINEAR BV DIFFUSION FILTERS USED IN IMAGE DENOISING. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Frigaard%2C+I%2E+A%2E%22">Frigaard, I. A.</searchLink><relatesTo>1</relatesTo><i> frigaard@math.ubc.ca</i><br /><searchLink fieldCode="AR" term="%22Ngwa%2C+G%2E%22">Ngwa, G.</searchLink><relatesTo>2</relatesTo><i> ubuea@uycdc.uninet.cm</i><br /><searchLink fieldCode="AR" term="%22Scherzer%2C+O%2E%22">Scherzer, O.</searchLink><relatesTo>3</relatesTo><i> Otmar.Scherzer@uibk.ac.at</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22SIAM+Journal+on+Applied+Mathematics%22">SIAM Journal on Applied Mathematics</searchLink>. 2003, Vol. 63 Issue 6, p1911-1934. 24p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Time+study%22">Time study</searchLink><br /><searchLink fieldCode="DE" term="%22Viscoplasticity%22">Viscoplasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Burgers'+equation%22">Burgers' equation</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+equation%22">Heat equation</searchLink><br /><searchLink fieldCode="DE" term="%22Image+processing%22">Image processing</searchLink><br /><searchLink fieldCode="DE" term="%22Variational+inequalities+%28Mathematics%29%22">Variational inequalities (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We consider denoising applications using nonlinear diffusion filters of BV type. Using the multiple timescales method, an equation is derived that approximates the time evolution of the image noise. Analysis of the corresponding variational inequality leads to an estimate of the timescale over which the noise decays to its local mean, given in terms of the filter parameters. We present a number of computed examples that demonstrate the validity of our stopping time estimate. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of SIAM Journal on Applied Mathematics is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1137/S0036139902400465 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 24 StartPage: 1911 Subjects: – SubjectFull: Time study Type: general – SubjectFull: Viscoplasticity Type: general – SubjectFull: Burgers' equation Type: general – SubjectFull: Heat equation Type: general – SubjectFull: Image processing Type: general – SubjectFull: Variational inequalities (Mathematics) Type: general Titles: – TitleFull: ON EFFECTIVE STOPPING TIME SELECTION FOR VISCO-PLASTIC NONLINEAR BV DIFFUSION FILTERS USED IN IMAGE DENOISING. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Frigaard, I. A. – PersonEntity: Name: NameFull: Ngwa, G. – PersonEntity: Name: NameFull: Scherzer, O. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: 2003 Type: published Y: 2003 Identifiers: – Type: issn-print Value: 00361399 Numbering: – Type: volume Value: 63 – Type: issue Value: 6 Titles: – TitleFull: SIAM Journal on Applied Mathematics Type: main |
| ResultId | 1 |
